United States

The development of functional printable materials enables the production of electronic components in unconventional materials and different form factors[1]. Here, we
show magnetically sensitive inks/pastes based on magnetoresistive powder that can be printed via stencil, dispenser, or screen printing. We employ bismuth microparticles[2] as well as
[Co/Cu], [Py/Cu],[3] and permalloy [4] flakes showing giant, anisotropic, or non-saturating large magnetoresistance, respectively.
We demonstrate that magnetic field sensors based on various types of magnetoresistive flakes can be printed onto rigid, flexible, and deformable substrates. We employed blockcopolymers
and elastic binders to enable mechanical resilience of these sensors: they can withstand bending down to 16 μm, 100% of stretching, and bending for hundreds of cycles
without losing functionality.[3]
Additionally, by automatizing the dispenser printing process of bismuth-based pastes, we demonstrate the production of fully printed magnetic field sensors. The use of a micro-optically
optimized high-power diode laser array provided a versatile approach for selective sintering of sensors over flexible foils in areas exceeding several square centimeters. In this work we
experimentally confirm that such sensors retain their non-saturating magnetoresistive performance (MR = 146%) in high field conditions, allowing operation above 5 T. [2]
Our printed magnetic field sensors can be used to create interfaces that are responsive to magnetic fields through remote human input. Being flexible, they can be laminated on the skin, or
stuck onto any object, from a desk to a house wall. We demonstrate the capabilities of printed magnetic field sensors to work as an interface to navigate through digital maps, as input
panels for smart home applications, and as interactive wallpapers.&lt;br&gt;

**References:**&lt;br&gt;

[1] A. Kamyshny, S. Magdassi. Chem. Soc. Rev. Vol. 48, p.1712 (2019)&lt;br&gt;
[2] E.S. Oliveros-Mata, G.S. Cañón Bermúdez, M. Ha, et al. Appl. Phys. A Vol. 127, p.280 (2021)&lt;br&gt;
[3] M. Ha, G.S. Cañón Bermúdez, T. Kosub, et al. Adv. Mater. Vol. 33, p.2005521 (2021)&lt;br&gt;
[4] E.S. Oliveros-Mata, C. Voigt, G.S. Cañón Bermúdez, et al. Adv. Mater. Technol. p.2200227 (2022)&lt;br&gt;



MMM 2022

Detecting Magnetic Fields with Printed Magnetoresistive Sensors on Rigid and Flexible Substrates

The development of functional printable materials enables the production of electronic components in unconventional materials and different form factors[1]. Here, we
show magnetically sensitive inks/pastes based on magnetoresistive powder that can be printed via stencil, dispenser, or screen printing. We employ bismuth microparticles[2] as well as
[Co/Cu], [Py/Cu],[3] and permalloy [4] flakes showing giant, anisotropic, or non-saturating large magnetoresistance, respectively.
We demonstrate that magnetic field sensors based on various types of magnetoresistive flakes can be printed onto rigid, flexible, and deformable substrates. We employed blockcopolymers
and elastic binders to enable mechanical resilience of these sensors: they can withstand bending down to 16 μm, 100% of stretching, and bending for hundreds of cycles
without losing functionality.[3]
Additionally, by automatizing the dispenser printing process of bismuth-based pastes, we demonstrate the production of fully printed magnetic field sensors. The use of a micro-optically
optimized high-power diode laser array provided a versatile approach for selective sintering of sensors over flexible foils in areas exceeding several square centimeters. In this work we
experimentally confirm that such sensors retain their non-saturating magnetoresistive performance (MR = 146%) in high field conditions, allowing operation above 5 T. [2]
Our printed magnetic field sensors can be used to create interfaces that are responsive to magnetic fields through remote human input. Being flexible, they can be laminated on the skin, or
stuck onto any object, from a desk to a house wall. We demonstrate the capabilities of printed magnetic field sensors to work as an interface to navigate through digital maps, as input
panels for smart home applications, and as interactive wallpapers. 

**References:** 

[1] A. Kamyshny, S. Magdassi. Chem. Soc. Rev. Vol. 48, p.1712 (2019) 
[2] E.S. Oliveros-Mata, G.S. Cañón Bermúdez, M. Ha, et al. Appl. Phys. A Vol. 127, p.280 (2021) 
[3] M. Ha, G.S. Cañón Bermúdez, T. Kosub, et al. Adv. Mater. Vol. 33, p.2005521 (2021) 
[4] E.S. Oliveros-Mata, C. Voigt, G.S. Cañón Bermúdez, et al. Adv. Mater. Technol. p.2200227 (2022)

technical paper

#### Welcome to the 67th Annual Conference on Magnetism and Magnetic Materials, MMM 2022!

The Conference was held from October 31 to November 4 and offers both in-person and on-demand content.

MMM 2022 is sponsored jointly by AIP Publishing and the IEEE Magnetics Society. Members of the international scientific and engineering communities interested in recent developments in fundamental and applied magnetism are invited to attend and contribute to the technical sessions. The technical program will include invited and contributed papers in oral and poster sessions, invited symposia, a tutorial, and several special sessions. This Conference provides an outstanding opportunity for worldwide participants to meet their colleagues and collaborators and discuss developments in all areas of magnetism research.

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Please register for the MMM 2022 conference to join the event.

This Conference provides an outstanding opportunity for worldwide participants to meet their colleagues and collaborators and discuss developments in all areas of magnetism research.

Pt has been considered as a system close to ferromagnetic state because Pt has a large density of states near the Fermi energy. Magnetic moment in Pt ultrathin film was reported to be induced by a magnetic proximity effect through a spinel ferrimagnet CoFe2O4(CFO) at room temperature, and a saturation value of the anomalous Hall effect (AHE), which is proportional to magnetic moment, was tuned by an electric field effect (1). In this report, we induced a ferromagnetic hysteresis in ultrathin Pt (5.9 nm) by electric field-effect at low temperature. Both the remanence and the coercive field were tuned from zero to a finite value.
A ferrimagnetic insulator CFO thin film (~ 50 nm) with TC above 300 K were prepared on a SrTiO3(STO) substrate by a pulse laser deposition. With a hall-bar shaped photoresist mask a 5.9 nm Pt film was fabricated by sputtering (Pt/CFO sample). Another Pt (5.9 nm) film was also prepared on a STO substrate as a sample for comparison (Pt/STO sample). Electric double layer transistors (EDLT) were fabricated on these samples using an ionic liquid electrolyte (DEME-TFSI) and a Pt gate electrode.
Figures show a magnetic field dependence of an anomalous Hall resistivity ρAH at 2 K for the Pt/CFO (Fig. 1) and Pt/STO (Fig. 2) samples, respectively. An ordinary Hall coefficient RH was estimated at 250 K for samples before the fabrication of the EDLT, and ρAH was estimated by ρAH = ρxy-RHB. For a gate bias (VG) of 0 V, both samples showed no hysteresis loop, while AHE was observed. By applying VG = -3 V and +3 V, the Pt/CFO sample showed clear hysteresis loop, indicating ferromagnetism induced by the VG . On the other hand, no such behavior was observed in Pt/STO. These results suggest that the ferromagnetism of Pt is induced both by the MPE from the adjacent CFO layer and tuning of Fermi level by gating. The remanence for VG = +3 V decreased with increasing temperature, and disappeared at around 19.5 K, probably corresponding to the TC of Pt. In the presentation, we will discuss the origin of the AHE. 

**References:** 
(1) S. Nodo, S. Ono, and Y. Toshihiro, Appl. Phys. Exp., Vol. 13, p.063004 (2020) 

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Ferromagnetic hysteresis loop induced by electric field effect on Pt/CoFe2O4

In the present work, the microstructure of a zero-field-annealed off-stoichiometric Ni50Mn45In5 Heusler alloy is investigated by magnetic small-angle neutron scattering (SANS) (1). Thanks to its unique mesoscopic length scale sensitivity, magnetic SANS appears to be a powerful technique to disclose the structural and magnetic microstructure of magnetic materials (2) such as nanocrystalline materials (3,4). The neutron data analysis reveals a significant spin-misalignment scattering, which is mainly related to the formation of annealing-induced ferromagnetic nanoprecipitates in an antiferromagnetic matrix. These particles represent a source of perturbation, which, due to dipolar stray fields, give rise to canted spin moments in the surroundings of the particle-matrix interface. The presence of anticorrelations in the computed magnetic correlation function reflects the spatial perturbation of the magnetization vector around the nanoprecipitates. The magnetic field dependence of the zero-crossing and the minima of the magnetic correlation function are qualitatively explained using the law of approach to ferromagnetic saturation for inhomogeneous spin states. More specifically, at remanence, the nanoprecipitates act magnetically as one superdefect with a correlation length that lies outside of the experimental q-range, whereas near saturation the magnetization distribution follows each individual nanoprecipitate. Analysis of the neutron data yields an estimated size of 30 nm for the spin-canted region and a value of about 75 nm for the magnetic core of the individual nanoprecipitates. The presented neutron data analysis (in Fourier and real-space) is particularly useful to study the nanoscale magnetic inhomogeneities of bulk materials at the mesoscopic length scale. Finally, it demonstrates that unpolarized magnetic SANS might be a practicable alternative to time-consuming and low intensity polarized neutron measurements. 

This research was partly funded by the National Research Fund of Luxembourg (PRIDE MASSENA Grant No. 10935404 and CORE SANS4NCC Grant). 

**References:** 
(1) M. Bersweiler, P. Bender, I. Peral, E. Pratami Sinaga, D. Honecker, D. Alba Venero, I. Titov, and A. Michels, J. Appl. Cryst. 55, in press (2022) 
(2) A. Michels, Magnetic Small-Angle Neutron Scattering: A Probe for Mesoscale Magnetism Analysis (Oxford University Press, Oxford, 2021). 
(3) M. Bersweiler, E. P. Sinaga, I. Peral, N. Adachi, P. Bender, N. J. Steinke, E. P. Gilbert, Y. Todaka, A. Michels, and Y. Oba, Phys. Rev. Mat. 5, 044409 (2021). 
(4) M. Bersweiler, M. P. Adams, I. Peral, J. Kohlbrecher, K. Suzuki, and A. Michels, IUCrJ 9, 65 (2022).

Magnetic nanoprecipitates and interfacial spin disorder in zero field

Physically unclonable function (PUF), harnessing inherent stochastic variation of physical properties originating from the manufacturing process, is a crucial part of hardware security primitives [1]. PUF offers more robust information security than the conventional software-based ones. To date, owing to the compatibility to complementary-metal-oxide-semiconductor (CMOS) technology, silicon-based PUFs have been widely investigated [2]. However, their reliability with environmental fluctuations and susceptibility to external machine learning attacks are yet to be ascertained. Recently, graphene- or memristor-based PUFs were proposed and found out to be effective in resolving such issues [3,4]. However, their analog output inevitably involves additional circuit modules or analogue-to-digital converter, requiring significant power consumption and area overhead.
Here, we demonstrate highly reliable spintronic PUFs based on field-free spin-orbit torque (SOT) switching in an IrMn/CoFeB/Ta/CoFeB structure. We show that the switching polarity of the perpendicular magnetization of the top CoFeB can be randomly distributed by manipulating the exchange bias directions of the bottom IrMn/CoFeB. Figure 1 shows stochastic field-free SOT switching polarity after the randomization process of the bottom exchange-biased layers. Ideal PUF properties are found in the spintronic PUFs: high entropy close to unity, uniqueness with an inter-Hamming distance of 0.5 and reconfigurability. Furthermore, the spintronic PUFs generate binary digital outputs, potentially eliminating the need for analog-to-digital converters and error correction codes. We observed a zero bit-error rate in 5×104 repetitive measurements which demonstrates the high reliability. Due to the exchange-biased bottom layers, robustness against external magnetic fields are secured. These, when integrated with magnetic random-access memory in particular, are expected to promote scalable and energy-efficient hardware information security 
**References** [1] Y. Gao, S. F. Al-Sarawi, D. Abbott, Nat. Electron., 3, 81 (2020)
[2] J. L. Zhang, G. Qu, Y. Q. Lv, Q. Zhou, J. Comput. Sci. Technol., 29, 664 (2014)
[3] A. Dodda, S. Subbulakshmi Radhakrishnan, S. Das, Nat. Electron., 4, 364 (2021)
[4] R. A. John, N. Shah, N. Mathews, Nat. Commun., 12, 3681 (2021) 

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Spintronic Physical Unclonable Functions in an Exchange biased Trilayer Structure

There is a growing interest in materials exhibiting large spin-orbit torques (SOT) to achieve significant improvements in magnetoresistive random access memory (MRAM) technology [1]. It is well-recognized that materials with SOT ratios much greater than unity are needed to bring energy efficiency in SOT MRAM; however, only a handful of such materials have been identified using conventional theoretical and experimental methodologies. Thus, understanding the physics and materials for large SOT is a topic of ongoing research [1-2].

In this talk, I will discuss a new approach using machine intelligence to quantitatively predict new materials with large SOT ratios. I'll show that a machine can learn special concepts in materials sciences, physics, and engineering by reading the literature. Such a "well-trained" machine can identify patterns hidden within a large body of literature and quantitatively relate materials to the phenomenon of "spin-orbit torque."

We use a word embedding model [3] to train a neural network with a collection of unlabeled abstract text from various scientific journals relevant to our work. The word embedding model represents words in the text corpus into high-dimensional vectors, and the relationship among these vectors exhibits knowledge in magnetism and spintronics. A correlation pattern among various vectors representing materials names and the word "spin-orbit torque" quantitatively project spin Hall conductivity and SOT factor for corresponding materials. The projected numbers for known materials agree with known experimental reports. Such quantitative agreement is non-trivial as the machine does not learn numerical values reported in the literature, but the patterns are obtained based on the context in which the words appeared in the text corpus.

Surprisingly, our machine intelligence-based approach predicted 32 new materials to exhibit SOT, which have not been discussed yet in the context of SOT to our knowledge. Interestingly, 9 of these predicted materials are expected to show a SOT factor much greater than unity, with the largest expected value of 36.4. One of them quantitatively matched our independent experiment on a silicide. 
**References** [1] IEEE Trans. Magnetics 57(7), 1-39 (2021).
[2] Phys. Rev. Applied 15, 054004 (2021).
[3] Nature 571, 95-98 (2019).
 
![](https://s3.eu-west-1.amazonaws.com/underline.prod/uploads/markdown_image/1/image/d0cf6471ed51ec68b63ca698edcd5144.png)

Machine intelligence in new materials identification for efficient spin orbit torque (SOT) MRAM.

The prospect of controlling topologically protected spin textures such as skyrmions lattices in high-density race-track memories offers an alternative to conventional domain wall based spintronic devices (1, 2). A variety of skyrmion spin structures have been observed in non-centrosymmetric compounds and understanding the phase field stability and size of the magnetic texture is of fundamental importance to control the desired functionality in the materials.
The lacunar spinel family with the net formula AB4X8 (A = Al, Ga, Ge; B = V, Mo; X = S, Se) has gained much attention in this respect as several compounds crystallize in the non-centrosymmetric polar rhombohedral structure (R3m, C3v) at low temperature and are magnetically ordered, with skyrmion lattice observed in GaV4S8 (3), GaV4Se8 (4) and GaMo4S8 (5). So far only polycrystalline samples of GaMo4Se8 have been studied (6).
We have performed extensive structural and magnetic characterisation on both single and poly-crystals of GaMo4Se8. Using high resolution powder neutron diffraction we confirms the phase separation below the phase transition from cubic to mixture of rhombohedral and orthorhombic phases and a significant magneto-structural coupling. Among lacunar spinels, the phenomenon of phase separation is unique to GaMo4Se8 and likely to result from the high compressive strain relaxation through the formation of the minority phase (Fig. 1a). Our small angle neutron scattering study on single crystals reveals a cycloid spin structure with a period of 15.4 nm (Fig. 1b) and upon the application of a magnetic field along the polar axis, pattern compatible with a skyrmion lattice is observed (Fig. 1c). The temperature-magnetic field phase field is established and shows that the spin texture is preserved down to the lowest temperature and under a large magnetic field of 1 T. 

**References:** 
(1) S. S. P. Parkin, M. Hayashi, L. Thomas, Science, 2008, 320, 190. 
(2) A. Fert, V. Cros, J. Sampaio, Nature Nanotechnology, 2013, 8, 152. 
(3) I. Kezsmarki et al., Nature Materials, 2015, 14, 1116. 
(4) S. Bordacs et al., Scientific Reports, 2017, 7, 7584 
(5) A. Butykai et al., npj Quantum Materials, 2022, 7, 26 
(6) E. C. Schueller et al., Phys. Rev. Materials, 2020, 4, 064402 

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Magneto structural coupling and skyrmions lattice phase field in the lacunar spinel GaMo4Se8

The anomalous Nernst effect (ANE) generates an electric field (EANE) orthogonal to both magnetization and temperature gradient in ferromagnetic materials. In order to realize high-performance ANE-based thermoelectric power generation devices, exploring a material with a large anomalous Nernst coefficient (SANE) is essential. Fe4N is a promising material with relatively large SANE of 2.2 μV/K [1]. In this study, Fe4-xNixN films were fabricated and their ANEs were characterized to reveal the Ni addition effect to Fe4N.
The Fe4-xNixN films were grown on MgAl2O4(MAO)(001) substrates at 450 °C. The structures of the samples were characterized by x-ray diffraction. The Ni/Fe ratio, x, in Fe4-xNixN films was changed in the range of 0 ≤ x ≤ 2.8. The samples were microfabricated into a Hall bar shape, and ANE, the Seebeck effect, and the anomalous Hall effect (AHE) were characterized [2]. The external magnetic field dependence of EANE was measured at different temperature gradient and SANE was estimated. The transverse conductivity (σxy) and the transverse thermoelectric conductivity (αxy) of Fe3NiN was calculated by the first-principles calculation [3].
The Fe4-xNixN films were epitaxially grown on the MAO(001) substrates, but the Fe4-xNixN phase started to decompose into FeNi at about x = 2.3. The relationship between SANE, Seebeck coefficient (SSE) and x in Fe4-xNixN is shown in Fig. 1. The SANE value decreased from 1.7 to 0.6 μV/K and the SSE value increased from -2.3 to 1.2 μV/K with the increase of x. By using the experimental data, αxy was calculated. The result showed that αxy decreased with the increase of x and the change of αxy dominated the change of SANE. In the presentation, the obtained σxy and αxy values will be compared with the calculation results.
This work was supported by the Grants-in-Aid for Scientific Research (S) (Grant No. JP18H05246) and (C) (Grant No. JP21K04859) from JSPS KAKENHI, Collaborative Research Center on Energy Materials, Institute for Materials Research, Tohoku University, and the Cooperative Research Project of the Research Institute of Electric Communication, Tohoku University. 
**References** [1] S. Isogami, K. Takanashi, and M. Mizuguchi, Appl. Phys. Express 10, 073005 (2017).
[2] J. Wang, Y.-C. Lau, W. Zhou, T. Seki, Y. Sakuraba, T. Kubota, K. Ito, and K. Takanashi, Adv. Electron. Mater. 8, 2101380 (2022).
[3] Y. Tsubowa, M. Tsujikawa, and M. Shirai, the 69th JSAP spring meeting 2022, 23a-E205-5 (2022).
 
![](https://s3.eu-west-1.amazonaws.com/underline.prod/uploads/markdown_image/1/image/cebe57e9752717193e9b53bccf8d8546.png)

Anomalous Nernst effect in epitaxially grown Fe4 xNixN films

Nd-Fe-B based magnet is the more powerful than any other magnets at room temperature. It plays a dominant role in energy efficiency and renewable energy applications due to its high energy density. However, making Nd-Fe-B magnets, especially into small sizes, can be challenging and costly. The part failure rate can be high during machining due to its brittleness. The reproducibility can be poor due to the variance in composition and microstructure inherent to the currently available fabrication methods. And the manufacturing cost is high due to the limited productivity of the batch based processes. Moreover, Nd-Fe-B needs heavy rare earth elements to be functional at higher temperature. These HRE are critical materials. One approach to bypass this HRE criticality issue is to utilize the grain size effect on coercivity, e.g., nanograin size magnet can perform the same as the micron-grain size magnet with 4-6% of Dy. However, making nanograin magnet requires a two-steps process: hot-press for densification and hot-deformation for texture. It is an inherently expensive process. Here, we report a novel Nd-Fe-B fabrication method that is continuous and near-net-shape. The process starts with loading Nd-Fe-B powders into a metal tube, packing the powder to 60% dense, then hot-rolling the powders into full density. We showed that hot rolling at 800°C with 70% thickness reduction can result in nearly full density (93%) anisotropic magnet with high energy product (31.6 MGOe). This novel method allows cost-effective production of near-net-shape Nd-Fe-B magnetic with good and consistent magnetic properties. Moreover, the method allows the making of continuous strip magnet that can be curved to match motor radius, making it possible to maximize the magnetic flux density on rotor circumference, thereby increase motor powder density. 
**References:**

Near net shape fabrication of anisotropic Nd Fe

The synthetic antiferromagnetic (SAF) nanoplatelets (NPs) with perpendicular magnetic anisotropy (PMA) are of particular interest for torque-related applications due to their large anisotropy [1]. However, previous research indicates that the coercivity (Hc) increases significantly for small structures with PMA due to thermally activated-magnetization reversal [2]. As the size of NPs drops, larger field is required, and its distribution increases, to activate the NPs which is undesirable for applications. This raises a question of how the magnetization reversal characteristics of the SAF-PMA system scale with size. In this work, we study the magnetization reversal process of PMA-SAF systems of different sizes and materials (CoB/Pt and CoFeB/Pt). The basic thin-film stack is shown in the insert of Fig 1. PMA-SAF nanoplatelets with different sizes are fabricated through electron beam lithography (EBL) and measured using polar magneto-optic Kerr effect (MOKE) magnetometry. One example of the fabricated nanoplatelets is shown in Fig 1. An increase of Hc and its distribution (indicated by the error bar in Fig 2.) is observed with decreasing size as shown in Fig 2. An overall smaller Hc is observed in CoFeB/Pt system compared to CoB/Pt system which can be attributed to the decrease of anisotropy and the different defect-nucleation distribution of the materials. A model based on a local anisotropy distribution and thermal activation is established to simulate the data [3]. The model can accurately predict the Hc behavior, giving further insights into how the size, materials, and anisotropy affect the underlying reversal process. In this talk, we present the size-depended magnetization reversal process of SAF NPs, discuss the physics based on the simulation, and propose the methods to control the switching distribution. This will pave the way to tune the activating magnetic field of PMA-SAF NPs for applications.

Size dependent Magnetization Reversal Characteristics of Synthetic Antiferromagnetic Nanoplatelets

Geometrical transformations, such as rolling a 2D ferromagnetic film into a 3D cylinder provide means to tune its magnetic properties generating different magnetic ground states [1]. Rolled-up magnetic membranes with azimuthal magnetic anisotropy are very attractive due to expected much higher domain wall velocity (compare to their planar counterparts) [2] and for applications as impedance-based field sensors [1]. However, a clear recipe for acquiring highly mobile azimuthal domains in a soft ferromagnetic tubular geometry is unclear. State of the art studies report the rolling of an extended ferromagnetic film (of hundreds of micro-meters), which after rolling converts into tubular geometry with 2-3 windings [1]. Changes in the magnetic domain configuration in such tubular geometries may arise from modifications of the shape anisotropy in addition to stress-induced anisotropy due to rolling. In our work, we report on rolling-induced azimuthal anisotropy in Ni78Fe22 stripes (as shown in figure 1a) purely due to strain, considering that curvature induced changes in shape anisotropy can be neglected due to reduced dimensions of our magnetic stripe in the azimuthal direction. For that, we employed a self-assembly rolling technology based on a polymeric platform, which allows choosing the shape and size of the magnetic structure willingly. Magnetic structures patterned on the polymeric platform can be bent controllably and hence the sign and magnitude of strain on the magnetic structure can be adjusted. We quantify the induced azimuthal magnetic anisotropy (figure 1c) by electrical measurements (figure 1b) capable of providing magnetic properties of magnetic structures hidden under the 3D polymer architecture.

Self Assembly as a Tool to Study Strain

B2-ordered FeRh undergoes a thermally activated first-order phase transition between antiferromagnetic (AF) and ferromagnetic (FM) order upon heating, with a transition temperature between 350 - 380 K [1], making it an ideal candidate for use in a wide range of magnetic storage architectures [2]. The evolution of magnetic domains through the transition has been well-characterized [1-5]. However, behaviours such as the domain nucleation mechanism and subsequent evolution of the magnetic domains along the sample thickness through the phase transition remain unclear [1,3-5]. Here, we present three-dimensional (3D) reconstructions of the magnetic structure through the sample volume at various temperatures through the phase transition, achieved using magnetic laminography [6-7]. Imaging cross-sections through the sample thickness reveal that domains for both types of magnetic order nucleate at the surface and travel into the bulk of the sample with changing temperature. Creating a complex 3D magnetic structure, in which the evolution of the magnetic state along the sample thickness with temperature is non-uniform. We also observe quasi-uniform FM domains at 310 K when heating, in contrast to the expected flux-closed state [1], as well as AF regions where FM domain walls are expected. Both observations can be attributed to the exchange coupling between adjacent AF and FM regions, which plays a key role determining the FM configuration in this material. 

**References:** 

[1] T. P. Almeida et al., Phys. Rev. Materials 4, 034410 (2020). 
[2] R. C. Temple et al., Phys. Rev. Materials 2, 104406 (2018). 
[3] C. Gatel et al., Nat. Comms. 8, 15703 (2017). 
[4] V. Uhlir et al., Nat. Comms. 7, 13113 (2016). 
[5] M. A. de Vries et al., Appl. Phys. Lett. 104, 232407 (2014). 
[6] C. Donnelly et al., Nature Nanotech. 15, 356 (2020) 
[7] K. Witte et al., Nano Lett. 20, 1305 (2020). 

![](https://s3.eu-west-1.amazonaws.com/underline.prod/uploads/markdown_image/1/image/414340bf650690f8d6cd5a0702a04b3c.png)

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