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      Skyrmion phase and competing magnetic orders on a breathing kagomé lattice

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          Abstract

          Magnetic skyrmion textures are realized mainly in non-centrosymmetric, e.g. chiral or polar, magnets. Extending the field to centrosymmetric bulk materials is a rewarding challenge, where the released helicity/vorticity degree of freedom and higher skyrmion density result in intriguing new properties and enhanced functionality. We report here on the experimental observation of a skyrmion lattice (SkL) phase with large topological Hall effect and an incommensurate helical pitch as small as 2.8 nm in metallic Gd 3Ru 4Al 12, which materializes a breathing kagomé lattice of Gadolinium moments. The magnetic structure of several ordered phases, including the SkL, is determined by resonant x-ray diffraction as well as small angle neutron scattering. The SkL and helical phases are also observed directly using Lorentz-transmission electron microscopy. Among several competing phases, the SkL is promoted over a low-temperature transverse conical state by thermal fluctuations in an intermediate range of magnetic fields.

          Abstract

          Understanding and controlling the skyrmion lattice (SkL) phase facilitates its versatile applications. Here the direct observation of a SkL phase with large topological Hall effect in centrosymmetric Gd 3Ru 4Al 12 is reported, which is stabilized by thermal fluctuations and magnetic field without Dzyaloshinskii-Moriya interactions.

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          Real-space observation of a two-dimensional skyrmion crystal.

          Crystal order is not restricted to the periodic atomic array, but can also be found in electronic systems such as the Wigner crystal or in the form of orbital order, stripe order and magnetic order. In the case of magnetic order, spins align parallel to each other in ferromagnets and antiparallel in antiferromagnets. In other, less conventional, cases, spins can sometimes form highly nontrivial structures called spin textures. Among them is the unusual, topologically stable skyrmion spin texture, in which the spins point in all the directions wrapping a sphere. The skyrmion configuration in a magnetic solid is anticipated to produce unconventional spin-electronic phenomena such as the topological Hall effect. The crystallization of skyrmions as driven by thermal fluctuations has recently been confirmed in a narrow region of the temperature/magnetic field (T-B) phase diagram in neutron scattering studies of the three-dimensional helical magnets MnSi (ref. 17) and Fe(1-x)Co(x)Si (ref. 22). Here we report real-space imaging of a two-dimensional skyrmion lattice in a thin film of Fe(0.5)Co(0.5)Si using Lorentz transmission electron microscopy. With a magnetic field of 50-70 mT applied normal to the film, we observe skyrmions in the form of a hexagonal arrangement of swirling spin textures, with a lattice spacing of 90 nm. The related T-B phase diagram is found to be in good agreement with Monte Carlo simulations. In this two-dimensional case, the skyrmion crystal seems very stable and appears over a wide range of the phase diagram, including near zero temperature. Such a controlled nanometre-scale spin topology in a thin film may be useful in observing unconventional magneto-transport effects.
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            Topological Hall effect in the A phase of MnSi.

            Recent small angle neutron scattering suggests that the spin structure in the A phase of MnSi is a so-called triple-Q state, i.e., a superposition of three helices under 120 degrees. Model calculations indicate that this structure in fact is a lattice of so-called Skyrmions, i.e., a lattice of topologically stable knots in the spin structure. We report a distinct additional contribution to the Hall effect in the temperature and magnetic field range of the proposed Skyrmion lattice, where such a contribution is neither seen nor expected for a normal helical state. Our Hall effect measurements constitute a direct observation of a topologically quantized Berry phase that identifies the spin structure seen in neutron scattering as the proposed Skyrmion lattice.
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              Néel-type skyrmion lattice with confined orientation in the polar magnetic semiconductor GaV4S8.

              Following the early prediction of the skyrmion lattice (SkL)--a periodic array of spin vortices--it has been observed recently in various magnetic crystals mostly with chiral structure. Although non-chiral but polar crystals with Cnv symmetry were identified as ideal SkL hosts in pioneering theoretical studies, this archetype of SkL has remained experimentally unexplored. Here, we report the discovery of a SkL in the polar magnetic semiconductor GaV4S8 with rhombohedral (C3v) symmetry and easy axis anisotropy. The SkL exists over an unusually broad temperature range compared with other bulk crystals and the orientation of the vortices is not controlled by the external magnetic field, but instead confined to the magnetic easy axis. Supporting theory attributes these unique features to a new Néel-type of SkL describable as a superposition of spin cycloids in contrast to the Bloch-type SkL in chiral magnets described in terms of spin helices.
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                Author and article information

                Contributors
                maximilian.hirschberger@riken.jp
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                24 December 2019
                24 December 2019
                2019
                : 10
                : 5831
                Affiliations
                [1 ]GRID grid.474689.0, RIKEN Center for Emergent Matter Science (CEMS), ; Wako, 351-0198 Japan
                [2 ]ISNI 0000 0001 0789 6880, GRID grid.21941.3f, Research and Services Division of Materials Data and Integrated System (MaDIS), , National Institute for Materials Science (NIMS), ; Tsukuba, 305-0047 Japan
                [3 ]ISNI 0000 0004 1754 9200, GRID grid.419082.6, PRESTO, Japan Science and Technology Agency (JST), ; Kawaguchi, 332-0012 Japan
                [4 ]ISNI 0000 0001 2155 959X, GRID grid.410794.f, Institute of Materials Structure Science, High Energy Accelerator Research Organization, ; Tsukuba, Ibaraki 305-0801 Japan
                [5 ]ISNI 0000 0004 1776 6694, GRID grid.472543.3, Neutron Science and Technology Center, , Comprehensive Research Organization for Science and Society (CROSS), ; Tokai, Ibaraki 319-1106 Japan
                [6 ]ISNI 0000 0001 2151 536X, GRID grid.26999.3d, Department of Advanced Materials Science, , University of Tokyo, ; Kashiwa, Chiba 277-8561 Japan
                [7 ]ISNI 0000 0001 2151 536X, GRID grid.26999.3d, Department of Applied Physics and Tokyo College, , University of Tokyo, ; Bunkyo-ku, 113-8656 Japan
                [8 ]ISNI 0000 0001 2151 536X, GRID grid.26999.3d, Present Address: Institute for Solid State Physics, , The University of Tokyo, ; Chiba, 277-8581 Japan
                [9 ]ISNI 0000 0001 2341 2786, GRID grid.116068.8, Present Address: Department of Physics, , Massachusetts Institute of Technology, ; Cambridge, Massachusetts 02139 USA
                Author information
                http://orcid.org/0000-0002-1780-1619
                http://orcid.org/0000-0001-6557-5508
                http://orcid.org/0000-0002-8580-2285
                http://orcid.org/0000-0002-2157-3727
                http://orcid.org/0000-0001-5220-8792
                http://orcid.org/0000-0003-4020-537X
                http://orcid.org/0000-0003-1494-6502
                http://orcid.org/0000-0001-5899-7657
                http://orcid.org/0000-0003-1896-699X
                http://orcid.org/0000-0003-3136-7289
                http://orcid.org/0000-0002-2732-4983
                Article
                13675
                10.1038/s41467-019-13675-4
                6930224
                31874953
                1f0c66fb-8b74-4208-8be4-03cefbc31f63
                © The Author(s) 2019

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 9 April 2019
                : 11 November 2019
                Funding
                Funded by: FundRef https://doi.org/10.13039/501100006699, High Energy Accelerator Research Organization (High Energy Accelerator Research Organization, KEK);
                Award ID: 2015S2-007
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/501100001691, MEXT | Japan Society for the Promotion of Science (JSPS);
                Award ID: 18F18804
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/501100003382, MEXT | JST | Core Research for Evolutional Science and Technology (CREST);
                Award ID: JPMJCR1874
                Award Recipient :
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                © The Author(s) 2019

                Uncategorized
                condensed-matter physics,magnetic properties and materials,topological matter,topological defects

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