United States

Using molecular beam epitaxy, a nanoscale thin film magnet of &lt;i&gt;c&lt;/i&gt;-axis-oriented Sm&lt;sub&gt;2&lt;/sub&gt;Co&lt;sub&gt;17&lt;/sub&gt; and SmCo&lt;sub&gt;5&lt;/sub&gt; is stabilized. While typically in the prototype Sm(Co,Fe,Cu, Zr)&lt;sub&gt;7.5−8&lt;/sub&gt; pinning-type magnets, an ordered nanocomposite is formed by complex thermal treatments, here, a one-step approach to induce controlled phase separation in a binary Sm−Co system is shown. A detailed analysis of the extended X-ray absorption fine-structure confirmed the coexistence of Sm&lt;sub&gt;2&lt;/sub&gt;Co&lt;sub&gt;17&lt;/sub&gt; and SmCo&lt;sub&gt;5&lt;/sub&gt; with 65% Sm&lt;sub&gt;2&lt;/sub&gt;Co&lt;sub&gt;17&lt;/sub&gt; and 35% SmCo&lt;sub&gt;5&lt;/sub&gt;. The SmCo&lt;sub&gt;5&lt;/sub&gt; phase is stabilized directly on an Al&lt;sub&gt;2&lt;/sub&gt;O&lt;sub&gt;3&lt;/sub&gt; substrate up to a thickness of 4 nm followed by a matrix of Sm&lt;sub&gt;2&lt;/sub&gt;Co&lt;sub&gt;17&lt;/sub&gt; intermixed with SmCo&lt;sub&gt;5&lt;/sub&gt;. This structural transition takes place through coherent atomic layers, as revealed by scanning transmission electron microscopy. Highly crystalline growth of well-aligned Sm&lt;sub&gt;2&lt;/sub&gt;Co&lt;sub&gt;17&lt;/sub&gt; and SmCo&lt;sub&gt;5&lt;/sub&gt; with coherent interfaces results in strong exchange interaction, leading to enhanced magnetization and magnetic coupling. The arrangement of Sm&lt;sub&gt;2&lt;/sub&gt;Co&lt;sub&gt;17&lt;/sub&gt; and SmCo&lt;sub&gt;5&lt;/sub&gt; phases at the nanoscale is reflected in the observed magneto-crystalline anisotropy and coercivity. As next-generation permanent magnets require designing of materials at an atomic level, this work enhances our understanding of self-assembling and functioning of nanophase magnets and contributes to establishing new concepts to engineer the microstructure for beyond state-of-the-art magnets.

2022 Joint MMM-INTERMAG

Epitaxy Induced Highly Ordered Sm2Co17−SmCo5 Nanoscale Thin Film Magnets

The 15th Joint MMM-INTERMAG Conference (2022 Joint) 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 plenary session, and an evening session, with about 1500 presentations overall. This Conference provides an outstanding opportunity for worldwide participants to meet their colleagues and collaborators and discuss developments in all areas of magnetism research.

The 2022 Joint Conference will offer both in-person and prerecorded on-demand content.

For tickets to the event, please register at the following link: https://magnetism.org/register

Please register for the Joint MMM-Intermag 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.

Using molecular beam epitaxy, a nanoscale thin film magnet of c-axis-oriented Sm2Co17 and SmCo5 is stabilized. While typically in the prototype Sm(Co,Fe,Cu, Zr)7.5−8 pinning-type magnets, an ordered nanocomposite is formed by complex thermal treatments, here, a one-step approach to induce controlled phase separation in a binary Sm−Co system is shown. A detailed analysis of the extended X-ray absorption fine-structure confirmed the coexistence of Sm2Co17 and SmCo5 with 65% Sm2Co17 and 35% SmCo5. The SmCo5 phase is stabilized directly on an Al2O3 substrate up to a thickness of 4 nm followed by a matrix of Sm2Co17 intermixed with SmCo5. This structural transition takes place through coherent atomic layers, as revealed by scanning transmission electron microscopy. Highly crystalline growth of well-aligned Sm2Co17 and SmCo5 with coherent interfaces results in strong exchange interaction, leading to enhanced magnetization and magnetic coupling. The arrangement of Sm2Co17 and SmCo5 phases at the nanoscale is reflected in the observed magneto-crystalline anisotropy and coercivity. As next-generation permanent magnets require designing of materials at an atomic level, this work enhances our understanding of self-assembling and functioning of nanophase magnets and contributes to establishing new concepts to engineer the microstructure for beyond state-of-the-art magnets.

technical paper

Perpendicular magnetic anisotropy (PMA) is a property of magnetic films which allows for high-density data storage in spintronic applications. In rare earth iron garnets, PMA typically originates from magnetoelastic anisotropy either as a result of film strain due to lattice mismatch with a single crystal garnet substrate or from thermal mismatch upon annealing1. However, PMA derived from magnetoelastic anisotropy requires specific combinations of strain state and magnetostriction coefficients, so there is interest in finding new ways to control PMA in thin films. In this study we demonstrate that PMA can also be obtained from a dominant growth-induced anisotropy (GIA) using europium thulium iron garnet (EuTmIG) as a model material. By varying the ratio of Eu to Tm, the lattice parameter of the garnet can be changed, resulting in films which are under compression or tension on a gadolinium gallium garnet (GGG) substrate, as shown in Fig. 1 with high resolution x-ray diffraction (HRXRD) analysis. Vibrating sample magnetometry (VSM), shown in Fig. 2, indicates that PMA is present in all films regardless of strain state. We propose that PMA in the zero-strain film is attributed to GIA due to the preferential ordering of different rare earth ions on inequivalent lattice sites within the garnet2. Additionally, we quantify GIA and spin transport in the films with spin hall magnetoresistance measurements on Pt/EuTmIG hall crosses. This work shows that precise engineering of the structure of these high quality films creates new methods for control of garnet thin film properties for spintronic applications.

![](https://assets.underline.io/uploads/markdown_image/1/image/4ca3d887128a3f5963a08aed3388a341.jpg)

Fig. 1. HRXRD of the (444) symmetric reflection of ~25 nm EuIG, TmIG and Eu0.7Tm2.3Fe5O12 films on (111) GGG substrates show tensile, compressive, and near zero strain states, respectivley, as shown by the relative position of the film and substrate peaks.


![](https://assets.underline.io/uploads/markdown_image/1/image/92fab549d605d7cf75d3aa45236e89fd.jpg)

Fig 2. PMA is evident in out-of-plane VSM of all films, regardless of the magnitude of magnetoelastic anisotropy.

Growth-Induced Perpendicular Magnetic Anisotropy in Thin Film Rare Earth Iron Garnets

Colloidal magnetic nanoparticles (MNPs) of metal oxides are increasingly important for applications such as biomedical imaging, sensing, drug delivery, and hyperthermia. These exploit the very soft magnetism found in nanoscale ferrimagnets, often ferrites, which yield a strong collective response to applied alternating (AC) magnetic fields while remaining dispersed in media. Their synthesis relies on reproducible, scalable, colloidal solution chemistry routes. Further, the size, shape, structure, and composition are tunable, serving as levers to design and manipulate the magnetic behavior of these functional MNPs. Here, we report colloidal MNPs specifically designed for remote 3D thermometry; a technique that employs MNPs to measure and image temperature remotely with high spatial resolution throughout a three-dimensional volume. This metrology is based on the temperature-dependent nature of the particles’ magnetization, their dispersibility throughout a liquid or solid of interest, and the ability of applied AC magnetic fields to penetrate through many materials. A series of shape- and size-controlled colloidal MNPs based on ferrites were synthesized via the thermal decomposition of organometallic precursors. Further, we exploited compositional doping of transition metal elements and exchange coupling between core-shell magnetic heterostructures to generate improved temperature-dependent magnetization (200-400 K at &lt;0.001 T applied AC field). Extensive structural characterization was performed to better understand the underlying factors influencing the magnetic response. Results collected from X-ray photoelectron and Raman spectroscopies, and high-resolution electron microscopies revealed correlations between the nanoscale atomic structure of these particles with their magnetic performance. Finally, we used a home-built AC magnetic particle spectrometer to determine the magnetization-dependence of these nanothermometers as a function of temperature, frequency, and field amplitude. We show that designed complex metal oxide MNPs display tunable thermosensitivity and AC field signal response, which represents a potential pathway to the implementation of a practical 3D thermal imaging platform based on magnetometry.

Designing Magnetic Metal Oxide Colloidal Nanoparticles for Spatially Resolved Thermometry

Yttrium Iron Garnet is the benchmark material for ferromagnetic resonance; it is up to today the only magnetic material that is being integrated in on-shell electronic devices for its radiofrequency properties that combine high resonance quality factor (104) and frequency tunability. It is the goal of YIG magnonics to make use of this potential for a large variety of applications ranging from beyond CMOS computation to radiofrequency front-end and back-end analog signal processing. YIG devices have however a sever drawback that is that they should include thermal stabilization. This is a necessity since YIG has a relatively low Curie temperature (~550K) which results in a high sensitivity of its magnetization to temperature (~0.4 mT /Kelvin). In the present study we show a novel approach to solve this long standing issue by engineering the magnetic anisotropy in Bi substituted YIG. We evidence for those films that vanishing effective magnetization yields high thermal stability over very wide temperature range: from 260K to 400K, where the frequency thermal drift is 50 times smaller than that of YIG while keeping the extremely low damping and insulating character of YIG [1] For instance, we show that this was instrumental to the excitation of coherent spin-waves using SOT described in Ref. 2. FMR frequency can be written for a thin film in the in-plane magnetization configuration as: f= γ√(Ha+(Ms-Hu)). Where γ is the gyromagnetic factor, Ha is the applied magnetic field, Ms is the saturation magnetization and Hu is the out-of-plane magnetic anisotropy field. The effective magnetization is defined as Meff=Ms-Hu . It arises from this equation that the only temperature dependent terms are Ms(T) and Hu(T). Our observation show that here those term can be engeniered to have identical temperature dependences yielding a vanishing effective magnetization. This observation is unexpected as in most magnetic material the magnetic anisotropy has a much steeper temperature dependence than the magnetization. We anticipate that fabricating a material whose FMR frequency is temperature independent open new opportunities for the field of spintronics.

Evidence for Temperature Independent Ferromagnetic Resonance Frequency in Bismuth Substituted Iron Garnets

In alloy based soft magnetic materials various factors such as alloy composition, phase, synthesis process and annealing conditions affect their magnetic properties. Co, Fe and Ni based alloy thin films exhibit high magnetic moment and high permeability which mark their importance in memory devices and MEMS. The magnetization reversal mechanism in thin films plays a significant role for such technological applications. Here, binary FeCo and ternary (FeCo)(100-x) Nix alloy thin films were deposited on Indium Tin Oxide coated glass substrate by electrochemical deposition. The composition of as deposited alloy was confirmed by EDAX. The surface morphology analysed by SEM, confirmed uniformly dispersed flakes all over the substrate in FeCo films. The increasing content of Ni in the alloy results in the formation of irregular shaped granular structure. Bulk magnetic properties were characterized by VSM hysteresis. As the Ni content increases the coercivity as well as remanence decreases (fig.1) and this is probably due to decrease in anisotropy with added Ni content. The ternary alloy tends to exhibit permalloy like properties but with higher magnetization. The decrease in remanence for higher Ni content marks the change in easy axis orientation from film-plane direction in FeCo to an added minor fraction of out-plane orientation in (FeCo)75Ni25. The plot of coercivity versus angle (θ) between easy axis of magnetization (film plane) and applied field along with the appropriate fitting model to the magnetization reversal is shown in fig.2. It is clear that for lower Ni content, a good fit to the experimental data for angular variation of coercivity is obtained using Kondorsky model, indicating domain reversal mechanism arising due to domain wall depinning from a local defect. The origin of these pinning centres could be the presence of an oxide layer on top of the film surface or at the ITO-alloy film interface. The magnetization reversal mechanism in FeCoNi alloy is predominantly influenced by the Ni concentration. A deeper understanding of this behaviour would be provided by micromagnetic simulation.

![](https://assets.underline.io/uploads/markdown_image/1/image/e2a88a2d12347264f1d1b30df6fbf6b1.jpg)

Change in Hc and Mr/Ms with increasing concentration of Ni


![](https://assets.underline.io/uploads/markdown_image/1/image/4ed8f861136ff255ce3d617ed218ed56.jpg)

Angular variation in Hc fitted with modified Kondorsky Model

Magnetization Reversal Behavior in Electrodeposited FeCoNi Thin Films

Developing a model of magnetic materials, such as electrical steel, that allows to account for both their nonlinear and anisotropic behavior remains a challenge. The approach presented in this paper is based on the use of a Gaussian function whose cumulative distribution function’s shape is very similar to that of a first magnetization curve. This approach has been introduced in the 90s for the study of isothermal remanent magnetization acquired by rock samples containing magnetic minerals [1,2,3]. The main drawback of this approach lies in the fact that a given magnetization curve is derived from one Gaussian function only, which is itself defined by three fixed parameters only [1], leading to non-negligible differences when compared to experimental data. Moreover, this approach has never been adapted to account for the anisotropic behavior of electrical steel. In this paper, we propose to enhance this method by using a function which results from the sum of four Gaussian functions, as illustrated in Fig. 1. To account for the anisotropy, all the parameters used to define the Gaussian functions depend on the angle between the magnetic field H and the rolling direction of the steel, denoted θ. Fig. 2 shows the comparison between first magnetization curves for three different magnetization directions (θ) obtained from experimental data (M530-50A electrical steel), from the original model based on the use of one Gaussian function only and from the proposed enhanced model. The work presented in this paper shows multiple originalities and improvements. Firstly, it shows that using more than one Gaussian function allows for a better approximation of first magnetization curves (Fig. 2). Secondly, it shows that considering θ-dependent parameters to define the Gaussian function allows the method to account for magnetic anisotropy (Fig. 2). Thirdly, it highlights that those parameters follow a polynomial trendline.

![](https://assets.underline.io/uploads/markdown_image/1/image/a840a400f9aa59752141c240e934913c.jpg)

Fig. 1 First magnetization curve derived from a Gaussian function defined as the sum of four subfunctions.

![](https://assets.underline.io/uploads/markdown_image/1/image/553c7c268068ad44177edd6923859cff.jpg)

Fig. 2 Comparison between curves obtained from experimental data (markers), from the original model (dashed) and from the enhanced proposed model (solid).

Modelling of magnetic anisotropy in electrical steel sheet by means of cumulative distribution functions of Gaussians

Additive manufacturing (AM) is becoming an alternative to traditional manufacturing methods [1]. In the most extended AM method (fused deposition modeling, FDM), a polymeric filament is extruded above its melting point for its deposition into thin layers. There is a high interest in the use of composite filaments, formed by a polymeric matrix with functional fillers, for the AM of functional parts [2]. The quality of the FDM printed parts is highly dependent on the uniformity of the filament diameter. In the case of composite filaments, a homogeneous distribution of the fillers is also crucial to have a reproducible and uniform functionality. Homogeneous soft magnetic PLA composite filaments for FDM have been recently reported, in which a customized feedstock of polymeric capsules filled with the functional fillers is employed [3]. Fig. 1 shows that composite filaments exhibit a soft magnetic behavior. Additionally, they all have a demagnetizing factor of ~ 1/3 (spheres, according to the shape of the gas atomized powders) regardless of the concentrations of fillers (up to 52 wt. %, corresponding to 12 vol. %). The addition of the fillers causes a remarkable shift in the thermal degradation temperature of the polymer. Increasing filler content produces an abrupt drop in the complex modulus of the polymer above its glass transition, which shifts to lower temperatures according to the peak of tan(δ) (Fig. 2). A decrease in the viscosity in liquid state is also observed, which causes a reduction of the extrudability and printability of the filaments for filler contents above 30 wt. %. The reduction of the viscosity of the composites requires the lowering of the temperatures for their extrusion and printing with respect to the typical ones for PLA. Work supported by AEI/FEDER-UE (grant PID2019-105720RB-I00), US/JUNTA/FEDER-UE (grant US-1260179), Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía (grant P18-RT-746), and Army Research Laboratory under Cooperative Agreement Number W911NF-19-2-0212.

![](https://assets.underline.io/uploads/markdown_image/1/image/87db25ab60c9820e49c23306bd80571d.jpg)

Fig. 1. Magnetization vs. magnetic field for the raw maraging steel powder and composite filaments.

![](https://assets.underline.io/uploads/markdown_image/1/image/245b4256f10c5e8a2ffe7ab44cd407d4.jpg)

Fig. 2. (a) Complex modulus and (b) tan(δ) of raw PLA and composite filaments.

Manufacturing and Characterization of Soft Magnetic Composite Filaments for Additive Manufacturing

Grain Oriented steels are widely used in transformers and inductors. The materials texture shows an easy magnetization direction adapted to columns and yokes but, at corners when the flux is tilted, the anisotropy must be taken into account. At the quasi-static level, the anisotropy is driven by the crystal grains, demagnetizing field and mechanical stresses, and determines the permeability, the quasi-static hysteresis and the domains orientation at the equilibrium. At the dynamic level, distinct magnetization mechanisms depend on the various domains and walls orientations. It controls the iron losses in any magnetization direction. Numerous scalar models and experimental tools can already describe mainly the unidirectional behavior [1-4]. The extension of scalar models towards tensor models is confronted to unknowns that remain about non-diagonal components and their microscopic physical interpretation explaining the hysteresis cycles in various directions. A dynamic hysteresis model [5] has been chosen. It allows the description of the magnetic behavior related to the anisotropic magnetic structure at equilibrium in quasi-static operating conditions and the anisotropic magnetization mechanisms within domains and walls in dynamic operating conditions. The goal of this work is to identify and determine the tensor properties of an electrical steel, which is necessary to use an anisotropic behavioral model according to two directions of the excitation field, making an angle between 0° (Rolling Direction RD) and 90° (Transverse Direction TD) with RD. The results will be physically discussed considering the main energies that govern the quasi-static domain structure responsible for the slope of the cycles, and those inducing the magnetization mechanisms responsible for the losses, i.e. the cycles area [6]. The experiment uses a conventional GO FeSi steel (R120-27) with a thickness of 0.27mm. Several samples with dimensions 150x150mm2 were laser cut following an accurate angle of respectively 0°, 15°, 30°, 45°, 60°, 75° and 90° with the RD. Measurements were carried out with a Single Sheet Tester which provides data for the magnetic field H and the flux density B in the two directions of the sample’s cut edges.

Experimental identification and physical interpretations of 2D tensor magnetic properties of a grain-oriented electrical steel magnetized between the rolling and the transverse directions.

The large distribution in atomic sizes and masses in high-entropy alloys results in extreme local environments, which manifests strongly in the thermal and magnetic properties. In this work, high-entropy alloys of (Fe,Co,Cr,Ni)Alx, 0 &lt; x &lt; 2, are prepared and their temperature-dependent magnetic and electronic properties determined. Magnetometry results show that all the samples are ferromagnetic, with a high-temperature phase, TC &gt;200 K, and a second low-temperature phase with TC≈20 K. However, the high-temperature phase is not associated with an open hysteresis loop, suggesting superparamagnetic behavior. The closed hysteresis loop suggests the ferromagnetism appears as small clusters, a theory explored with small-angle neutron scattering (SANS). The samples also show downturn in the magnetization at T&lt;10 K which can be associated with an antiferromagnetic phase. Recent works have suggested that extreme strain distributions can induce antiferromagnetic ordering. This research used resources at the High Flux Isotope Reactor and the Spallation Neutron Source, as appropriate, a DOE Office of Science User Facility operated by the Oak Ridge National Laboratory, and was funded by the DOE DE-SC0021344.

![](https://assets.underline.io/uploads/markdown_image/1/image/9fbbd3220c653f72e6dbb393fd2fff76.jpg)

2D SANS image from an HEA

![](https://assets.underline.io/uploads/markdown_image/1/image/066093af3816968964a48af8671c86ab.jpg)

M vs T data for HEA.

Mixed magnetic phases in FeCoCrNiAlx high entropy alloys

Rare earth permanent magnets play a key role in view of the increasing market for green energy applications and new materials which can compete with Nd2Fe14B but are environmentally less problematic are highly sought after. Fe-based ThMn12 phases contain less RE material than the commercially used compounds and have attracted quite some interest. An efficient and resource saving way to identify out of this class new phases which have the potential to become permanent magnets is by computational materials design. However, predicting the magnetic properties of 4f systems is challenging because of the localization of the 4f electrons which determines to a large extend the level of theory needed for a reliable description and prediction. We have shown that the 4f electrons in Sm 1:12 can be viewed as fully localized and can be safely treated as core electrons while for CeFe11Ti the correlation effects are smaller and the 4f states can still be viewed as valence states [1,2]. In the case of NdFe11Ti the 4f electrons are partially localized as can be seen from the hybridization function in Fig. 1. The hybridization function serves as a qualitative measure for the interaction of the 4f electrons with the valence electrons in a system [3]. As a consequence of the partial localization, the cone type magnetocrystalline anisotropy (MCA) of the latter system is only observed in a DFT+U description with an intermediate Hubbard U value, see Fig. 2. Assuming full localization (4f in core) results in a uniaxial MCA which contradicts the experimental findings at low temperatures. Plain DFT also fails. It is also discussed in how far the strong dependence of the MCA and related magnetic properties of NdFe11Ti on the theoretical description influences the prediction of new phases. As test case the quaternary system Nd1-xYxFe12-yTiy was chosen. Supported by NOVAMAG (EU686056), the Swedish Foundation for Strategic Research (EM16-0039), and SNIC (Swedish National Infrastructure for Computing).

![](https://assets.underline.io/uploads/markdown_image/1/image/4ef356ea30502b13556ecaaaa8bde227.jpg)

![](https://assets.underline.io/uploads/markdown_image/1/image/d1615ec9348ff3d8df6e838f0771e695.jpg)

New potential materials for rare earth lean permanent magnets from computational design and the challenge of the 4f electrons

New potential materials for rare earth lean permanent magnets from computational design and the challenge of the 4f electrons

Environmental and technological progress in sectors like energy, transportation, robotics requires large amounts of Permanent Magnets (PMs) [1]. However, high demand predictions are difficult to be met by the current supply chain [2]; subsequently there is urgent need for new materials, with less content in critical or expensive resources but compatible with current industrial infrastructure and able to maintain adequate performance. SmCo5 is a well-established PM with excellent properties which come at a high cost and criticality; stoichiometry modification is a path towards improving the overall merit from the applications’ scope [3]. In this work the effect of partially substituting Sm and Co in SmCo5 with less expensive constituents is presented. Sm0.5MM0.5(Co1-x-yFexNiy)5 samples were prepared by arc-melting constituting elements in Ar atmosphere followed by thermal treatment at 1100 - 1200 K in vacuum. Alloys were structurally and magnetically characterized experimentally and DFT calculations were performed within spin polarized rotationally invariant DFT+U framework and the the Perdew-Burke-Ernzerhof derivation of the generalized gradient approximation pseudopontentials by using the VASP code [4-6] confirmed that the desired CaCu5-type phase could be stabilized. Under our experimental conditions single phase hexagonal phase was not formed. X-Ray diffraction plots analyzed with the Rietveld method revealed a three-phase system with the main phase crystallizing in hexagonal CaCu5-type structure (a = b = 0.4877(2) nm, c = 0.4109(2) nm). There were two additional rhombohedral phases, Gd2Co7-type (a = b = 0.5037(2) nm, c = 3.6627(1) nm and Th2Zn17-type (a = b = 0.8449(4) nm, c = 1.2332(3) nm) which are built within the basic hexagonal frame and their main axes are aligned and related (c/a[1:5] = 0.843, c/a[2:7] = 0.808, a1:5 = a2:7=√3.a2:17, c1:5 = 3.c2:17 = 9.c2:7). This relation is evident in Fig. 1 where powder and epoxy-oriented xrd plots are presented. The materials present fairly large magnetization (Ms = 75-90 Am2/kg) and retain the large anisotropy and thermal endurance of the SmCo5 material.

![](https://assets.underline.io/uploads/markdown_image/1/image/d50846a2652e60266aaf2cc374b4ae52.jpg)

Fig.1: X-ray plots of powder and epoxy-oriented samples of Sm0.5MM0.5Co4Ni materials.

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Growth-Induced Perpendicular Magnetic Anisotropy in Thin Film Rare Earth Iron Garnets

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Growth-Induced Perpendicular Magnetic Anisotropy in Thin Film Rare Earth Iron Garnets

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Computation with Domain Walls and Oscillators in Chirally Coupled Systems

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