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Modern Magnetic Systems Article Magnetic field dependence of magnetotransport properties of MgB2/CrO2 bilayer thin films Alzayed, N. S., Shahabuddin, M., Ramey, S. M., Soltan, S. {Journal of Superconductivity and Novel Magnetism}, 32(8):2447-2455, Springer Science + Business Media B.V., New York, 2019 DOI BibTeX

Modern Magnetic Systems Article Magnons in a Quasicrystal: Propagation, Extinction, and Localization of Spin Waves in Fibonacci Structures Lisiecki, F., Rychły, J., Kuświk, P., Głowiński, H., Kłos, J. W., Groß, F., Träger, N., Bykova, I., Weigand, M., Zelent, M., Goering, E. J., Schütz, G., Krawczyk, M., Stobiecki, F., Dubowik, J., Gräfe, J. Physical Review Applied, 11:054061, 2019
Magnonic quasicrystals exceed the possibilities of spin-wave (SW) manipulation offered by regular magnonic crystals, because of their more complex SW spectra with fractal characteristics. Here, we report the direct x-ray microscopic observation of propagating SWs in a magnonic quasicrystal, consisting of dipolar coupled permalloy nanowires arranged in a one-dimensional Fibonacci sequence. SWs from the first and second band as well as evanescent waves from the band gap between them are imaged. Moreover, additional mini band gaps in the spectrum are demonstrated, directly indicating an influence of the quasiperiodicity of the system. Finally, the localization of SW modes within the Fibonacci crystal is shown. The experimental results are interpreted using numerical calculations and we deduce a simple model to estimate the frequency position of the magnonic gaps in quasiperiodic structures. The demonstrated features of SW spectra in one-dimensional magnonic quasicrystals allow utilizing this class of metamaterials for magnonics and make them an ideal basis for future applications.
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Modern Magnetic Systems Book Chapter Nanomagnetismus im Röntgenlicht Schütz, G. In Vielfältige Physik, 173-182, Springer Spektrum, Berlin, Heidelberg, 2019 DOI BibTeX

Modern Magnetic Systems Miscellaneous Reconfigurable nanoscale spin wave majority gate with frequency-division multiplexing Talmelli, G., Devolder, T., Träger, N., Förster, J., Wintz, S., Weigand, M., Stoll, H., Heyns, M., Schütz, G., Radu, I., Gräfe, J., Ciubotaru, F., Adelmann, C. 2019
Spin waves are excitations in ferromagnetic media that have been proposed as information carriers in spintronic devices with potentially much lower operation power than conventional charge-based electronics. The wave nature of spin waves can be exploited to design majority gates by coding information in their phase and using interference for computation. However, a scalable spin wave majority gate design that can be co-integrated alongside conventional Si-based electronics is still lacking. Here, we demonstrate a reconfigurable nanoscale inline spin wave majority gate with ultrasmall footprint, frequency-division multiplexing, and fan-out. Time-resolved imaging of the magnetisation dynamics by scanning transmission x-ray microscopy reveals the operation mode of the device and validates the full logic majority truth table. All-electrical spin wave spectroscopy further demonstrates spin wave majority gates with sub-micron dimensions, sub-micron spin wave wavelengths, and reconfigurable input and output ports. We also show that interference-based computation allows for frequency-division multiplexing as well as the computation of different logic functions in the same device. Such devices can thus form the foundation of a future spin-wave-based superscalar vector computing platform.
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Modern Magnetic Systems Article Reprogrammability and Scalability of Magnonic Fibonacci Quasicrystals Lisiecki, F., Rychły, J., Kuświk, P., Głowiński, H., Kłos, J. W., Groß, F., Bykova, I., Weigand, M., Zelent, M., Goering, E. J., Schütz, G., Gubbiotti, G., Krawczyk, M., Stobiecki, F., Dubowik, J., Gräfe, J. Physical Review Applied, 11(5):054003, American Physical Society, College Park, Md. [u.a.], 2019
Magnonic crystals are systems that can be used to design and tune the dynamic properties of magnetization. Here, we focus on one-dimensional Fibonacci magnonic quasicrystals. We confirm the existence of collective spin waves propagating through the structure as well as dispersionless modes; the reprogammability of the resonance frequencies, dependent on the magnetization order; and dynamic spin-wave interactions. With the fundamental understanding of these properties, we lay a foundation for the scalable and advanced design of spin-wave band structures for spintronic, microwave, and magnonic applications.
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Modern Magnetic Systems Article Visualizing nanoscale spin waves using MAXYMUS Gräfe, J., Weigand, M., Van Waeyenberge, B., Gangwar, A., Groß, F., Lisiecki, F., Rychly, J., Stoll, H., Träger, N., Förster, J., Stobiecki, F., Dubowik, J., Klos, H., Krwaczyk, M., Back, C. H., Goering, E. J., Schütz, G. Proceedings of SPIE, 11090:1109025, SPIE, Bellingham, Washington, 2019 (Published)
Magnonics research, i.e. the manipulation of spin waves for information processing, is a topic of intense research interest in the past years. FMR, BLS and MOKE measurements lead to tremendous success and advancement of the field. However, these methods are limited in their spatial resolution. X-ray microscopy opens up a way to push to spatial resolutions below 100 nm. Here, we discuss the methodology of STXM for pump-probe data acquisition with single photon counting and arbitrary excitation patterns. Furthermore, we showcase these capabilities using two magnonic crystals as examples: an antidot lattice and a Fibonacci quasicrystal.
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Modern Magnetic Systems Miscellaneous A special issue on hydrogen-based Energy storage Hirscher, M. {International Journal of Hydrogen Energy}, 44:7737, Elsevier, Amsterdam, 2019 DOI BibTeX

Modern Magnetic Systems Article An international laboratory comparison study of volumetric and gravimetric hydrogen adsorption measurements Hurst, K. E., Gennett, T., Adams, J., Allendorf, M. D., Balderas-Xicohténcatl, R., Bielewski, M., Edwards, B., Espinal, L., Fultz, B., Hirscher, M., Hudson, M. S. L., Hulvey, Z., Latroche, M., Liu, D., Kapelewski, M., Napolitano, E., Perry, Z. T., Purewal, J., Stavila, V., Veenstra, M., et al. {ChemPhysChem}, 20(15):1997-2009, Wiley-VCH, Weinheim, Germany, 2019 DOI BibTeX

Modern Magnetic Systems Article Artifacts from manganese reduction in rock samples prepared by focused ion beam (FIB) slicing for X-ray microspectroscopy Macholdt, D. S., Förster, J., Müller, M., Weber, B., Kappl, M., Kilcoyne, A. L. D., Weigand, M., Leitner, J., Jochum, K. P., Pöhlker, C., Andreae, M. O. {Geoscientific instrumentation, methods and data systems}, 8(1):97-111, Copernicus Publ., Göttingen, 2019 DOI BibTeX

Modern Magnetic Systems Article Barely porous organic cages for hydrogen isotrope separation Liu, M., Zhang, L., Little, M. A., Kapil, V., Ceriotti, M., Yang, S., Ding, L., Holden, D. L., Balderas-Xicohténcatl, R., He, D., Clowes, R., Chong, S. Y., Schütz, G., Chen, L., Hirscher, M., Cooper, A. I. {Science}, 366(6465):613-620, American Association for the Advancement of Science, Washington, D.C., 2019 DOI BibTeX

Modern Magnetic Systems Article Coherent excitation of heterosymmetric spin waves with ultrashort wavelengths Dieterle, G., Förster, J., Stoll, H., Semisalova, A. S., Finizio, S., Gangwar, A., Weigand, M., Noske, M., Fähnle, M., Bykova, I., Gräfe, J., Bozhko, D. A., Musiienko-Shmarova, H. Y., Tiberkevich, V., Slavin, A. N., Back, C. H., Raabe, J., Schütz, G., Wintz, S. {Physical Review Letters}, 122(11), American Physical Society, Woodbury, N.Y., 2019
In the emerging field of magnonics, spin waves are foreseen as signal carriers for future spintronic information processing and communication devices, owing to both the very low power losses and a high device miniaturization potential predicted for short-wavelength spin waves. Yet, the efficient excitation and controlled propagation of nanoscale spin waves remains a severe challenge. Here, we report the observation of high-amplitude, ultrashort dipole-exchange spin waves (down to 80 nm wavelength at 10 GHz frequency) in a ferromagnetic single layer system, coherently excited by the driven dynamics of a spin vortex core. We used time-resolved x-ray microscopy to directly image such propagating spin waves and their excitation over a wide range of frequencies. By further analysis, we found that these waves exhibit a heterosymmetric mode profile, involving regions with anti-Larmor precession sense and purely linear magnetic oscillation. In particular, this mode profile consists of dynamic vortices with laterally alternating helicity, leading to a partial magnetic flux closure over the film thickness, which is explained by a strong and unexpected mode hybridization. This spin-wave phenomenon observed is a general effect inherent to the dynamics of sufficiently thick ferromagnetic single layer films, independent of the specific excitation method employed.
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Modern Magnetic Systems Article Comparison of theories of fast and ultrafast magnetization dynamics Fähnle, M. {Journal of Magnetism and Magnetic Materials}, 469:28-29, NH, Elsevier, Amsterdam, 2019 DOI BibTeX

Modern Magnetic Systems Article Concepts for improving hydrogen storage in nanoporous materials Broom, D. P., Webb, C. J., Fanourgakis, G. S., Froudakis, G. E., Trikalitis, P. N., Hirscher, M. {International Journal of Hydrogen Energy}, 44(15):7768-7779, Elsevier, Amsterdam, 2019 DOI BibTeX

Modern Magnetic Systems Article Coordinated molecule-modulated magnetic phase with metamagnetism in metal-organic frameworks Son, K., Kim, J. Y., Schütz, G., Kang, S. G., Moon, H. R., Oh, H. {Inorganic Chemistry}, 58(14):8895-8899, American Chemical Society, Washington, DC, 2019 DOI BibTeX

Modern Magnetic Systems Article Direct observation of coherent magnons with suboptical wavelengths in a single-crystalline ferrimagnetic insulator Förster, J., Gräfe, J., Bailey, J., Finizio, S., Träger, N., Groß, F., Mayr, S., Stoll, H., Dubs, C., Surzhenko, O., Liebing, N., Woltersdorf, G., Raabe, J., Weigand, M., Schütz, G., Wintz, S. {Physical Review B}, 100(21), American Physical Society, Woodbury, NY, 2019
Spin-wave dynamics were studied in an extended thin film of single-crystalline yttrium iron garnet using time-resolved scanning transmission x-ray microscopy. A combination of mechanical grinding and focused ion beam milling has been utilized to achieve a soft x-ray transparent thickness of the underlying bulk gadolinium gallium garnet substrate. Damon-Eshbach type spin waves down to about 100 nm wavelength have been directly imaged in real space for varying frequencies and external magnetic fields. The dispersion relation extracted from the experimental data agreed well with theoretical predictions. A significant influence of the ion milling process on the local magnetic properties was not detected.
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Modern Magnetic Systems Article Exploiting dynamic opening of apertures in a partially fluorinated MOF for enhancing H2 desorption temperature and isotope separation Zhang, L., Jee, S., Park, J., Jung, M., Wallcher, D., Franz, A., Lee, W., Yoon, M., Choi, K., Hirscher, M., Oh, H. {Journal of the American Chemical Society}, 141(50):19850-19858, American Chemical Society, Washington, DC, 2019 DOI BibTeX

Modern Magnetic Systems Article Extracting the dynamic magnetic contrast in time-resolved X-ray transmission microscopy Schaffers, T., Feggeler, T., Pile, S., Meckenstock, R., Buchner, M., Spoddig, D., Ney, V., Farle, M., Wende, H., Wintz, S., Weigand, M., Ohldag, H., Ollefs, K., Ney, A. {Nanomaterials}, 9(7), MDPI, Basel, Schweiz, 2019 DOI BibTeX

Modern Magnetic Systems Article Generation of switchable singular beams with dynamic metasurfaces Yu, P., Li, J., Li, X., Schütz, G., Hirscher, M., Zhang, S., Liu, N. {ACS Nano}, 13(6):7100-7106, American Chemical Society, Washington, DC, 2019 DOI BibTeX

Modern Magnetic Systems Miscellaneous Hydrogen Energy Hirscher, M., Autrey, T., Orimo, S. {ChemPhysChem}, 20:1153-1411, Wiley-VCH, Weinheim, Germany, 2019 DOI URL BibTeX

Modern Magnetic Systems Article Interpreting first-order reversal curves beyond the Preisach model: An experimental permalloy microarray investigation Groß, F., Ilse, S. E., Schütz, G., Gräfe, J., Goering, E. {Physical Review B}, 99(6), American Physical Society, Woodbury, NY, 2019
First-order reversal curves (FORCs) are a powerful tool to separate microscopic coercivities and interactions in a system without the need for lateral resolution. However, measured FORC densities are not always straightforward to interpret, especially if the system is interaction dominated and the Preisach-like interpretation of the FORC density breaks down. This is why FORC is often seen as a magnetic fingerprint instead of a measurement method yielding quantitative information. To understand additional features arising from the interactions in the system, we purposely designed permalloy microstructures which violate the Mayergoyz criteria. These artificial systems allow us to isolate the origin of an additional interaction peak in the FORC density. Modeling the system as a superposition of dipoles allows us to extract interaction strength parameters from this static simulation. Additionally, we suggest a linear relation between integrated interaction peak volume and interaction strength within the system. The presented correlation could be used to investigate the interaction behavior of samples as a function of structural parameters within a series of FORC measurements. This is an important step towards a more quantitative understanding of FORCs which violate the Mayergoyz criteria and away from a fingerprint interpretation.
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Modern Magnetic Systems Article Magnetically induced anisotropy of flux penetration into strong-pinning superconductor/ferromagnet bilayers Simmendinger, J., Hänisch, J., Bihler, M., Ionescu, A. M., Weigand, M., Sieger, M., Hühne, R., Rijckaert, H., van Driessche, I., Schütz, G., Albrecht, J. {New Journal of Physics}, 21, IOP Publishing, Bristol, 2019 DOI BibTeX

Modern Magnetic Systems Article Mixed-state magnetotransport properties of MgB2 thin film prepared by pulsed laser deposition on an Al2O3 substrate Alzayed, N. S., Shahabuddin, M., Ramey, S. M., Soltan, S. {Journal of Materials Science: Materials in Electronics}, 30(2):1547-1552, Springer, Norwell, MA, 2019 DOI BibTeX

Modern Magnetic Systems Article Nanoscale X-ray imaging of spin dynamics in Yttrium iron garnet Förster, J., Wintz, S., Bailey, J., Finizio, S., Josten, E., Meertens, D., Dubs, C., Bozhko, D. A., Stoll, H., Dieterle, G., Traeger, N., Raabe, J., Slavin, A. N., Weigand, M., Gräfe, J., Schütz, G. Journal of Applied Physics, 126, 2019
Time-resolved scanning transmission x-ray microscopy has been used for the direct imaging of spin-wave dynamics in a thin film yttrium iron garnet (YIG) with sub-200 nm spatial resolution. Application of this x-ray transmission technique to single-crystalline garnet films was achieved by extracting a lamella (13×5×0.185 μm3) of the liquid phase epitaxy grown YIG thin film out of a gadolinium gallium garnet substrate. Spin waves in the sample were measured along the Damon-Eshbach and backward volume directions of propagation at gigahertz frequencies and with wavelengths in a range between 200 nm and 10 μm. The results were compared to theoretical models. Here, the widely used approximate dispersion equation for dipole-exchange spin waves proved to be insufficient for describing the observed Damon-Eshbach type modes. For achieving an accurate description, we made use of the full analytical theory taking mode-hybridization effects into account.
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Modern Magnetic Systems Article Nanoscale detection of spin wave deflection angles in permalloy Gross, F., Träger, N., Förster, J., Weigand, M., Schütz, G., Gräfe, J. {Applied Physics Letters}, 114(1), American Institute of Physics, Melville, NY, 2019
Magnonics is a potential candidate for beyond CMOS and neuromorphic computing technologies with advanced phase encoded logic. However, nanoscale imaging of spin waves with full phase and magnetization amplitude information is a challenge. We show a generalized scanning transmission x-ray microscopy platform to get a complete understanding of spin waves, including the k-vector, phase, and absolute magnetization deflection angle. As an example, this is demonstrated using a 50 nm thin permalloy film where we find a maximum deflection angle of 1.5° and good agreement with the k-vector dispersion previously reported in the literature. With a spatial resolution approximately ten times better than any other methods for spin wave imaging, x-ray microscopy opens a vast range of possibilities for the observation of spin waves and various magnetic structures.
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Modern Magnetic Systems Article Niobium near-surface composition during nitrogen infusion relevant for superconducting radio-frequency cavities Semione, G. D. L., Dangwal Pandey, A., Tober, S., Pfrommer, J., Poulain, A., Drnec, J., Schütz, G., Keller, T. F., Noei, H., Vonk, V., Foster, B., Stierle, A. {Physical Review Accelerators and Beams}, 22(10), American Physical Society, Ridge, NY, USA, 2019 DOI BibTeX

Modern Magnetic Systems Article Piezo-electrical control of gyration dynamics of magnetic vortices Filianina, M., Baldrati, L., Hajiri, T., Litzius, K., Foerster, M., Aballe, L., Kläui, M. {Applied Physics Letters}, 115(6), American Institute of Physics, Melville, NY, 2019 DOI BibTeX

Modern Magnetic Systems Article Scaling of intrinsic domain wall magnetoresistance with confinement in electromigrated nanocontacts Reeve, R. M., Loescher, A., Kazemi, H., Dupé, B., Mawass, M., Winkler, T., Schönke, D., Miao, J., Litzius, K., Sedlmayr, N., Schneider, I., Sinova, J., Eggert, S., Kläui, M. {Physical Review B}, 99(21), American Physical Society, Woodbury, NY, 2019 DOI BibTeX

Modern Magnetic Systems Article Structural and magnetic properties of FePt-Tb alloy thin films Schmidt, N. Y., Laureti, S., Radu, F., Ryll, H., Luo, C., d’Acapito, F., Tripathi, S., Goering, E., Weller, D., Albrecht, M. {Physical Review B}, 100(6), American Physical Society, Woodbury, NY, 2019 DOI BibTeX

Modern Magnetic Systems Article Systematic experimental study on quantum sieving of hydrogen isotopes in metal-amide-imidazolate frameworks with narrow 1-D channels Mondal, S. S., Kreuzer, A., Behrens, K., Schütz, G., Holdt, H., Hirscher, M. {ChemPhysChem}, 20(10):1311-1315, Wiley-VCH, Weinheim, Germany, 2019 DOI BibTeX

Modern Magnetic Systems Article The route to supercurrent transparent ferromagnetic barriers in superconducting matrix Ivanov, Y. P., Soltan, S., Albrecht, J., Goering, E., Schütz, G., Zhang, Z., Chuvilin, A. {ACS Nano}, 13(5):5655-5661, American Chemical Society, Washington, DC, 2019 DOI BibTeX

Modern Magnetic Systems Article Tunable perpendicular exchange bias in oxide heterostructures Kim, G., Khaydukov, Y., Bluschke, M., Suyolcu, Y. E., Christiani, G., Son, K., Dietl, C., Keller, T., Weschke, E., van Aken, P. A., Logvenov, G., Keimer, B. {Physical Review Materials}, 3(8), American Physical Society, College Park, MD, 2019 DOI BibTeX

Modern Magnetic Systems Article gFORC: A graphics processing unit accelerated first-order reversal-curve calculator Groß, F., Martínez-García, J. C., Ilse, S. E., Schütz, G., Goering, E., Rivas, M., Gräfe, J. {Journal of Applied Physics}, 126(16), AIP Publishing, New York, NY, 2019
First-order reversal-curves have proven to be an indispensable characterization tool for physics as well as for geology. However, the conventional evaluation algorithm requires a lot of computational effort for a comparable easy task to overcome measurement noise. In this work, we present a new evaluation approach, which exploits the diversity of Fourier space to not only speed up the calculation by a factor of 1000 but also move away from the conventional smoothing factor toward real field resolution. By comparing the baseline resolution of the new and the old algorithm, we are able to deduce an analytical equation that converts the smoothing factor into field resolution, making the old and new algorithm comparable. We find excellent agreement not only for various systems of increasing complexity but also over a large range of smoothing factors. The achieved speedup enables us to calculate a large number of first-order reversal-curve diagrams with increasing smoothing factor allowing for an autocorrelation approach to find a hard criterion for the optimum smoothing factor. This previously computational prohibitive evaluation of first-order reversal-curves solves the problem of over- and undersmoothing by increasing general readability and preventing information destruction.
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Physical Intelligence Modern Magnetic Systems Article Incorporation of terbium into a microalga leads to magnetotactic swimmers Santomauro, G., Singh, A., Park, B. W., Mohammadrahimi, M., Erkoc, P., Goering, E., Schütz, G., Sitti, M., Bill, J. Advanced Biosystems, 2(12):1800039, 2018 BibTeX

Modern Magnetic Systems Article 3d nanofabrication of high-resolution multilayer Fresnel zone plates Sanli, U. T., Jiao, C., Baluktsian, M., Grévent, C., Hahn, K., Wang, Y., Srot, V., Richter, G., Bykova, I., Weigand, M., Schütz, G., Keskinbora, K. {Advanced Science}, 5(9), Wiley-VCH, Weinheim, 2018 DOI BibTeX

Modern Magnetic Systems Article Assessment methodology of promising porous materials for near ambient temperature hydrogen storage applications Minuto, F. D., Balderas-Xicohténcatl, R., Policicchio, A., Hirscher, M., Agostino, R. G. {International Journal of Hydrogen Energy}, 43(31):14550-14556, Elsevier, Amsterdam, 2018 DOI BibTeX

Modern Magnetic Systems Article Current-induced skyrmion generation through morphological thermal transitions in chiral ferromagnetic heterostructures Lemesh, I., Litzius, K., Böttcher, M., Bassirian, P., Kerber, N., Heinze, D., Zázvorka, J., Büttner, F., Caretta, L., Mann, M., Weigand, M., Finizio, S., Raabe, J., Im, M., Stoll, H., Schütz, G., Dupé, B., Kläui, M., Beach, G. S. D. {Advanced Materials}, 30(49), Wiley-VCH, Weinheim, 2018 DOI BibTeX

Modern Magnetic Systems Article Deterministic creation and deletion of a single magnetic skyrmion observed by direct time-resolved X-ray microscopy Woo, S., Song, K. M., Zhang, X., Ezawa, M., Zhou, Y., Liu, X., Weigand, M., Finizio, S., Raabe, J., Park, M., Lee, K., Choi, J. W., Min, B., Koo, H. C., Chang, J. {Nature Electronics}, 1(5):288-296, Springer Nature, London, 2018 DOI BibTeX

Modern Magnetic Systems Article Direct observation of Zhang-Li torque expansion of magnetic droplet solitons Chung, S., Tuan Le, Q., Ahlberg, M., Awad, A. A., Weigand, M., Bykova, I., Khymyn, R., Dvornik, M., Mazraati, H., Houshang, A., Jiang, S., Nguyen, T. N. A., Goering, E., Schütz, G., Gräfe, J., Åkerman, J. {Physical Review Letters}, 120(21), American Physical Society, Woodbury, N.Y., 2018
Magnetic droplets are nontopological dynamical solitons that can be nucleated in nanocontact based spin torque nano-oscillators (STNOs) with perpendicular magnetic anisotropy free layers. While theory predicts that the droplet should be of the same size as the nanocontact, its inherent drift instability has thwarted attempts at observing it directly using microscopy techniques. Here, we demonstrate highly stable magnetic droplets in all-perpendicular STNOs and present the first detailed droplet images using scanning transmission X-ray microscopy. In contrast to theoretical predictions, we find that the droplet diameter is about twice as large as the nanocontact. By extending the original droplet theory to properly account for the lateral current spread underneath the nanocontact, we show that the large discrepancy primarily arises from current-in-plane Zhang-Li torque adding an outward pressure on the droplet perimeter. Electrical measurements on droplets nucleated using a reversed current in the antiparallel state corroborate this picture.
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Modern Magnetic Systems Conference Paper Direct observations of sub-100 nm spin wave propagation in magnonic wave-guides Träger, N., Gruszecki, P., Lisiecki, F., Förster, J., Weigand, M., Kuswik, P., Dubowik, J., Schütz, G., Krawczyk, M., Gräfe, J. In 2018 IEEE International Magnetics Conference (INTERMAG 2018), IEEE, Singapore, 2018 DOI BibTeX

Modern Magnetic Systems Article Dynamic Janus metasurfaces in the visible spectral region Yu, P., Li, J., Zhang, S., Jin, Z., Schütz, G., Qiu, C., Hirscher, M., Liu, N. {Nano Letters}, 18(7):4584-4589, American Chemical Society, Washington, DC, 2018 DOI BibTeX

Modern Magnetic Systems Miscellaneous Emission and propagation of multi-dimensional spin waves in anisotropic spin textures Sluka, V., Schneider, T., Gallardo, R. A., Kakay, A., Weigand, M., Warnatz, T., Mattheis, R., Roldan-Molina, A., Landeros, P., Tiberkevich, V., Slavin, A., Schütz, G., Erbe, A., Deac, A., Lindner, J., Raabe, J., Fassbender, J., Wintz, S. 2018 URL BibTeX