France



The magnetic fields generated by spins and currents provide a&lt;br/&gt;unique window into the physics of correlated-electron materials and devices. Proposed only a decade ago,&lt;br/&gt;magnetometry based on the electron spin of nitrogen-vacancy (NV) defects in diamond is emerging as a&lt;br/&gt;platform that is exceptionally suited for probing condensed matter systems [1]: it can be operated from&lt;br/&gt;cryogenic temperatures to above room temperature, has a dynamic range spanning from DC to GHz, and&lt;br/&gt;allows sensor-sample distances as small as a few nanometers. As such, NV magnetometry provides access to&lt;br/&gt;static and dynamic magnetic and electronic phenomena with nanoscale spatial resolution. While pioneering&lt;br/&gt;work focused on proof-of-principle demonstrations of its nanoscale imaging resolution and magnetic field&lt;br/&gt;sensitivity, now experiments are starting to probe the correlated-electron physics of magnets and&lt;br/&gt;superconductors and to explore the current distributions in low-dimensional materials [1]. In this talk, I will&lt;br/&gt;review some of our recent work that uses NV center magnetometry to image skyrmions in thin magnetic films&lt;br/&gt;[2], measure the spin chemical potential in magnetic insulators [3], and image hydrodynamic electron flow in&lt;br/&gt;layered materials [4,5].

**References:**

1. F. Casola et al., Nat. Rev. Mater. 2018&lt;br/&gt;2. Y. Dovzhenko et al., Nature Comm. 2018.&lt;br/&gt;3. C. Du et al., Science 2017.&lt;br/&gt;4. M. Ku et al., Nature 2020.&lt;br/&gt;5. Uri Vool et al., arXiv2009.04477





INTERMAG 2021

Quantum Sensing of Quantum Materials using NV-Center Microscopy

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The magnetic fields generated by spins and currents provide a unique window into the physics of correlated-electron materials and devices. Proposed only a decade ago, magnetometry based on the electron spin of nitrogen-vacancy (NV) defects in diamond is emerging as a platform that is exceptionally suited for probing condensed matter systems [1]: it can be operated from cryogenic temperatures to above room temperature, has a dynamic range spanning from DC to GHz, and allows sensor-sample distances as small as a few nanometers. As such, NV magnetometry provides access to static and dynamic magnetic and electronic phenomena with nanoscale spatial resolution. While pioneering work focused on proof-of-principle demonstrations of its nanoscale imaging resolution and magnetic field sensitivity, now experiments are starting to probe the correlated-electron physics of magnets and superconductors and to explore the current distributions in low-dimensional materials [1]. In this talk, I will review some of our recent work that uses NV center magnetometry to image skyrmions in thin magnetic films [2], measure the spin chemical potential in magnetic insulators [3], and image hydrodynamic electron flow in layered materials [4,5].

**References:**

1. F. Casola et al., Nat. Rev. Mater. 2018 2. Y. Dovzhenko et al., Nature Comm. 2018. 3. C. Du et al., Science 2017. 4. M. Ku et al., Nature 2020. 5. Uri Vool et al., arXiv2009.04477

technical paper

In the last months, due to the COVID-19 pandemic, we have become familiar with the expression “rapid tests” referred to fast and easy-to-use bioanalytical devices to detect viral proteins or antibodies generated by the patient’s immune system in response to the infection. The same type of rapid tests is extremely interesting to detect cancer biomarkers for disease screening and early diagnosis. Besides the fast response, the optimal technology should be low-cost, easy to use, and portable. The rapid tests rely on the lateral flow immunoassay (LFIA) technique [1]. The LFIA substrate is a strip of nitrocellulose membrane along which the liquid sample containing the molecule of interest can flow by capillary action. Before this flow, the analyte is specifically tagged with fluorescent enzymes or particles to make it visible. Two lines of recognition molecules are immobilized across the strip: (i) the test line, formed by a molecule that captures the tagged molecule of interest, and (ii) the control line, at which the unbound tags are trapped. The LFIA technique is used for point-of-care detection of various biomarkers; the best known is the pregnancy hormone in the popular home pregnancy tests that we can buy in the pharmacy and use ourselves with no prescription. There are some limitations for LFIA expansion, mainly their sensitivity and limit of quantification, which are not sufficient for some biomedical applications. Despite their limitations, WHO highly encourages the research into their performance and utility for disease surveillance [2]. There are two crucial ways in which magnetism can contribute effectively to improve the performance of rapid diagnostic tests: magnetic nanotags and magnetic sensing. The use of magnetic particles to tag the biomolecule of interest can have several advantages compared to non-magnetic tags (used for optical detection): magnetic immuno-concentration, magnetic detection, and long-lasting signal. Once the biomolecule is tagged by magnetic particles, the magnetic pre-concentration or isolation of the target biomolecule can be achieved by a magnetic gradient that attracts them and allow their separation from the original medium. This is enormously advantageous to increase the sensitivity of any technique that is applied after it. We can then detect the particles through a magnetic sensor without interferences from the paper strip or the biological fluid. Finally, the magnetic signal coming from the particles in the test line perdures in time and is insensitive to the paper strip aging or staining [3]. We recently developed a bio-detection method based on LFIA using superparamagnetic labels combined with an inductive sensor for reading out their signal. We proved the viability of the technique for quantifying prostatic cancer biomarkers [3] and toxic biogenic amines [4] in the range of interest. In this work, we have developed a lateral flow immunoassay (LFIA) system to detect plasma-derived extracellular vesicles (EV). These small (micro- or nano-sized) membrane structures are released by cells to mediate intercellular communication. Given that they carry proteins and micro-RNA specific to their cell of origin, they are nowadays thoroughly studied as disease biomarkers. We used superparamagnetic iron oxide nanoparticles coated with a double layer of oleic acid [5] as reporter labels. They were conjugated to antibodies against proteins expressed in the EVs surface, specifically CD-63 and CD-147. The latter is in higher concentrations in patients with colorectal cancer [6]. We used different concentrations of EVs purified from human plasma to perform LFIA tests to calibrate the system. Fig. 1 shows some of the LFIA strips obtained for such calibration. Subsequently, the strips were analyzed by a commercial reflectance sensor and our magnetic inductive sensor. The results for the assays with CD63 are shown in Fig. 2. We can appreciate that the linear range extends to all the concentration range understudy for the magnetic sensor. The tendency to saturation that we observe with the optical reader is typical of the immunoassays and is caused by the available antibodies' occupation. Given that the reflectance signal comes only from the particles at the surface of the membrane, the saturation is achieved at lower concentrations than in the magnetic one, which comes from the whole volume. Besides this obvious advantage, the magnetic sensor provides better linearity (even taking a reduced linear range of concentration for the optical signal) and a lower limit of detection (three times smaller for CD63 and two times smaller for CD147). We must emphasize that the analyte has not been magnetically pre-concentrated for these measurements. Such a technique will be studied in an ongoing investigation to increase further the sensitivity of the magnetic LFIA aiming at a rapid, portable technology for liquid biopsy applied to colorectal cancer screening. Acknowledgements This work was supported by the Spanish Ministry of Economy and Competitiveness (grant MAT2017-84959-C2-1-R), the Principality of Asturias (IDI/2018/000185) and the Council of Gijón/IUTA (SV-20-GIJON-1-22).

**References:**

[1] C. Parolo, A. Sena-Torralba, J.F. Bergua, et al., Nat Protoc., Vol. 15(12), p.3788 (2020) [2] https://www.who.int/news-room/commentaries/detail/advice-on-the-use-of-point-of-care-immunodiagnostic-tests-for-covid-19 [3] D. Lago-Cachón, M. Oliveira-Rodríguez, M. Rivas, et al., IEEE Magn. Lett., Vol. 8, p. 1 (2017) [4] A. Moyano, M. Salvador, J. C. Martínez-García, et al., Anal. Bioanal. Chem, Vol. 411, p. 6615 (2019) [5] D. Bica, L. Vékás, M.V. Avdeev, et al., J. Magn. Magn. Vol. 311, p. 17 (2007). [6] Y. Yoshioka, N. Kosaka, Y. Konishi, et al., Nat. Commun. Vol. 5, p. 1 (2014)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/f92db3f9ddab9742d7c6522ff6432089.jpg)
LFIA strips performed to test the concentration of human-plasma circulating EVs expressing CD63.

![](https://assets.underline.io/uploads/markdown_image/1/image/0b555f1683f3ae239395a4ececf06bc3.jpg)
Calibration of CD63 LFIAs using the magnetic (black) and optical (orange) readers.

 Magnetic Bio-Sensing of Plasma-Derived Extracellular Vesicles for Cancer Screening

Transcranial magnetic stimulation (TMS)1,2 is a widely available technology employing strong ( up to 4 T) pulsed (up to 300 Hz) magnetic fields for diagnostics of brain functions and treatment of various brain disorders. It is currently approved for clinical application in patients with drug-resistant depression2,3, while a spectrum of new indications is emerging5-10. The current paradigm of TMS biological effects implies magnetic induction of Eddy currents in the brain cortical neurons as the leading action mechanism. However, the effects of the TMS-like magnetic fields on non-neuronal cells and some artificial systems is almost unknown. Based on literature analysis4,11-24 and our pilot experimental data, we hypothesize, that the transcranial and extracranial repetitive magnetic stimulation employing pulsed magnetic fields (MFs) generated by TMS devices can have immunomodulatory effects, affect the growth of brain and extracranial malignant tumours and applied in drug delivery control to the cells. This motivated us to explore the effects of designed 18 regimes of patterned repetitive magnetic stimulation (PRMS) on tumor cells of brain (glioblastoma multiforme, GBM) and pancreatic (pancreatic ductal adenocarcinoma) cancers and on microglia (immune cells of the brain). We also tested the effect of PRMS on a drug release from polymer nanoparticles in aqueous environment. A standard TMS device “Magstim Rapid2” with Double 70mm Air Film Coil was applied to the cell cultures spatially configured to correspond to a peak MF of 0.6 T, 0.25-50 Hz frequency, with sessions of 300 or 600 pulses. PRMS selectively modulated the viability and functional polarisation of immune-stimulated microglia in a frequency/intensity-dependent manner (Figure 1) and affected the proliferation/viability of GBM astrocytes and pancreatic cancer cells (frequency- and pulse number-dependent up- and downregulation) (Figure 2). Finally, we show the triggering of the efficient drug release from biocompatible polymer nanoparticles by the 50 Hz/2 min PRMS mode. Our pioneering findings demonstrate the potential of PRMS performed with using of re-purposed TMS equipment for immunomodulation, cancer treatment, brain repair and regeneration. We thank Sydney Vital Translational Cancer Centre (for seed grant) and Medilink Australia (for providing the “Magstim”).

**References:**

1. Barker AT, et al.: Neurosurgery 1987, 20:100-9. 2. Rossini PM, et al. U: Clinical neurophysiology 2015, 126:1071-107. 3. Post A, Keck ME: Journal of Psychiatric Research 2001, 35:193-215. 4. Funk RH, et al.: Prog Histochem Cytochem 2009, 43:177-264. 5. Nardone R, et al.: Brain research bulletin 2020, 159:44-52. 6. Gao F, et al.: J Neurosurg Sci 2017, 61:514-22. 7. Rose DK, et al.: Stroke Res Treat 2014, 2014:305236. 8. Jin Y, et al.: Pain Physician 2015, 18:E1029-46. 9. Pérocheau D, et al.: Joint, bone, spine : revue du rhumatisme 2014, 81:22-6. 10. Peng L, et al.: Medicine 2019, 98:e15572. 11. Vazana U, et al.: J Neurosci 2016, 36:7727-39. 12. Antov Y, et al.: Biophysical journal 2005, 88:2206-23. 13. Shankayi Z, et al.: Electromagn Biol Med 2014, 33:154-8. 14. Towhidi L, et al.: Radiol Oncol 2012, 46:119-25. 15. Adey WR, Sheppard AR: in Mechanistic Approaches to Interactions of Electric and Electromagnetic Fields with Living Systems: Springer, 1987. pp. 365-87. 16. Cullen CL, Young KM: Front Neural Circuits 2016, 10:26. 17. Yamaguchi S, et al.: Bioelectromagnetics 2006, 27:64-72. 18. Golovin YI, et al.: Journal of controlled release 2015, 219:43-60. 19. Kim DH, et al.: Nat Mater 2010, 9:165-71. 20. Master AM, et al.: Scientific reports 2016, 6:33560. 21. Wong W, et al.: Scientific reports 2017, 7:10919. 22. Maniotis N, et al.: Journal of Magnetism and Magnetic Materials 2019, 470:6-11. 23. Pickard M, Chari D.: Nanomedicine 2010, 5:217-32. 24. Pickard MR, Chari DM: Int J Mol Sci 2010, 11:967-81.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/675949e68680cf21b88464bc22e3c533.jpg)
Figure 1. Effect of PRMS generated by a TMS device on viability of murine microglial BV-2 cells cultured in vitro. The cells’ viability was evaluated by MTT assay in 24 h after performing magnetic treatment. Mean absorbance is directly proportional to the number of viable cells. The left bar represents absorbance in control (untreated group), and the next bars to the right represent the measurements in the cells’ cultures treated with different regimes of PRMS.

![](https://assets.underline.io/uploads/markdown_image/1/image/88bd8af725285a4c5a0ad3eb1f3c5956.jpg)
Figure 2. Effect of PRMS generated by a TMS device on viability of human pancreatic cancer cells (PANC-1) cultured in vitro. The cells’ viability was evaluated by MTT assay in 24 h after performing magnetic treatment. Mean absorbance is directly proportional to the number of viable cells. The left bar represents absorbance in control (untreated group), and the next bars to the right represent the measurements in the cells cultures treated with different regimes of PRMS. Green dashed lines indicate the borders of CI95% for mean absorbance in control (untreated group; the left bar).

 Potential effects of TMS magnetic fields beyond the conventional neurostimulation



Conventional magnetorheological (MR) fluids are colloidal suspensions prepared by dispersion of magnetisable particles in non-magnetic liquid carriers. Interestingly, they exhibit a remarkable rheological change (so-called MR effect) upon the application of a magnetic field. The reason for this is the magnetic field-guided colloidal assembly of the dispersed magnetisable particles. The self-assembly can be controlled through the field configuration (DC, AC or combinations) and most of the investigations reported in the literature focus on DC fields. In this communication we show that the use of AC fields alone or in combination of DC fields are capable to generate exotic structures with enhanced MR effect (i.e. larger viscoelastic moduli and yield stresses).

**References:**



**Images:**





 Magnetorheology in Unsteady Triaxial Fields

As the fight against Covid-19 pandemic continues, we have learned that the blood clotting caused by Covid-19 is the main issue making this disease much more server than any flu or pneumonia. Doctors are seeing an alarming number of COVID-19 patients with blood clots — gel-like clumps in the blood that cause serious problems: internal bleeding, heart attack and stroke [1]. Autopsies have also found blood clots not only in the lungs of these victims, but throughout their bloodstream [2]. The microscopic image in Fig.1 illustrates that as the red blood cells stack together to form clots, their surfaces are blocked, compromising their oxygen function. When the blood clots get bigger, they can block blood circulation and trigger heart attack or stroke. Dr. Kanthi et.al recently claim that sever Covid-19, same as AP Syndrome, induces antibody to attack the phospholipid in red cell membrane, triggering blood clotting [3]. These blood clots take most platelets, creating high risk for internal bleeding. Currently blood thinners are the only medicine used to reduce the blood clot formation in server Covid-19 patients. Unfortunately, blood thinner medicines do not disassemble the blood clots. Moreover, they increase the risk of bleeding, serious, or even life threatening. In fact, many patients were not saved by these medicines. Therefore, a new, safe and reliable approach to disassemble blood clots for Covid-19 patients is urgently needed. Here I am presenting our magnetorheology (MR) technology [4] to treat Covid-19 patients with thrombosis: applying a strong magnetic field along the patients’ arm. When the blood clots come to the magnetic field with blood circulation, they will be disassembled. Red cells will be freed, the blood oxygenation function will be recovered, internal bleeding can be avoided, the blood viscosity along the flow direction will be reduced, turbulence will be suppressed, and cardiovascular accident can be prevented. Blood is a liquid suspension consisting mainly of red cells in plasma. The volume fraction of red cells is 40-50%. The amount of white blood cells and platelets in the blood is very small. Therefore, blood clots are actually aggerates of red cells (Fig.1). A typical human red cell is a biconcave disk (Fig.2a), with its diameter about 7.7 μm and the thickness decreasing from 2.5 µm at its edge to 0.8–1 µm at its center. The cytoplasm of the red cell contains hemoglobin, a metalloprotein containing heme groups that temporarily bind oxygen molecules taken up from the lungs and release them throughout the body. To allow efficient diffusion of oxygen, the full surface area of the red cells need to be available. When the blood form clots such as in Fig.1, surfaces of red cells are blocked and oxygen uptake and delivery is impeded. As the hemoglobin in red cells is an iron containing protein, deoxygenated red cells are paramagnetic. We are utilizing this property to disassemble blood clots (Fig.2). Red cells are polarized in a magnetic field. Because red cell is a disk, the strongest polarization is along the diameter direction. In a strong magnetic field, red cells will tilt to make their disk surface parallel to the field. Each red cell obtains an induced magnetic dipole moment. As shown in Fig.2b, when the red blood cells stack each other as in the clots, the interaction between neighboring red cells is strongly repulsive. This force is proportional to the square of magnetic field. If the applied magnetic field stronger than one Tesla, this repulsive force is strong enough to break the toughest blood clots, rouleaux [4,5]. As blood clots are mainly aggregates of red cells, once red cells are disassembled, platelets and other components are also released; internal bleeding risk is reduced. The magnetic field will further align the released red cells to form short chains along the diameter direction (Fig.2c). In such chains, the surface of red cells is fully exposed, excellent for their normal oxygen functions. Fig.2d shows a microscopic image of such short chain. Also shown in Fig.2d, we apply the magnetic field along the blood flow direction. The short chains is parallel to the blood flow. As the chains are streamlined in the flow direction, the blood viscosity along the flow direction is considerably reduced. Meanwhile, the short chains resist any motion in the directions perpendicular to the flow. The treated blood thus suppresses turbulence or disturbed motion as any disturbed flow cannot survive without motions in the directions perpendicular to the flow [4,6]. The blood circulation and red cell function will thus be greatly improved and cardiovascular accident can be prevented. Of course, after the magnetic field is turned off, these short chains will be eventually broken and the red cells will become wholly independent, flowing inside the plasma (Fig.2e). Our lab tests [4] have confirmed that this MR technology can effectively disassemble rouleaux [6]. As the newly formed blood clots in Covid19 patients should be weaker than rouleaux, we expect that this technology can safely and effectively disassemble them and help the patients to recover.

**References:**

1. Z. Varga, et al , www.thelancet.com Vol 395, pp 1417-1418, May 2, 2020. 2. https://www.webmd.com/lung/news/20200424/blood-clots-are-another-dangerous-covid-19-mystery 3. Y. Zuo et al, Science Translational Medicine, 12. eabd3876 (2020) 4, R. Tao, et al., Systems and method for reducing the viscosity of blood, suppressing turbulence n blood circulation, and curing rouleaux. PCT/US2017/059446 (https://patentscope.wipo.int/search/en/detail.jsf?docId=WO2018085330) 5. N. Abramson, BLOOD, V107, I 11, 4205-4205 (2006) 6. R. Tao, K. Huang, Physical Review E 84, 011905 (2011).

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/6b64306da497c2fe6f2556b8eeaa213b.jpg)
Fig.1 Blood clots found in coronavirus patients’ blood.

![](https://assets.underline.io/uploads/markdown_image/1/image/ac8be56cb6be363d3ac421eb3b6622ed.jpg)
Fig.2 (a) Red blood cell. (b) The strong magnetic field breaks the blood clot. (c) The released red cells form short chains along the diameter-magnetic field direction. (d) The microscopic image of a short red-cell chain. The magnetic field improves blood circulation. (e) After the magnetic field is off, the red cells will eventually become wholly independent within the plasma.

 Disassembling Blood Clots and Improving Blood Oxygenation With Magnetorheology For Covid-19 Patients

Smart materials can change key physical properties in response to external stimuli. To achieve adaptive design performance regardless of environmental changes, demand for smart materials technology has greatly increased. Magnetorheological (MR) composites are a class of smart materials that can rapidly and reversibly control adjust their damping and stiffness properties in response to external magnetic field. MR composites consist of micron-size soft magnetic particles in a non-magnetic carrier matrix. MR composites can be divided into three major classes based on matrix materials: MR fluids (MRFs), MR foams, and MR elastomers (MREs). The rheological properties of MRFs, which use liquid as the carrier matrix, can be controlled in response to an external magnetic field. MRFs have been widely applied to a variety of hydraulic actuators to produce a controllable damper force or torque. MR foams are composed of either non-magnetic porous metal foam filled with MRF or have particles embedded in a porous elastomeric foam. Because of their light weight and high compliance, MR foams exhibit large changes in baseline stiffness and are candidate smart materials for space applications, as well as vibration and acoustic absorption applications. MREs, which use a non-porous solid elastomer as the carrier matrix, have controllable viscoelastic properties. MREs can used to retrofit passive rubber isolators and mounts in vibration and shock mitigation systems to provide improved and adaptive performance. MRFs typically exhibit sedimentation because of the large density difference between carbonyl Fe particles (density of 7.9 g/ml) and the non-magnetic carrier fluid (e.g., silicone oil has a density of 0.97 g/ml). Unlike MRFs, the Fe particles in MR foams and MREs are permanently dispersed. Because particles are embedded in the carrier matrix, MR foams and MREs show less MR effect than MRFs where particles can migrate and agglomerate. To increase MR effects in MREs, research [1-4] to encapsulate MRFs in MREs has been reported. It should be noted that MR foams have porous carrier matrix and may be not possible to encapsulate MRF into MR foam. In this study, MRF encapsulated elastomers (MREEs) are fabricated and their controllable stress behaviors are experimentally evaluated. Two design configurations are studied for MREEs: the first is MRF and permanent magnet (PM) embedded inside MREEs, and the second is MRF only embedded in MREEs. MREEs with PM can be passively and actively activated, but MREEs without PM can be only activated by external magnetic field produced by an electromagnet. A sample MREE (Figure 1) encapsulates an MRF composed of 35 vol% carbonyl Fe dispersed in a 1,000 cSt silicone oil. The silicone rubber was as soft as 00-20. The diameter and height of this sample was nominally 2.6” and 0.37”, respectively. The compressive stress-strain curve of the MREEs both without and with applied magnetic field were measured by a MTS machine. Figure 2 presents the measured field-dependent compressive stress curves of the MREE. As seen in this figure, the compressive stress curves of the MREE can be continuously adjusted in response to current input. Also, the hysteresis loop also increased as the applied current inputs. This physically implies that the dissipated energy increased. In the full paper, the effect of two different magnetic flux directions (i.e., positive and negative coil currents) will be presented. The compressive stress curve of the MREEs can also be affected by the strain rate, as in impact events. To illustrate such strain rate effects, the compressive stress curves over a range of strain rates will be also presented. From the measured hysteresis loop, the dissipated energy can also determined. In addition, the MREEs can be stacked for accommodating larger compressive displacement. In this study, the effect of two different stackable situations (one is attractive PMs configuration and the other is repulsive PMs configuration) on the compressive stress curve will be evaluated. From the results presented in this study, the controllable stress capability of the MREEs will be presented for a range of operating conditions.

**References:**

[1] D. York, X. Wang, and F. Gordaninejad, “A new MR fluid-elastomer vibration isolator,” J. Intel. Mater. Syst. and Struct, 18: 1221-1225 (2007). [2] D. York, X. Wang, F. Gordnaniejad, “A new magnetorheological mount for vibration control,” J. Vibr Acoust., 133: 031003 (2011). [3] A. K. Bastola, L. Li and M. Paudel, |A hybrid magnetorheological elastomer developed by encapsulation of magnetorheological fluid,” Journal of Materials Science, Vol. 53, pp. 7004-7016 (2018). [4] A. K. Bastola, E. Ang, M. Paudel, L. Li, “Soft hybrid magnetorheological elastomer: gap bridging between MR fluid and MR elastomer,” Colloids and Surfaces A, Vol. 583, 123975 (2019).

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/c7b4531d44116ed3566e15610b99a51e.jpg)
Figure 1. MRF encapsulated elastomers (MREEs).

![](https://assets.underline.io/uploads/markdown_image/1/image/84dd4f6d08b64d7a6a8dcdde1ea3c75f.jpg)
Figure 2. Field-dependent compressive stress curves of the MREE.

 Controllable Stress of Magnetorheological Fluid Encapsulated Elastomers

Magnetorheological (MR) elastomers as composite materials of magnetizable particles in an elastomer matrix are the soft solid relatives of the better known MR fluids [1]. They preferably consist of silicone elastomer filled with dispersed iron particles [2]. MR elastomers exhibit interesting viscoelastic properties, which strongly depend on the elastomer stiffness and the particle concentration and are controllable by a magnetic field. With rising iron particle concentration, the basic stiffness in terms of the elastic storage modulus increases, as expected. In a strong magnetic field, the storage modulus can be enhanced by a factor of about 10 (see Figure 1). A corresponding increase is observed also for the viscous loss modulus (see Figure 1). These effects are particularly pronounced for MR elastomers with soft silicone matrices, which exhibit low molecular crosslinking densities. In common MR elastomers, the iron particles are randomly distributed in the surrounding matrix material due to the mixing of the particles with the liquid silicone precursors in the preparation process. However, it is also possible to prepare MR elastomers with anisotropic particle distribution [3]. In order to achieve this modification, a magnetic field is applied already in the preparation procedure before and during the chemical crosslinking of the silicone elastomer in a thermal process, where the particles are arranged to chains along the magnetic field, in analogy to MR fluids. The magneto-mechanical properties of anisotropic MR are significantly different from those of their isotropic counterparts. A strong increase of the storage modulus of the anisotropic composites is observed already with lower iron particles concentrations. In other investigations, the magnetic properties of MR elastomer cubes with isotropic and anisotropic particle arrangements were studied and compared. Similar to MR fluids, even with high concentrations of iron particles, the magnetic susceptibility of MR elastomers is extremely low in comparison with pure solid iron, which is due to the dispersed distribution of the iron particles in the composite. The measured susceptibility of the anisotropic MR elastomer with a magnetic field perpendicular to the iron particle chains is comparable to the corresponding values of the isotropic samples. However, it could be shown that the susceptibility parallel to the particle chains in the anisotropic MR elastomer is significantly higher due to the particle contacts in this direction. Numerous interesting applications become possible with MR elastomers. Generally known are applications in vibration reduction. Here, the focus is on tunable vibration absorbers due to the dominant elastic behavior of elastomers [4] in contrast to the more viscous characteristics of MR fluids. However, promising exploitation potential of MR elastomers arises also for actuation devices, where an MR elastomer body deforms in a magnetic field. A speciality of these MR elastomer-based actuators is the possibility to realize different types of actuation depending on the orientation of the magnetic field. A basic type of actuation is caused by the linear deformation of an MR elastomer body in a corresponding magnetic field. Due to magnetic attraction forces on the soft-magnetic iron particles by a specially shaped yoke part in the magnetic circuit, the MR elastomer body such as a disk is deformed into a preferred direction. This type of actuator can be used for human-machine interfaces, where haptic feedback is required, when the user touches the interface. Another interesting application of linear MR elastomer actuators are pumping units. In these units, the periodic linear deformation of the actuator sucks the medium to be transported through a non-return valve into a chamber and pushes it out through another non-return valve. Moreover, with MR elastomers also another type of actuators with radial motion may be realized. In a magnetic field with radial orientation between an inner yoke and an annular outer yoke, a ring-shaped body of MR elastomer between the two yokes leaving an annular gap to the inner yoke can expand radially and close the gap (see Figure 2). This unusual kind of radial actuation offers a high potential for various applications. Especially interesting are valves with a ring-shaped opening, where the degree of closing is controlled by the magnetic field strength, i.e. the current in the coil of the electromagnet, and the corresponding radial deformation of the MR elastomer ring. With this mechanism, proportional valves can be realized. Another possible application of radial MR elastomer actuators are locking devices. Here, MR elastomer rings bridge the annular gaps between an inner rotatable shaft and an outer housing, Thereby blocking the rotation, when the magnetic field is activated. It could be demonstrated that locking torques of about 5 Nm can be achieved in a device with two MR elastomer rings. The locking effect is stronger than with an MR fluid in a device with a corresponding geometrical configuration. In this symposium contribution, material properties of MR elastomers and various actuator designs for different applications are discussed.

**References:**

[1] J. D. Carlson and M. R. Jolly, MR fluid, foam and elastomer devices. Mechatronics 10, 555-569 (2000) [2] W. H. Li and M. Nakano, Fabrication and characterization of PDMS based magnetorheological elastomers, Smart Materials and Structures 22, 055035 (2013) [3] H. Böse and R. Röder, Magnetorheological Elastomers with high variability of their mechanical properties, J. Phys.: Conf. Ser. 149, 012090 (2009) [4] X. Z. Zhang and W. H. Li, Adaptive Tuned Dynamic Vibration Absorbers Working with MR Elastomers, Smart Structures & Systems 5, 517-529 (2009)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/6744c1ad7d09ab43fe3a6705230d8b92.jpg)
Figure 1: Dependence of the storage modulus (left) and the loss modulus (right) of MRE composites with different carbonyl iron particle (CIP) concentrations on the magnetic flux density

![](https://assets.underline.io/uploads/markdown_image/1/image/9279471e448a328b9b3c131a71d3e93a.jpg)
Figure 2: MRE actuator with radial expansion for proportional valve applications in the inactivated state (annular gap open, left) and activated state (annular gap closed, right)

 Magnetorheological Elastomers – Material Properties and Actuation Capabilities

The work presents the fabrication and characterisation of a new liquid metal filled magnetorheological elastomer (LMMRE) comprising liquid metal microdroplets and metallic magnetic microparticles1. The conductive network formed by liquid metal droplets and solid metal microparticles in the matrix imparts conductivity to LMMRE (Fig. 1). Both isotropic and anisotropic LMMREs were fabricated either without or with an external magnetic field. For the case of isotropic LMMRE, compared to conventional composites, this LMMRE uniquely reaches a maximum resistance in the relaxed state and can drop sharply under any mechanical deformation, including compression, stretching, bending, and twisting. This indicates that the LMMRE can exhibit an unconventional negative piezoresistive effec. The mechanical and thermal properties of LMMRE were further studied. Several proof-of-concept applications based on LMMRE such as wearable joint sensors and intelligent heating devices were also demonstrated. For example, the LMMRE can be used to detect the movement of human joints. A LMMRE strip was attached to the index finger, then the finger bent repeatedly with the maximum bending angles of 45° and 90°, respectively. The resistance change-time curve reflects the accurate response of the LMMRE sensor to different angles and its stability under cyclic loading (Fig. 2). Therefore, this LMMRE has the potential to be applied for developing highly sensitive flexible sensors for wearable devices. After that, we created and studied an anisotropic LMMRE using the magnetic field alignment method. We show that magnetically aligning the particles prior to curing the LMMRE produces different results. Namely, the conductivity of the anisotropic LMMRE—in the absence of deformation—improves significantly by several orders of magnitude in all directions compared to the isotropic LMMRE with the same composition. In addition, the resistivity changes of the anisotropic LMMRE under mechanical deformation and its anisotropic piezoresistive properties are also significantly different from isotropic LMMRE. Along the particle alignment direction, the resistivity of anisotropic LMMRE increases sharply with strain. In contrast, in the direction perpendicular to the particle chains, its resistivity decreases monotonically with strain. Besides, the anisotropic LMMRE is also more sensitive to mechanical deformation along the particle alignment direction. Furthermore, we discovered that the mechanical, magnetic and thermal properties of the anisotropic LMMRE also exhibit significant anisotropy. Harnessing these unique properties, we demonstrated several applications based on anisotropic LMMRE such as soft tactile logic devices and an improved intelligent heating device.

**References:**

1. G. Yun, S.Y. Tang, S. Sun, D. Yuan, Q. Zhao, L. Deng, S. Yan, H. Du, M.D. Dickey and W. Li, Nature Communications, Vol. 10, p.1300 (2019)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/c920a6082af6d7e2d2bc3e1355244050.jpg)

![](https://assets.underline.io/uploads/markdown_image/1/image/302bb7031997fbedf454e3f6f4b4f302.jpg)

 Study of Liquid Metal Filled Magnetorheological Elastomers

Magnetorheological elastomer (MRE) is a magnetic particle reinforced elastomer composite, which its mechanical properties can be controlled with the application of a magnetic field.1 The magnetorheological effect induces changes in stiffness and damping properties in the composite with the response of the magnetic particles to the external magnetic field.2 Smart sensor and actuator components can be fabricated for adaptive vibration control systems where mechanical properties can be controlled by the application of magnetic field. Typically, composites are prepared by mixing magnetic particles with the uncured rubber matrix and then the mixture is poured into a mold for curing. Recently low-cost 3D printers are widely available, utilizing various polymers. Manufacturability of MRE composites using additive manufacturing (AM) process has gained great attention so the geometrical design of the MRE composite fabrication can be achieved.3 In this research, development of filament of MRE for fused filament fabrication based on additive manufacturing is performed. The magnetorheological effect depends on the particle’s magnetic properties and volume fraction, and distribution, etc. Filament materials are developed by mixing thermoplastic polyurethane (TPU) pellets with the magnetic particles (iron oxide, carbonyl Fe particles), followed by extrusion process to produce rolls of filament. Due to the nature of the mixing process relying on gravity to feed material into the extruder, denser and much smaller magnetic particles (~10 μm) than the TPU pellets (~mm) tend to fall to the bottom of the hopper, leading non-uniform distribution of magnetic particle along the filament thru extrusion process. Therefore, the trickling systems with a screw feeder were developed to provide consistent trickling rate of each TPU and magnetic particles respectability. [Figure 1 (a)] The trickling rate of TPU was fixed at ~4.9 g/min and the trickling rate of iron oxide was varied from 0.0 to 2.5 g/min. Five sets of filaments were produced with different trickling rates of iron oxide.[Figure 1(b)]. Diameter ranges from 1.45 ± 0.01 to 1.55 ± 0.06 mm. The density of filament increases with the higher trickling rate of magnetic powder and the densities change from 1.33 ± 0.05 to 1.46 ± 0.05 g/cc, indicating that the volume fraction control of magnetic particles in the extrusion process was successful. The grayscale level plot [Figure 1 (c)] indicates the iron oxide concentration in each filament in the yellow box region. The grayscale plot profiles the images with each point represents the average pixel intensity. This data shows that the filaments produced with lower trickling rate (0.6 and 1.0 g/min) did not show significant difference but the lower gray scale values of filaments with 1.5 and 2.5 g/min indicate that there are more iron oxide particles. Micro-focus X-ray tomography scans were performed on the produced composite filament (Figure 2). The results show that magnetic particles are well dispersed in the matrix. The small grains are &lt; ~30 mm and the larger grains are ~60 mm. The iron oxide volume fraction ranges from 9.31% to 12.95%. This demonstrates that MRE filament feedstock materials can be successfully manufactured for use in fused filament deposition processes.

**References:**

1. S. S. Kang, K. Choi, and J. D. Nam, Materials., Vol.13, p.4597 (2020) 2. O. Padalka, H. J. Song, N. M. Wereley, J. A. Filer, IEEE Transactions on Magnetics, Vol. 46, p.2275 (2010) 3. A. K. Bastola, M. Paudel, L. Li, Smart Materials and Structures, Vol. 29, p.123002 (2020)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/b3aba021d44c39dfd0f2da3a1c22aa82.jpg)
Figure 1 (a) Schematic drawing and image of developed trickling system. (b) coils of TPU filaments produced with different amount of iron oxide. (c) image of extruded filaments and plot profile of the yellow box.

![](https://assets.underline.io/uploads/markdown_image/1/image/f2f413611412f4c079a9eb2b2e621762.jpg)
Figure 2 X-ray tomography scan performed on the produced composite filament. Iron oxide particles are highlighted with color coding by volume. The TPU matrix is colored in light gray to easily visualize the pores and iron oxide dispersions.

 Magnetic Particle Reinforced Elastomer Composites for Additive Manufacturing

Antiferromagnetism, discovered by Louis Néel, is a very interesting and complex physical phenomenon which has led to much new physics and important applications. Many antiferromagnetic materials were found since its discovery. Recent development of novel bulk and thin film synthesis techniques and materials genomic computational methods have accelerated and broadened considerably the plethora of antiferromagnetic materials. Antiferromagnets become particularly interesting when incorporated into inhomogeneous hetero- and/or nano-structures. This has led to interesting phenomena such as Exchange Bias and important recent applications in the field of Spintronics. I will describe the main features of antiferromagnetism, the interesting physical phenomena, unique devices and the principal open research issues. The research at UCSD was supported by the Office of Basic Energy Science, U.S. Department of Energy, BES-DMS funded by the Department of Energy’s Office of Basic Energy Science, DMR under grant DE FG02 87ER-45332.

**References:**



**Images:**

Antiferromagnetism: Celebrating 50 years since the Nobel Prize

Being able to observe atomic-scale spin structures and to probe magnetic properties atom-by-atom is decisive for the discovery of new magnetic phenomena, the optimization of magnetic materials as well as the development of nano- or even atomic-scale spintronic devices. Spin-Polarized Scanning Tunneling Microscopy (SP-STM) [1] being based on the observation of vacuum tunneling of spin-polarized electrons between a highly spin-polarized and atomically sharp probe tip and a sample under investigation [2] allows for atomic-scale studies of magnetic order of ferro- [3], antiferro- [4] and ferrimagnetic [5] materials, including the internal structure of magnetic domain walls down to the atomic level [6,7]. By combining SP-STM with energy-resolved tunneling spectroscopy, the powerful method of Spin-Polarized Scanning Tunneling Spectroscopy (SP-STS) evolved providing access to spin-resolved electronic states of ferro- [8] and antiferromagnetic [9] or even molecular [10,11] materials with atomic-scale spatial resolution. Magnetic field-dependent SP-STM studies led to the development of nano-scale [12] or even single-atom magnetometry [13] allowing the probing of single-atom magnetization in metallic [14] or diluted magnetic semiconductor systems [15]. A very important issue for SP-STM studies is the appropriate choice of a highly spin-polarized and atomically sharp probe tip with a minimum magnetic stray field in order to avoid disturbances of the magnetic state of atomic-scale systems. Half-metallic ferromagnetic CrO2 thin film probe tips were used in the very early studies in order to achieve an almost 100% spin polarization [2]. However, these tips exhibit a non-negligible stray field, so that they were only useful in applications to antiferromagnetic materials. On the other hand, magnetic stray fields can be avoided by making use of antiferromagnetic probe tips, e.g. Cr thin film [16] or bulk [17] tips, which have proven to be very useful for imaging magnetic domain walls [16] or magnetic vortex states [18] in ferromagnetic nanostructures. However, Cr tips usually offer a spin polarization of around 20% only, thereby the spin contrast is not as high as it could be. Recently, we were able to prepare atomically sharp SP-STM tips offering both, a very high spin polarization and a negligible magnetic stray field: By picking up a single magnetic atom from a sample surface with a superconducting STM tip, we created a magnetic bound state within the superconducting energy gap, a so-called Yu-Shiba-Rusinov state, being 100% spin-polarized [19], and subsequently made use of that state to probe the magnetic structure of artificially created spin chains made up of manganese atoms on a niobium substrate [20]. Thanks to the capability of SP-STM to combine real-space atomic resolution with spin sensitivity, numerous discoveries could be made in magnetic thin films and nanostructures, such as the first experimental observations of chiral domain walls [21-23], spin spirals [24] and skyrmionic lattice states [25,26] due to interfacial Dzyaloshinskii-Moriya (DM) interactions. Moreover, SP-STM allowed the first observation of the internal spin structure of individual chiral magnetic skyrmions [27, 28] as well as their local manipulation, i.e. creation and annihilation, by local (vertical) spin current injection [27] and local electrical fields [29] which is an important prerequisite for any application of magnetic skyrmions in magnetic data storage or logic devices [30]. It has been realized in recent years that complex magnetic states in thin film systems can arise from the competition of various magnetic interactions, including isotropic and anisotropic as well as higher-order exchange interactions. It is extremely important to probe the nature of these interactions down to the atomic scale in order to be able to design novel types of magnetic materials and devices based on that knowledge. SP-STM has allowed probing the distance and directional dependencies of RKKY interactions directly in real space at the atomic level [31], yielding important information about the distance regimes for which maximum ferro- or antiferromagnetic coupling between individual magnetic atoms is achieved. Based on this kind of insight, artificial magnets [14] and even prototype atomic-scale spin logic devices [32] could be fabricated. Moreover, the stabilization of spin systems via symmetrically tailored RKKY interactions [33] could be demonstrated recently. Similarly, SP-STM has recently been applied to study the distance dependence of interfacial DM interactions [34] which subsequently allowed tailoring non-collinear chiral spin structures at the atomic level [35]. Chiral spin chains are of considerable interest for realizing information transfer by vector spin chirality in finite magnetic chains [36]. Moreover, when combined with superconducting substrates, atomic-scale model systems for topological superconductivity and Majorana bound states can be realized [37, 38] offering great potential for topological quantum computation. Finally, time-resolved SP-STM measurements have provided novel insight into the dynamics of nano-scale classical [39] or even quantum magnetic systems [40]. Local spin-current injection from a highly spin-polarized tip into nano-scale magnetic systems [41] has proven to be a very valuable method to induce and manipulate the spin dynamics of small clusters or even single magnetic atoms on surfaces [40]. Studying the influence of the dynamical states of chiral spin chains on superconducting substrates on the dynamics of Majorana states is one of the exciting directions of ongoing research activities.

**References:**

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Pietzsch, A. Kubetzka, and R. Wiesendanger, Phys. Rev. Lett. 87, 127201 (2001): "Atomic-scale magnetic domain walls in quasi-one-dimensional Fe nanostripes". [7] M. Bode, E. Y. Vedmedenko, K. von Bergmann, A. Kubetzka, P. Ferriani, S. Heinze, and R. Wiesendanger, Nature Materials 5, 477 (2006): "Atomic spin structure of antiferromagnetic domain walls". [8] M. Bode, M. Getzlaff, and R. Wiesendanger, Phys. Rev. Lett. 81, 4256 (1998): "Spin-Polarized Vacuum Tunneling into the Exchange-split Surface State of Gd(0001)". [9] M. Kleiber, M. Bode, R. Ravlić, and R. Wiesendanger, Phys. Rev. Lett. 85, 4606 (2000): "Topology-induced spin frustrations at the Cr(001) surface studied by spin-polarized scanning tunneling spectroscopy". [10] J. Brede, N. Atodiresei, S. Kuck, P. Lazic, V. Caciuc, Y. Morikawa, G. Hoffmann, S. Blügel, and R. Wiesendanger, Phys. Rev. Lett. 105, 047204 (2010): "Spin- and energy-dependent tunneling through a single molecule with intramolecular spatial resolution". [11] J. Schwöbel, Y. Fu, J. Brede, A. Dilullo, G. Hoffmann, S. Klyatskaya, M. Ruben, and R. Wiesendanger, Nature Communications 3, 953 (2012): "Real-space observation of spin-split molecular orbitals of adsorbed single-molecule magnets". [12] O. Pietzsch, A. Kubetzka, M. Bode, and R. Wiesendanger, Science 292, 2053 (2001): "Observation of magnetic hysteresis at the nanometer scale by spin-polarized scanning tunneling spectroscopy". [13] F. Meier, L. Zhou, J. Wiebe, and R. Wiesendanger, Science 320, 82 (2008): "Revealing magnetic interactions from single-atom magnetization curves”. [14] A. A. Khajetoorians, J. Wiebe, B. Chilian, S. Lounis, S. Blügel, and R. Wiesendanger, Nature Physics 8, 497 (2012): "Atom-by-atom engineering and magnetometry of tailored nanomagnets". [15] A. A. Khajetoorians, B. Chilian, J. Wiebe, S. Schuwalow, F. Lechermann, and R. Wiesendanger, Nature 467, 1084 (2010): "Detecting excitation and magnetization of individual dopants in a semiconductor". [16] A. Kubetzka, M. Bode, O. Pietzsch, and R. Wiesendanger, Phys. Rev. Lett. 88, 057201 (2002): "Spin-Polarized Scanning Tunneling Microscopy with Antiferromagnetic Probe Tips". [17] A. Schlenhoff, S. Krause, G. Herzog, and R. Wiesendanger, Appl. Phys. Lett. 97, 083104 (2010): "Bulk Cr tips with full spatial magnetic sensitivity for spin-polarized scanning tunneling microscopy". [18] A. Wachowiak, J. Wiebe, M. Bode, O. Pietzsch, M. Morgenstern, and R. Wiesendanger, Science 298, 577 (2002): "Direct Observation of Internal Spin-Structure of Magnetic Vortex Cores". [19] L. Cornils, A. Kamlapure, L. Zhou, S. Pradhan, A. A. Khajetoorians, J. Fransson, J. Wiebe, and R. Wiesendanger, Phys. Rev. Lett. 119, 197002 (2017): "Spin-polarization of the Yu-Shiba-Rusinov state of an individual atom". [20] L. Schneider, Ph. Beck, J. Wiebe, and R. Wiesendanger, Science Advances 7, eabd7302 (2021): "Atomic-scale spin-polarization maps using functionalized superconducting probes". [21] A. Kubetzka, O. Pietzsch, M. Bode, and R. Wiesendanger, Phys. Rev. B 67, 020401 (2003): "Spin-polarized scanning tunneling microscopy study of 360° walls in an external magnetic field". [22] E. Y. Vedmedenko, L. Udvardi, P. Weinberger, and R. Wiesendanger, Phys. Rev. B 75, 104431 (2007): "Chiral magnetic ordering in two-dimensional ferromagnets with competing Dzyaloshinsky-Moriya interactions". [23] S. Meckler, N. Mikuszeit, A. Pressler, E. Vedmedenko, O. Pietzsch, and R. Wiesendanger, Phys. Rev. Lett. 103, 157201 (2009): "Real-space observation of a right-handed inhomogeneous cycloidal spin spiral by spin-polarized scanning tunneling microscopy in a triple axes vector magnet". [24] M. Bode, M. Heide, K. von Bergmann, P. Ferriani, S. Heinze, G. Bihlmayer, A. Kubetzka, O. Pietzsch, S. Blügel, and R. Wiesendanger, Nature 447, 190 (2007): "Chiral magnetic order at surfaces driven by inversion asymmetry". [25] K. von Bergmann, S. Heinze, M. Bode, E. Y. Vedmedenko, G. Bihlmayer, S. Blügel, and R. Wiesendanger, Phys. Rev. Lett. 96, 167203 (2006): "Observation of a complex nano-scale magnetic structure in a hexagonal Fe monolayer". [26] S. Heinze, K. von Bergmann, M. Menzel, J. Brede, A. Kubetzka, R. Wiesendanger, G. Bihlmayer, and S. Blügel, Nature Physics 7, 713 (2011): "Spontaneous atomic-scale magnetic skyrmion lattice in two dimensions". [27] N. Romming, Ch. Hanneken, M. Menzel, J. E. Bickel, B. Wolter, K. von Bergmann, A. Kubetzka, and R. Wiesendanger, Science 341, 636 (2013): "Writing and deleting single magnetic skyrmions". [28] N. Romming, A. Kubetzka, Ch. Hanneken, K. von Bergmann, and R. Wiesendanger, Phys. Rev. Lett. 114, 177203 (2015): "Field-dependent size and shape of single magnetic skyrmions". [29] P.-J. Hsu, A. Kubetzka, A. Finco, N. Romming, K. von Bergmann, and R. Wiesendanger, Nature Nanotechnology 12, 123 (2017): "Electric-field-driven switching of individual magnetic skyrmions". [30] R. Wiesendanger, Nature Reviews Materials 1, 16044 (2016): "Nanoscale magnetic skyrmions in metallic films and multilayers: a new twist for spintronics". [31] L. Zhou, J. Wiebe, S. Lounis, E. Vedmedenko, F. Meier, S. Blügel, P. H. Dederichs, and R. Wiesendanger, Nature Physics 6, 187 (2010): "Strength and directionality of surface RKKY-interaction mapped on the atomic scale". [32] A. A. Khajetoorians, J. Wiebe, B. Chilian, and R. Wiesendanger, Science 332, 1062 (2011): "Realizing all-spin based logic operations atom by atom". [33] J. Hermenau, S. Brinker, M. Marciani, M. Steinbrecher, M. dos Santos Dias, R. Wiesendanger, S. Lounis, and J. Wiebe, Nature Commun. 10, 2565 (2019): "Stabilizing spin systems via symmetrically tailored RKKY interactions". [34] A. A. Khajetoorians, M. Steinbrecher, M. Ternes, M. Bouhassoune, S. Lounis, M. dos Santos Dias, J. Wiebe, and R. Wiesendanger, Nature Commun. 7, 10620 (2016): "Tailoring the chiral magnetic interaction between two individual atoms". [35] M. Steinbrecher, R. Rausch, K. T. Ton, J. Hermenau, A. A. Khajetoorians, M. Potthoff, R. Wiesendanger, and J. Wiebe, Nature Commun. 9, 2853 (2018): "Non-collinear spin states in bottom-up fabricated atomic chains". [36] M. Menzel, Y. Mokrousov, R. Wieser, J. E. Bickel, E. Vedmedenko, S. Blügel, S. Heinze, K. von Bergmann, A. Kubetzka, and R. Wiesendanger, Phys. Rev. Lett. 108, 197204 (2012): "Information transfer by vector spin chirality in finite magnetic chains". [37] H. Kim, A. Palacio-Morales, T. Posske, L. Rózsa, K. Palotas, L. Szunyogh, M. Thorwart, and R. Wiesendanger, Science Advances 4, eaar5251 (2018): "Towards tailoring Majorana bound states in artificially constructed magnetic atom chains on elemental superconductors". [38] L. Schneider, S. Brinker, M. Steinbrecher, J. Hermenau, T. Posske, M. dos Santos Dias, S. Lounis, R. Wiesendanger, and J. Wiebe, Nature Commun. 11 4707 (2020): "Controlling in-gap end states by linking nonmagnetic atoms and artificially-constructed spin chains on superconductors". [39] M. Bode, O. Pietzsch, A. Kubetzka, and R. Wiesendanger, Phys. Rev. Lett. 92, 067201 (2004): "Shape dependent Thermal Switching Behavior of Superparamagnetic Nanoislands". [40] A. A. Khajetoorians, B. Baxevanis, Ch. Hübner, T. Schlenk, S. Krause, T. Wehling, S. Lounis, A. Lichtenstein, D. Pfannkuche, J. Wiebe, and R. Wiesendanger, Science 339, 55 (2013): "Current-driven spin dynamics of artificially constructed quantum magnets". [41] S. Krause, L. Berbil-Bautista, G. Herzog, M. Bode, and R. Wiesendanger, Science 317, 1537 (2007): "Current-induced magnetization switching with a Spin-Polarized Scanning Tunneling Microscope".

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