English

速水グループ
Hayami Group      

レビュー論文

  1. ♦S. Hayami and H. Kusunose,
    "Unified Description of Electronic Orderings and Cross Correlations by Complete Multipole Representation"
    J. Phys. Soc. Jpn. 93, 072001 (2024)
    JPS Hot Topics 4, 018 (2024)
    Preprint (arXiv:2403.09019, Condensed Matter)

  2. H. Kusunose and ♦S. Hayami,
    "Generalization of microscopic multipoles and cross-correlated phenomena by their orderings"
    J. Phys.: Condens. Matter 34, 464002 (2022)

  3. ♦S. Hayami and Y. Motome,
    "Topological spin crystals by itinerant frustration"
    J. Phys.: Condens. Matter 33, 443001 (2021)
    Preprint (arXiv:2103.10647, Condensed Matter)

  4. C. D. Batista, S.-Z. Lin, ♦S. Hayami, and Y. Kamiya,
    "Frustration and chiral orderings in correlated electron systems"
    Rep. Prog. Phys. 79, 084504 (2016)

解説記事

  1. ♦速水 賢,大岩 陸人, ♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その10:最終回)"
    固体物理 58(7), 357-376 (2023)

  2. ♦速水 賢,大岩 陸人, ♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その9)"
    固体物理 58(1), 11-30 (2023)

  3. ♦速水 賢,♦山家 椋太,
    "磁場方向に敏感なナノスケール磁気スキルミオン結晶の安定化機構"
    固体物理 57(4), 281-291 (2022)

  4. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その8)"
    固体物理 57(3), 181-201 (2022)

  5. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その7)"
    固体物理 56(10), 507-531 (2021)

  6. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その6)"
    固体物理 56(7), 333-353 (2021)

  7. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その5)"
    固体物理 56(4), 171-188 (2021)

  8. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その4)"
    固体物理 56(1), 1-19 (2021)

  9. 楠瀬 博明,♦速水 賢,
    "微視的多極子の一般化と秩序および交差相関物性"
    固体物理 55(11), 523-534 (2020)

  10. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その3)"
    固体物理 55(8), 379-396 (2020)

  11. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その2)"
    固体物理 55(1), 1-11 (2020)

  12. ♦速水 賢,♦八城 愛美,柳 有起,楠瀬 博明,
    "ミクロな多極子による電子物性の表現論 (その1)"
    固体物理 54(3), 131-145 (2019)

  13. ♦速水 賢,楠瀬 博明,求 幸年,
    "遍歴電子系における自発的な空間反転対称性の破れ -非従来型多極子秩序とスピン・バレー分裂,非対角応答-"
    固体物理 50(5), 217-234 (2015)

プレプリント

  1. ♦K. Okigami and ♦S. Hayami,
    "Exploring topological spin order by inverse Hamiltonian design: A new stabilization mechanism for square skyrmion crystals"
    Preprint (arXiv:2407.01159, Condensed Matter)

  2. H. Kusunose and ♦S. Hayami,
    "Toroidal orders and related phenomena in nonmagnetic and magnetic materials"
    Preprint (arXiv:2403.09492, Condensed Matter)

  3. ♦R. Yambe and ♦S. Hayami,
    "Dynamical generation of skyrmion and bimeron crystals by a circularly polarized electric field in frustrated magnets"
    Preprint (arXiv:2403.06118, Condensed Matter)

  4. M. Gen, Y. Fujishiro, ♦K. Okigami, ♦S. Hayami, K. Adachi, D. Hashizume, T. Kurumaji, H. Sagayama, H. Nakao, Y. Tokura, T.-h. Arima,
    "Incommensurate broken-helix and broken-fanlike states in axion insulator candidate EuIn2As2"
    Preprint (arXiv:2403.03022, Condensed Matter)

  5. Y. Dong, Y. Kinoshita, M. Ochi, R. Nakachi, R. Higashinaka, ♦S. Hayami, Y. Wan, Y. Arai, S. Huh, M. Hashimoto, D. Lu, M. Tokunaga, Y. Aoki, T. D. Matsuda, and T. Kondo,
    "Magnetic-domain-dependent pseudogap induced by Fermi surface nesting in a centrosymmetric skyrmion magnet"
    Preprint (arXiv:2307.08000, Condensed Matter)

出版論文

  1. ♦S. Hayami,
    "Cluster Odd-Parity Multipoles by Staggered Orbital Ordering in Locally Noncentrosymmetric Crystals"
    Crystals 14, 632 (2024)

  2. ♦S. Hayami,
    "Anisotropic skyrmion crystal on a centrosymmetric square lattice under an in-plane magnetic field"
    J. Magn. Magn. Mater. 604, 172293 (2024)
    Preprint (arXiv:2312.01542, Condensed Matter)

  3. ♦S. Hayami,
    "Spin-Orbit Coupling Free Nonlinear Spin Hall Effect in a Triangle-Unit Collinear Antiferromagnet with Magnetic Toroidal Dipole"
    J. Low Power Electron. Appl. 14, 35 (2024)

  4. ♦S. Hayami,
    "Double-Q and quadruple-Q instabilities at low-symmetric ordering wave vectors under tetragonal symmetry"
    Phys. Rev. B 110, 014404 (2024)
    Preprint (arXiv:2402.11721, Condensed Matter)

  5. ♦S. Hayami,
    "Effect of external fields and currents on electronic nematic ordering with quadrupole moments"
    J. Magn. Magn. Mater. 604, 172274 (2024)
    Preprint (arXiv:2311.16393, Condensed Matter)

  6. ♦S. Hayami,
    "Linear and nonlinear spin-current generation in polar collinear antiferromagnets without relativistic spin-orbit coupling"
    Phys. Rev. B 109, 214431 (2024)

  7. J. Spethmann, N. D. Khanh, H. Yoshimochi, R. Takagi, ♦S. Hayami, Y. Motome, R. Wiesendanger, S. Seki, K. von Bergmann,
    "SP-STM study of the multi-Q phases in GdRu2Si2"
    Phys. Rev. Mater. 8, 064404 (2024)
    Preprint (arXiv:2405.18026, Condensed Matter)

  8. ♦A. Inda, R. Oiwa, ♦S. Hayami, H. M. Yamamoto, and H. Kusunose,
    "Quantification of chirality based on electric toroidal monopole"
    J. Chem. Phys. 160, 184117 (2024)
    Preprint (arXiv:2402.13611, Condensed Matter)

  9. ♦A. Inda and ♦S. Hayami,
    "Magnetic instability under ferroaxial moment"
    Phys. Rev. B 109, 174424 (2024)
    Preprint (arXiv:2312.02444, Condensed Matter)

  10. ♦S. Hayami,
    "Field-induced transformation between triangular and square skyrmion crystals in a tetragonal polar magnet"
    Phys. Rev. B 109, 184419 (2024)
    Preprint (arXiv:2312.15587, Condensed Matter)

  11. ♦A. Kirikoshi and ♦S. Hayami,
    "Classification of Multi-Orbital Superconducting State based on Augmented Multipoles"
    Phys. Rev. B 109, 174510 (2024)
    Preprint (arXiv:2312.02410, Condensed Matter)

  12. H. Yoshimochi, R. Takagi, J. Ju, N. D. Khanh, H. Saito, H. Sagayama, H. Nakao, S. Itoh, Y. Tokura, T. Arima, ♦S. Hayami, T. Nakajima, and S. Seki,
    "Multistep topological transitions among meron and skyrmion crystals in a centrosymmetric magnet"
    Nat. Phys. 20, 1001–1008 (2024)
    News & Views "Metamorphosis of topological spin structures"
    Preprint (arXiv:2402.13751, Condensed Matter)

  13. ♦S. Hayami,
    "Effect of in-plane magnetic field on skyrmions in a centrosymmetric triangular-lattice system with symmetric anisotropic exchange interaction"
    Magnetism 4, 54-72 (2024)

  14. ♦S. Hayami, ♦R. Yambe, and H. Kusunose,
    "Analysis of Photo-Induced Chirality and Magnetic Toroidal Moment Based on Floquet Formalism"
    J. Phys. Soc. Jpn. 93, 043702 (2024)
    Preprint (arXiv:2312.07735, Condensed Matter)

  15. ♦R. Yambe and ♦S. Hayami,
    "Scalar spin chirality induced by a circularly polarized electric field in a classical kagome magnet"
    Phys. Rev. B 109, 064428 (2024)
    Preprint (arXiv:2312.15891, Condensed Matter)

  16. ♦S. Hayami,
    "Hybrid skyrmion and anti-skyrmion phases in polar C4v systems"
    Phys. Rev. B 109, 054422 (2024)
    Preprint (arXiv:2401.04245, Condensed Matter)

  17. ♦S. Hayami,
    "Three-sublattice antiferro-type and ferri-type skyrmion crystals in magnets without the Dzyaloshinskii-Moriya interaction"
    Phys. Rev. B 109, 014415 (2024)
    Preprint (arXiv:2310.10834, Condensed Matter)

  18. D. Singh, Y. Fujishiro, ♦S. Hayami, S. H. Moody, T. Nomoto, P. R. Baral, V. Ukleev, R. Cubitt, N.-J. Steinke, D. J. Gawryluk, E. Pomjakushina, Y. Onuki, R. Arita, Y. Tokura, N. Kanazawa, and J. S. White,
    "Transition between distinct hybrid skyrmion textures through their hexagonal-to-square crystal transformation in a polar magnet"
    Nat. Commun. 14, 8050 (2023)

  19. ♦S. Hayami and K. Hattori,
    "Multiple-q Dipole-Quadrupole Instability in Spin-1 Triangular-Lattice Systems"
    J. Phys. Soc. Jpn. 92, 124709 (2023)
    Preprint (arXiv:2304.00681, Condensed Matter)

  20. ♦A. Kirikoshi and ♦S. Hayami,
    "Rotational Response Induced by Electric Toroidal Dipole"
    J. Phys. Soc. Jpn. 92, 123703 (2023)
    Preprint (arXiv:2310.15666, Condensed Matter)

  21. ♦S. Hayami and H. Kusunose,
    "Chiral Charge as Hidden Order Parameter in URu2Si2"
    J. Phys. Soc. Jpn. 92, 113704 (2023) [selected in Papers of Editors' Choice]
    JPS Hot Topics 4, 001 (2024)
    Preprint (arXiv:2304.02120, Condensed Matter)

  22. ♦S. Hayami and H. Kusunose,
    "Time-reversal switching responses in antiferromagnets"
    Phys. Rev. B 108, L140409 (2023)
    Preprint (arXiv:2306.04017, Condensed Matter)

  23. ♦S. Hayami,
    "Uniform and staggered electric axial moment in a zigzag chain"
    Phys. Rev. B 108, 094106 (2023)
    Preprint (arXiv:2307.09686, Condensed Matter)

  24. ♦S. Hayami,
    "Chern insulating state with double-Q ordering wave vectors at the Brillouin zone boundary"
    Phys. Rev. B 108, 094416 (2023)
    Preprint (arXiv:2306.15854, Condensed Matter)

  25. ♦S. Hayami,
    "Checkerboard bubble lattice formed by octuple-period quadruple-Q spin density waves"
    Phys. Rev. B 108, 094415 (2023)
    Preprint (arXiv:2307.10444, Condensed Matter)

  26. ♦S. Hayami, R. Oiwa, and H. Kusunose,
    "Unconventional Hall effect and magnetoresistance induced by metallic ferroaxial ordering"
    Phys. Rev. B 108, 085124 (2023)
    Preprint (arXiv:2306.12614, Condensed Matter)

  27. ♦R. Yambe and ♦S. Hayami,
    "Symmetry analysis of light-induced magnetic interactions via Floquet engineering"
    Phys. Rev. B 108, 064420 (2023)
    Preprint (arXiv:2303.14627, Condensed Matter)

  28. ♦S. Hayami and Y. Kato,
    "Magnetic bubble crystal in tetragonal magnets"
    Phys. Rev. B 108, 024426 (2023)
    Preprint (arXiv:2305.08333, Condensed Matter)

  29. ♦S. Hayami,
    "Antiferro Skyrmion Crystal Phases in a Synthetic Bilayer Antiferromagnet under an In-Plane Magnetic Field"
    J. Phys. Soc. Jpn. 92, 084702 (2023)
    Preprint (arXiv:2306.06882, Condensed Matter)

  30. ♦S. Hayami and ♦R. Yambe,
    "Field direction dependent skyrmion crystals in noncentrosymmetric cubic magnets: A comparison between point groups (O,T) and Td"
    Phys. Rev. B 107, 174435 (2023)
    Preprint (arXiv:2305.14619, Condensed Matter)

  31. H. Kusunose, R. Oiwa, and ♦S. Hayami,
    "Symmetry-adapted modeling for molecules and crystals"
    Phys. Rev. B 107, 195118 (2023)
    Preprint (arXiv:2303.11033, Condensed Matter)

  32. ♦R. Yambe and ♦S. Hayami,
    "Anisotropic spin model and multiple-Q states in cubic systems"
    Phys. Rev. B 107, 174408 (2023)
    Preprint (arXiv:2301.12629, Condensed Matter)

  33. ♦A. Kirikoshi and ♦S. Hayami,
    "Microscopic mechanism for intrinsic nonlinear anomalous Hall conductivity in noncollinear antiferromagnetic metals"
    Phys. Rev. B 107, 155109 (2023)
    Preprint (arXiv:2211.06817, Condensed Matter)

  34. ♦A. Inda and ♦S. Hayami,
    "Nonlinear Transverse Magnetic Susceptibility under Electric Toroidal Dipole Ordering"
    J. Phys. Soc. Jpn. 92, 043701 (2023)
    Preprint (arXiv:2212.13018, Condensed Matter)

  35. ♦S. Hayami, S. Tsutsui, H. Hanate, N. Nagasawa, Y. Yoda, and K. Matsuhira,
    "Cluster Toroidal Multipoles Formed by Electric-Quadrupole and Magnetic-Octupole Trimers: A Possible Scenario for Hidden Orders in Ca5Ir3O12"
    J. Phys. Soc. Jpn. 92, 033702 (2023)
    Preprint (arXiv:2302.03818, Condensed Matter)

  36. ♦S. Hayami and Y. Kato,
    "Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets"
    J. Magn. Magn. Mater. 571, 170547 (2023)
    Preprint (arXiv:2209.01810, Condensed Matter)

  37. ♦S. Hayami,
    "Multiple-Q instability under fourth-order inplane single-ion anisotropy"
    J. Magn. Magn. Mater. 570, 170507 (2023)

  38. ♦R. Yambe and ♦S. Hayami,
    "Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet"
    Phys. Rev. B 107, 014417 (2023)
    Preprint (arXiv:2208.05115, Condensed Matter)

  39. ♦S. Hayami,
    "Stacking-dependent nonreciprocal transport in magnetic skyrmions"
    J. Magn. Magn. Mater. 568, 170420 (2023)
    Preprint (arXiv:2301.07938, Condensed Matter)

  40. ♦S. Hayami,
    "Orthorhombic distortion and rectangular skyrmion crystal in a centrosymmetric tetragonal host"
    J. Phys.: Mater. 6, 014006 (2023)

  41. ♦R. Yambe and ♦S. Hayami,
    "Effective spin model in momentum space: Toward a systematic understanding of multiple-Q instability by momentum-resolved anisotropic exchange interactions"
    Phys. Rev. B 106, 174437 (2022)
    Preprint (arXiv:2202.09744, Condensed Matter)

  42. ♦S. Hayami and H. Kusunose,
    "Magnetic Toroidal Moment under Partial Magnetic Order in Hexagonal Zigzag-Chain Compound Ce3TiBi5"
    J. Phys. Soc. Jpn. 91, 123701 (2022)
    Preprint (arXiv:2208.01754, Condensed Matter)

  43. ♦S. Hayami,
    "Zero-field skyrmion, meron, and vortex crystals in centrosymmetric hexagonal magnets"
    J. Magn. Magn. Mater. 564, 170036 (2022)

  44. K. Kobayashi and ♦S. Hayami,
    "Skyrmion and vortex crystals in the Hubbard model"
    Phys. Rev. B 106, L140406 (2022)
    Preprint (arXiv:2208.02110, Condensed Matter)

  45. ♦S. Hayami, R. Oiwa, and H. Kusunose,
    "Electric Ferro-Axial Moment as Nanometric Rotator and Source of Longitudinal Spin Current"
    J. Phys. Soc. Jpn. 91, 113702 (2022) [selected in Most Cited Articles in 2023 from Vol. 91 (2022), selected in Papers of Editors' Choice]
    JPS Hot Topics 2, 043 (2022)
    Preprint (arXiv:2111.10519, Condensed Matter)

  46. ♦S. Hayami,
    "Ferroaxial moment induced by vortex spin texture"
    Phys. Rev. B 106, 144402 (2022)[selected in Editors' Suggestion]
    Preprint (arXiv:2209.10657, Condensed Matter)

  47. ♦K. Okigami, ♦R. Yambe, and ♦S. Hayami,
    "Engineering a Skyrmion Crystal in Ferromagnetic/Antiferromagnetic Bilayers Based on Magnetic Frustration Mechanism"
    J. Phys. Soc. Jpn. 91, 103701 (2022)
    Preprint (arXiv:2207.07375, Condensed Matter)

  48. ♦M. Yatsushiro and ♦S. Hayami,
    "Mean-field Study of Antiferromagnetic and Antiferroquadrupolar Orderings in Tetragonal CeCoSi"
    J. Phys. Soc. Jpn. 91, 104701 (2022)
    Preprint (arXiv:2205.11272, Condensed Matter)

  49. ♦S. Hayami and ♦M. Yatsushiro,
    "Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization"
    J. Phys. Soc. Jpn. 91, 094704 (2022)
    Preprint (arXiv:2207.11420, Condensed Matter)

  50. S. Okumura, ♦S. Hayami, Y. Kato, and Y. Motome,
    "Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal"
    J. Phys. Soc. Jpn. 91, 093702 (2022)
    Preprint (arXiv:2206.03042, Condensed Matter)

  51. ♦S. Hayami,
    "Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets"
    J. Phys. Soc. Jpn. 91, 093701 (2022)
    Preprint (arXiv:2207.05862, Condensed Matter)

  52. ♦S. Hayami and ♦M. Yatsushiro,
    "Nonlinear nonreciprocal transport in antiferromagnets free from spin-orbit coupling"
    Phys. Rev. B 106, 014420 (2022)[selected in Editors' Suggestion]
    Preprint (arXiv:2207.05857, Condensed Matter)

  53. ♦S. Hayami, ♦M. Yatsushiro, and H. Kusunose,
    "Nonlinear spin Hall effect in PT-symmetric collinear magnets"
    Phys. Rev. B 106, 024405 (2022)
    Preprint (arXiv:2203.03754, Condensed Matter)

  54. ♦S. Hayami,
    "Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers"
    J. Phys.: Condens. Matter 34, 365802 (2022)
    Preprint (arXiv:2206.09614, Condensed Matter)

  55. ♦S. Hayami and ♦R. Yambe,
    "Skyrmion crystal under D3h point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction"
    Phys. Rev. B 105, 224423 (2022)
    Preprint (arXiv:2206.09060, Condensed Matter)

  56. ♦S. Hayami,
    "Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis"
    Phys. Rev. B 105, 224411 (2022)
    Preprint (arXiv:2206.04163, Condensed Matter)

  57. J. Nasu and ♦S. Hayami,
    "Antisymmetric Thermopolarization by Electric Toroidicity"
    Phys. Rev. B 105, 245125 (2022)
    Preprint (arXiv:2112.06387, Condensed Matter)

  58. ♦S. Hayami,
    "Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy"
    Phys. Rev. B 105, 174437 (2022)
    Preprint (arXiv:2205.09236, Condensed Matter)

  59. ♦S. Hayami,
    "Multifarious skyrmion phases on a trilayer triangular lattice"
    Phys. Rev. B 105, 184426 (2022)
    Preprint (arXiv:2205.08004, Condensed Matter)

  60. ♦S. Hayami and ♦M. Yatsushiro,
    "Spin Conductivity Based on Magnetic Toroidal Quadrupole Hidden in Antiferromagnets"
    J. Phys. Soc. Jpn. 91, 063702 (2022)
    Preprint (arXiv:2204.07326, Condensed Matter)

  61. ♦M. Yatsushiro, R. Oiwa, H. Kusunose, and ♦S. Hayami,
    "Analysis of model-parameter dependences on the second-order nonlinear conductivity in PT-symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains"
    Phys. Rev. B 105, 155157 (2022)
    Preprint (arXiv:2109.14132, Condensed Matter)

  62. R. Takagi, N. Matsuyama, V. Ukleev, L. Yu, J. S. White, S. Francoual, J. R. L. Mardegan, ♦S. Hayami, H. Saito, K. Kaneko, K. Ohishi, Y. Onuki, T. Arima, Y. Tokura, T. Nakajima, and S. Seki,
    "Square and rhombic lattices of magnetic skyrmions in a centrosymmetric binary compound"
    Nat. Commun. 13, 1472 (2022)

  63. ♦S. Hayami and ♦R. Yambe,
    "Helicity locking of a square skyrmion crystal in a centrosymmetric lattice system without vertical mirror symmetry"
    Phys. Rev. B 105, 104428 (2022)
    Preprint (arXiv:2203.08333, Condensed Matter)

  64. ♦S. Hayami,
    "Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy"
    J. Magn. Magn. Mater. 553, 169220 (2022)
    Preprint (arXiv:2202.12964, Condensed Matter)

  65. N. D. Khanh, T. Nakajima, ♦S. Hayami, S. Gao, Y. Yamasaki, H. Sagayama, H. Nakao, R. Takagi, Y. Motome, Y. Tokura, T. Arima, S. Seki,
    "Zoology of Multiple-Q Spin Textures in a Centrosymmetric Tetragonal Magnet with Itinerant Electrons"
    Adv. Sci. 9, 2105452 (2022)
    Preprint (arXiv:2201.06237, Condensed Matter)

  66. ♦S. Hayami,
    "Multiple Skyrmion Crystal Phases by Itinerant Frustration in Centrosymmetric Tetragonal Magnets"
    J. Phys. Soc. Jpn. 91, 023705 (2022) [selected in Most Cited Articles in 2023 from Vol. 91 (2022)]
    Preprint (arXiv:2201.02326, Condensed Matter)

  67. ♦S. Hayami,
    "Mechanism of antisymmetric spin polarization in centrosymmetric multiple-Q magnets based on effective chiral bilinear and biquadratic spin cross products"
    Phys. Rev. B 105, 024413 (2022)
    Preprint (arXiv:2201.01354, Condensed Matter)

  68. ♦S. Hayami,
    "Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction"
    Phys. Rev. B 105, 014408 (2022)
    Preprint (arXiv:2112.07072, Condensed Matter)

  69. ♦S. Hayami and ♦T. Matsumoto,
    "Essential model parameters for nonreciprocal magnons in multisublattice systems"
    Phys. Rev. B 105, 014404 (2022)
    Preprint (arXiv:2112.07071, Condensed Matter)

  70. Y. Kato, ♦S. Hayami and Y. Motome,
    "Spin excitation spectra in helimagnetic states: Proper-screw, cycloid, vortex crystal, and hedgehog lattice"
    Phys. Rev. B 104, 224405 (2021)
    Preprint (arXiv:2109.05628, Condensed Matter)

  71. ♦S. Hayami and ♦R. Yambe,
    "Locking of skyrmion cores on a centrosymmetric discrete lattice: Onsite versus offsite"
    Phys. Rev. Research 3, 043158 (2021)
    Preprint (arXiv:2107.03500, Condensed Matter)

  72. ♦S. Hayami, T. Okubo, and Y. Motome,
    "Phase Shift in Skyrmion Crystals"
    Nat. Commun. 12, 6927 (2021)
    Preprint (arXiv:2005.03168, Condensed Matter)

  73. ♦S. Hayami,
    "Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets"
    New J. Phys. 23, 113032 (2021)
    Preprint (arXiv:2111.03202, Condensed Matter)

  74. ♦T. Matsumoto and ♦S. Hayami,
    "Nonreciprocal magnon excitations by the Dzyaloshinskii-Moriya interaction on the basis of bond magnetic toroidal multipoles"
    Phys. Rev. B 104, 134420 (2021)
    Preprint (arXiv:2107.12743, Condensed Matter)

  75. ♦S. Hayami and Y. Motome,
    "Charge density waves in multiple-Q spin states"
    Phys. Rev. B 104, 144404 (2021)
    Preprint (arXiv:2108.04997, Condensed Matter)

  76. ♦S. Hayami and ♦R. Yambe,
    "Meron-antimeron crystals in noncentrosymmetric itinerant magnets on a triangular lattice"
    Phys. Rev. B 104, 094425 (2021)
    Preprint (arXiv:2107.03501, Condensed Matter)

  77. ♦M. Yatsushiro, H. Kusunose, and ♦S. Hayami,
    "Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena"
    Phys. Rev. B 104, 054412 (2021)
    Preprint (arXiv:2105.12890, Condensed Matter)

  78. ♦S. Hayami and H. Kusunose,
    "Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering"
    Phys. Rev. B 104, 045117 (2021)
    Preprint (arXiv:2105.09444, Condensed Matter)

  79. ♦S. Hayami,
    "In-plane magnetic field-induced skyrmion crystal in frustrated magnets with easy-plane anisotropy"
    Phys. Rev. B 103, 224418 (2021)

  80. ♦S. Hayami and ♦R. Yambe,
    "Field-Direction Sensitive Skyrmion Crystals in Cubic Chiral Systems: Implication to 4f-Electron Compound EuPtSi"
    J. Phys. Soc. Jpn. 90, 073705 (2021) [selected in Most Cited Articles in 2022 from Vol. 90 (2021), selected in Papers of Editors' Choice]
    JPS Hot Topics 1, 048 (2021)
    Preprint (arXiv:2106.00113, Condensed Matter)

  81. ♦R. Yambe and ♦S. Hayami,
    "Skyrmion crystals in centrosymmetric itinerant magnets without horizontal mirror plane"
    Sci. Rep. 11, 11184 (2021)

  82. ♦S. Hayami and H. Kusunose,
    "Essential role of anisotropic magnetic dipole in anomalous Hall effect"
    Phys. Rev. B 103, L180407 (2021)
    Preprint (arXiv:2104.07964, Condensed Matter)

  83. ♦S. Hayami,
    "Electronic Nematic Ordering Driven by Atomic-scale Multipoles"
    JPS Hot Topics 1, 035 (2021)

  84. ♦S. Hayami,
    "Rich Electronic Nematic Orderings Realized by Atomic-scale Electric Quadrupoles"
    JPSJ News Comments 18, 06 (2021)

  85. H. Hanate, T. Hasegawa, ♦S. Hayami, S. Tsutsui, S. Kawano, and K. Matsuhira,
    "First Observation of Superlattice Reflections in the Hidden Order at 105 K of Spin-Orbit Coupled Iridium Oxide Ca5Ir3O12"
    J. Phys. Soc. Jpn. 90, 063702 (2021) [selected in Most Cited Articles in 2022 from Vol. 90 (2021), selected in Papers of Editors' Choice]
    JPS Hot Topics 1, 042 (2021)

  86. S. Seo, ♦S. Hayami, Y. Su, S. M. Thomas, F. Ronning, E. D. Bauer, J. D. Thompson, S.-Z. Lin, and P. F. S. Rosa,
    "Spin-texture-driven electrical transport in multi-Q antiferromagnets"
    Commun. Phys. 4, 58 (2021)

  87. M. Hirschberger, ♦S. Hayami, and Y. Tokura,
    "Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host"
    New J. Phys. 23, 023039 (2021)

  88. ♦S. Hayami and Y. Motome,
    "Noncoplanar multiple-Q spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy"
    Phys. Rev. B 103, 054422 (2021)
    Preprint (arXiv:2011.13040, Condensed Matter)

  89. ♦S. Hayami and Y. Motome,
    "Square skyrmion crystal in centrosymmetric itinerant magnets"
    Phys. Rev. B 103, 024439 (2021)
    Preprint (arXiv:2010.14671, Condensed Matter)

  90. ♦M. Yatsushiro and ♦S. Hayami,
    "NQR and NMR spectra in odd-parity multipole material CeCoSi"
    Phys. Rev. B 102, 195147 (2020)
    Preprint (arXiv:2011.06212, Condensed Matter)

  91. Y. Yasui, C. J. Butler, N. D. Khanh, ♦S. Hayami, T. Nomoto, T. Hanaguri, Y. Motome, R. Arita, T.-h. Arima, Y. Tokura, and S. Seki,
    "Imaging the coupling between itinerant electrons and localised moments in the centrosymmetric skyrmion magnet GdRu2Si2"
    Nat. Commun. 11, 5925 (2020)
    Preprint (arXiv:2011.00785, Condensed Matter)

  92. ♦S. Hayami, Y. Yanagi, and H. Kusunose,
    "Bottom-up design of spin-split and reshaped electronic band structures in antiferromagnets without spin-orbit coupling: Procedure on the basis of augmented multipoles"
    Phys. Rev. B 102, 144441 (2020)
    Preprint (arXiv:2008.10815, Condensed Matter)

  93. H. Kusunose, R. Oiwa, and ♦S. Hayami,
    "Complete Multipole Basis Set for Single-Centered Electron Systems"
    J. Phys. Soc. Jpn. 89, 104704 (2020)
    Preprint (arXiv:2007.08039, Condensed Matter)

  94. ♦S. Hayami and ♦R. Yambe,
    "Degeneracy Lifting of Neel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems"
    J. Phys. Soc. Jpn. 89, 103702 (2020)
    Preprint (arXiv:2009.06821, Condensed Matter)

  95. M. Naka, ♦S. Hayami, H. Kusunose, Y. Yanagi, Y. Motome, and H. Seo,
    "Anomalous Hall effect in κ-type organic antiferromagnets"
    Phys. Rev. B 102, 075112 (2020)
    Preprint (arXiv:2004.04578, Condensed Matter)

  96. ♦S. Hayami,
    "Multiple-Q magnetism by anisotropic bilinear-biquadratic interactions in momentum space"
    J. Magn. Magn. Mater. 513, 167181 (2020)

  97. ♦T. Matsumoto and ♦S. Hayami,
    "Nonreciprocal magnons due to symmetric anisotropic exchange interaction in honeycomb antiferromagnets"
    Phys. Rev. B 101, 224419 (2020)
    Preprint (arXiv:2005.13729, Condensed Matter)

  98. ♦S. Hayami, Y. Yanagi, and H. Kusunose,
    "Spontaneous antisymmetric spin splitting in noncollinear antiferromagnets without spin-orbit coupling"
    Phys. Rev. B 101, 220403(R) (2020)
    Preprint (arXiv:2001.05630, Condensed Matter)

  99. S. Okumura, ♦S. Hayami, Y. Kato, and Y. Motome,
    "Magnetic hedgehog lattices in noncentrosymmetric metals"
    Phys. Rev. B 101, 144416 (2020)
    Preprint (arXiv:1908.05044, Condensed Matter)

  100. Y. Su, ♦S. Hayami, and S.-Z. Lin,
    "Dimension transcendence and anomalous charge transport in magnets with moving multiple-Q spin textures"
    Phys. Rev. Research 2, 013160 (2020)
    Preprint (arXiv:1904.05473, Condensed Matter)

  101. ♦M. Yatsushiro and ♦S. Hayami,
    "Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi"
    J. Phys. Soc. Jpn. 89, 013703 (2020)
    Preprint (arXiv:1912.02422, Condensed Matter)

  102. ♦R. Yambe and ♦S. Hayami,
    "Double-Q Chiral Stripe in the d–p Model with Strong Spin–Charge Coupling"
    J. Phys. Soc. Jpn. 89, 013702 (2020)
    Preprint (arXiv:1912.03906, Condensed Matter)

  103. ♦S. Hayami, Y. Yanagi, and H. Kusunose,
    "Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering"
    J. Phys. Soc. Jpn. 88, 123702 (2019)
    Preprint (arXiv:1908.08680, Condensed Matter)

  104. M. Naka, ♦S. Hayami, H. Kusunose, Y. Yanagi, Y. Motome, and H. Seo,
    "Spin current generation in organic antiferromagnets"
    Nat. Commun. 10, 4305 (2019) [selected in Editors' Highlights]
    Preprint (arXiv:1902.02506, Condensed Matter)

  105. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Magnetic Vortex Induced by Nonmagnetic Impurity in Ferromagnets: Magnetic Multipole and Toroidal around the Vacancy"
    J. Phys. Soc. Jpn. 88, 063702 (2019)
    Preprint (arXiv:1905.07669, Condensed Matter)

  106. M.-T. Suzuki, T. Nomoto, R. Arita, Y. Yanagi, ♦S. Hayami, and H. Kusunose,
    "Multipole expansion for magnetic structures: A generation scheme for symmetry-adapted orthonormal basis set in crystallographic point group"
    Phys. Rev. B 99, 174407 (2019) [selected in Editors' Suggestion]
    Preprint (arXiv:1902.10819, Condensed Matter)

  107. ♦M. Yatsushiro and ♦S. Hayami,
    "Atomic-Scale Magnetic Toroidal Dipole under Odd-Parity Hybridization"
    J. Phys. Soc. Jpn. 88, 054708 (2019)
    Preprint (arXiv:1903.04708, Condensed Matter)

  108. ♦S. Hayami, Y. Yanagi, H. Kusunose, and Y. Motome,
    "Electric Toroidal Quadrupoles in Spin-Orbit-Coupled Metal Cd2Re2O7"
    Phys. Rev. Lett. 122, 147602 (2019) [selected as Cover image and PDF FILE]
    Preprint (arXiv:1812.01249, Condensed Matter)

  109. ♦S. Hayami and Y. Motome,
    "Effect of magnetic anisotropy on Skyrmions with a high topological number in itinerant magnets"
    Phys. Rev. B 99, 094420 (2019)
    Preprint (arXiv:1811.11336, Condensed Matter)

  110. R. Takagi, J. S. White, ♦S. Hayami, R. Arita, D. Honecker, H. M. Rønnow, Y. Tokura, and S. Seki,
    "Multiple-q noncollinear magnetism in an itinerant hexagonal magnet"
    Sci. Adv. 4, eaau3402 (2018)

  111. ♦S. Hayami, ♦M. Yatsushiro, Y. Yanagi, and H. Kusunose,
    "Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors"
    Phys. Rev. B 98, 165110 (2018) [selected in Editors' Suggestion]
    Preprint (arXiv:1806.01964, Condensed Matter)

  112. ♦S. Hayami and Y. Motome,
    "Néel- and Bloch-Type Magnetic Vortices in Rashba Metals"
    Phys. Rev. Lett. 121, 137202 (2018) [selected as Cover image and PDF FILE]
    Preprint (arXiv:1803.01543, Condensed Matter)

  113. ♦S. Hayami and H. Kusunose,
    "Microscopic Description of Electric and Magnetic Toroidal Multipoles in Hybrid Orbitals"
    J. Phys. Soc. Jpn. 87, 033709 (2018) [selected in Most Cited Articles in 2019 from Vol. 87 (2018), selected in 第27回日本物理学会論文賞]
    Preprint (arXiv:1712.02927, Condensed Matter)

  114. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: implication to 5d transition metal oxides AOsO4 (A= K, Rb, and Cs)"
    Phys. Rev. B 97, 024414 (2018)
    Preprint (arXiv:1711.09507, Condensed Matter)

  115. Y. Yanagi, ♦S. Hayami, and H. Kusunose,
    "Manipulating magnetoelectric effect -- Essence learned from Co4Nb2O9"
    Phys. Rev. B 97, 020404 (2018)
    Preprint (arXiv:1712.03918, Condensed Matter)

  116. R. Ozawa, ♦S. Hayami, K. Barros, and Y. Motome,
    "Shape of magnetic domain walls formed by coupling to mobile charges"
    Phys. Rev. B 96, 094417 (2017)
    Preprint (arXiv:1609.07189, Condensed Matter)

  117. ♦S. Hayami, R. Ozawa, and Y. Motome,
    "Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets"
    Phys. Rev. B 95, 224424 (2017), erratum [selected in Kaleidoscopes]
    Preprint (arXiv:1703.07690, Condensed Matter)

  118. R. Ozawa, ♦S. Hayami, and Y. Motome,
    "Zero-Field Skyrmions with a High Topological Number in Itinerant Magnets"
    Phys. Rev. Lett. 118, 147205 (2017)
    Preprint (arXiv:1703.03227, Condensed Matter)

  119. ♦S. Hayami, S.-Z. Lin, Y. Kamiya, and C. D. Batista,
    "Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities"
    Phys. Rev. B 94, 174420 (2016)
    Preprint (arXiv:1607.07100, Condensed Matter)

  120. R. Ozawa, ♦S. Hayami, K. Barros, G. W. Chern, Y. Motome, and C. D. Batista,
    "Vortex Crystals with Chiral Stripes in Itinerant Magnets"
    J. Phys. Soc. Jpn. 85, 103703 (2016)
    Preprint (arXiv:1510.06830, Condensed Matter)

  121. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Emergent spin-valley-orbital physics by spontaneous parity breaking"
    J. Phys.: Condens. Matter 28, 395601 (2016)
    Preprint (arXiv:1607.05782, Condensed Matter)

  122. ♦S. Hayami, R. Ozawa, and Y. Motome,
    "Engineering chiral density waves and topological band structures by multiple-Q superpositions of collinear up-up-down-down orders"
    Phys. Rev. B 94, 024424 (2016)
    Preprint (arXiv:1603.06646, Condensed Matter)

  123. ♦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)
    Preprint (arXiv:1601.02064, Condensed Matter)

  124. S.-Z. Lin, ♦S. Hayami, and C. D. Batista,
    "Magnetic Vortex Induced by Nonmagnetic Impurity in Frustrated Magnets"
    Phys. Rev. Lett. 116, 187202 (2016)

  125. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Asymmetric Magnon Excitation by Spontaneous Toroidal Ordering"
    J. Phys. Soc. Jpn. 85, 053705 (2016)
    Preprint (arXiv:1508.05627, Condensed Matter)

  126. S.-Z. Lin and ♦S. Hayami,
    "Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions"
    Phys. Rev. B 93, 064430 (2016)
    Preprint (arXiv:1512.05012, Condensed Matter)

  127. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Spontaneous multipole ordering by local parity mixing"
    J. Phys. Soc. Jpn. 84, 064717 (2015)
    Preprint (arXiv:1502.00057, Condensed Matter)

  128. ♦S. Hayami and Y. Motome,
    "Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice"
    Phys. Rev. B 91, 075104 (2015)
    Preprint (arXiv:1412.0752, Condensed Matter)

  129. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Spontaneous parity breaking in spin-orbital coupled systems"
    Phys. Rev. B 90, 081115(R) (2014)
    Preprint (arXiv:1406.2093, Condensed Matter)

  130. ♦S. Hayami and Y. Motome,
    "Multiple-Q instability by (d-2)-dimensional connections of Fermi surfaces"
    Phys. Rev. B 90, 060402(R) (2014)
    Preprint (arXiv:1406.3119, Condensed Matter)

  131. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Toroidal order in metals without local inversion symmetry"
    Phys. Rev. B 90, 024432 (2014) [selected in Editors' Suggestion]
    Preprint (arXiv:1404.1156, Condensed Matter)

  132. ♦S. Hayami, T. Misawa, Y. Yamaji, and Y. Motome,
    "Three-dimensional Dirac electrons on a cubic lattice with noncoplanar multiple-Q order"
    Phys. Rev. B 89, 085124 (2014)
    Preprint (arXiv:1305.5031, Condensed Matter)

  133. ♦S. Hayami, M. Udagawa, and Y. Motome,
    "Partial Disorder and Metal-Insulator Transition in the Periodic Anderson Model on a Triangular Lattice"
    J. Phys. Soc. Jpn. 81,103707 (2012)
    Preprint (arXiv:1208.4691, Condensed Matter)

  134. ♦S. Hayami, M. Udagawa, and Y. Motome,
    "Partial Disorder in the Periodic Anderson Model on a Triangular Lattice"
    J. Phys. Soc. Jpn. 80, 073704 (2011)
    Preprint(arxiv:1105.3271, Condensed Matter)

プロシーディングス

  1. ♦S. Hayami,
    "Uniaxial Distortion Effect on Magnetic Skyrmion Crystals in a Frustrated Triangular-Lattice System"
    JPS Conf. Proc. 38, 011153 (2023)

  2. ♦M. Yatsushiro and ♦S. Hayami,
    "Antisymmetric Spin–Orbit Interaction in a Locally Noncentrosymmetric CeFeSi-Type Structure"
    JPS Conf. Proc. 30, 011151 (2020)

  3. ♦S. Hayami, Y. Yanagi, M. Naka, H. Seo, Y. Motome, H. Kusunose,
    "Multipole Description of Emergent Spin–Orbit Interaction in Organic Antiferromagnet 𝜅-(BEDT-TTF)2Cu[N(CN)2]Cl"
    JPS Conf. Proc. 30, 011149 (2020)

  4. S. Okumura, ♦S. Hayami, Y. Kato, and Y. Motome,
    "Tracing Monopoles and Anti-monopoles in a Magnetic Hedgehog Lattice"
    JPS Conf. Proc. 30, 011010 (2020)

  5. ♦S. Hayami and Y. Motome,
    "Multiple-Q Magnetic States in Spin-Orbit Coupled Metals"
    IEEE Transactions on Magnetics 55, 1500107 (2018)

  6. Y. Yanagi, ♦S. Hayami, and H. Kusunose,
    "Theory of magnetoelectric response in Co4Nb2O9"
    Physica B: Condensed Matter 536, 107-110 (2018)

  7. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Mean-field study of correlation-induced antisymmetric spin-orbit coupling in a two-orbital honeycomb model"
    Physica B: Condensed Matter 536, 649-653 (2018)

  8. Y. Sugita, ♦S. Hayami, and Y. Motome,
    "Antisymmetric Spin-Orbit Coupling in a d-p Model on a Zigzag Chain"
    Physics Procedia 75, 419-425 (2015)

  9. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Toroidal order in a partially disordered state on a layered triangular lattice: implication to UNi4B"
    J. Phys.: Conf. Ser. 592, 012101 (2015)
    Preprint (arXiv:1409.3657, Condensed Matter)

  10. ♦S. Hayami, H. Kusunose, and Y. Motome,
    "Quantum spin Hall effect in a two-orbital model on a honeycomb lattice"
    J. Phys.: Conf. Ser. 592, 012131 (2015)
    Preprint (arXiv:1409.2142, Condensed Matter)

  11. ♦S. Hayami, T. Misawa, and Y. Motome,
    "Charge Order with a Noncoplanar Triple-Q Magnetic Order on a Cubic Lattice"
    JPS Conf. Proc. 3, 016016 (2014)
    Preprint (arXiv:1310.1982, Condensed Matter)

  12. ♦S. Hayami, M. Udagawa, and Y. Motome,
    "Carrier doping to a partially disordered state in the periodic Anderson model on a triangular lattice"
    J. Phys.: Conf. Ser. 400, 032018 (2012)
    Preprint (arXiv:1107.4401, Condensed Matter)

プレスリリース、報道

  1. 日本経済新聞 (2024/4/1)
    "東大・理研・北大など、多彩なスピン構造の間のトポロジカル数スイッチングに成功"
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    "多彩なスピン構造の間のトポロジカル数スイッチングに成功 -超高密度な新しい情報担体としての活用に期待-"
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    "凝縮系科学賞"に関する報道
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    "日本物理学会第27回論文賞受賞"
  6. マイナビニュース (2021/12/02)
    "東大など、「トポロジカルスピン結晶」の新たな制御法を発見"
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  8. 日刊工業新聞 (2021/12/02)
    "磁気渦結晶に新パターン 東大、トポロジカルスピン結晶で発見"
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    "理研ら、ナノサイズの磁気渦構造を伝導電子に発見"
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    "理研と東大、ナノメートルサイズの磁気渦構造が伝導電子に現れることを発見"
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    "伝導電子に浮かび上がる磁気構造 ~ナノスケールの磁気渦構造をなす新機構への手がかり~"
  14. OPTRONICS ONLINE (2019/09/24)
    "早大ら,水素や炭素でスピン流生成"
  15. 日本経済新聞 (2019/09/20)
    "早大・北大・明大・東北大・東大など、水素や炭素などのありふれた原子からなる有機化合物を使った新しいスピン流生成機構を発見"
  16. 北海道大学、他 プレスリリース
    "水素や炭素などのありふれた原子からなる有機化合物を使った新しいスピン流生成機構を発見"
  17. 北海道大学理化学研究所 プレスリリース
    "磁気渦の新しい生成機構を発見 -磁気渦を情報担体とする磁気記憶素子の実現に期待-"
  18. マイナビニュース (2018/11/25)
    "理研と北大、磁気渦の新しい生成機構を発見"
  19. 北海道大学東京大学大学院工学系研究科 プレスリリース
    "高いトポロジカル数を持つ磁気スキルミオンを発見 -磁場によるトポロジーの多段スイッチングが可能に-"
  20. 日本経済新聞 (2017/04/03)
    "東大、高いトポロジカル数をもつ磁気スキルミオンを発見"
  21. 日経テクノロジーonline (2017/04/04)
    "多段スイッチングを可能とする磁気スキルミオン"
  22. 日刊工業新聞 (2017/04/04)
    "東大、トポロジカル数持つ渦状スピン磁性体を発見"