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Magnetization-dependent and stacking-tunable Edelstein effect in the two-dimensional magnet 2H−VTe2

Weiyi Pan1,* and Jaroslav Fabian1,2

  • *Contact author: weiyi.pan@physik.uni-regensburg.de
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Phys. Rev. B 114, 125129 – Published 24 August, 2026

DOI: https://doi.org/10.1103/48gx-cpg2

Abstract

The Edelstein effect in magnetic systems enables magnetization switching via the coupling between current-induced spin accumulation and intrinsic magnetic order and is therefore highly promising for next-generation spintronic devices. Realizing and manipulating the Edelstein effect in two-dimensional (2D) magnetic systems is particularly desirable for achieving high-efficiency and multifunctional spintronic applications. In this work, based on first-principles calculations and symmetry analysis, we demonstrate that the Edelstein effect can intrinsically arise in the 2D in-plane ferromagnetic semiconductor 2H−VTe2, with its behavior strongly dependent on the magnetization orientation. For monolayer 2H−VTe2 with D3h crystal symmetry, under an applied current along the +x direction, only the time-reversal-even z component and the time-reversal-odd y(x) component of the spin accumulation are allowed when the magnetization is aligned along +x (+y). For ferromagnetic bilayer 2H−VTe2 in AB or BA stacking, where the crystal symmetry is reduced to C3v, additional spin components emerge with the presence of in-plane magnetization. Specifically, for magnetization along +x (+y), besides dSzeven and dSyodd(dSzeven and dSxodd), extra components such as dSyevenand dSzodd(dSyeven) become allowed. Notably, these additional components can be reversibly switched by changing the stacking configuration from AB to BA via interlayer sliding, which is equivalent to applying a MzT operation. The parity dependence of Edelstein coefficients on the in-plane magnetization is also evaluated. Our results not only deepen the understanding of current-induced spin accumulation in 2D magnetic systems from both symmetry and first-principles perspectives but also identify 2H−MX2 materials as a promising platform for realizing intrinsic and tunable Edelstein effects in high-efficiency spin-orbit torque devices.

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References (82)

  1. S. D. Ganichev, E. Ivchenko, V. Bel'Kov, S. Tarasenko, M. Sollinger, D. Weiss, W. Wegscheider, and W. Prettl, Spin-galvanic effect, Nature (Lond.) 417, 153 (2002).
  2. A. Johansson, Theory of spin and orbital Edelstein effects, J. Phys.: Condens. Matter 36, 423002 (2024).
  3. D. Go, F. Freimuth, J.-P. Hanke, F. Xue, O. Gomonay, K.-J. Lee, S. Blügel, P. M. Haney, H.-W. Lee, and Y. Mokrousov, Theory of current-induced angular momentum transfer dynamics in spin-orbit coupled systems, Phys. Rev. Res. 2, 033401 (2020).
  4. A. Manchon, J. Železný, I. M. Miron, T. Jungwirth, J. Sinova, A. Thiaville, K. Garello, and P. Gambardella, Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems, Rev. Mod. Phys. 91, 035004 (2019).
  5. A. Fert, R. Ramesh, V. Garcia, F. Casanova, and M. Bibes, Electrical control of magnetism by electric field and current-induced torques, Rev. Mod. Phys. 96, 015005 (2024).
  6. Q. Shao, P. Li, L. Liu, H. Yang, S. Fukami, A. Razavi, H. Wu, K. Wang, F. Freimuth, Y. Mokrousov, M. D. Stiles, S. Emori, A. Hoffmann, J. Åkerman, K. Roy, J.-P. Wang, S.-H. Yang, K. Garello, and W. Zhang, Roadmap of spin–orbit torques, IEEE Trans. Magn. 57, 1 (2021).
  7. L. Berger, Exchange interaction between ferromagnetic domain wall and electric current in very thin metallic films, J. Appl. Phys. 55, 1954 (1984).
  8. C. Song, R. Zhang, L. Liao, Y. Zhou, X. Zhou, R. Chen, Y. You, X. Chen, and F. Pan, Spin-orbit torques: Materials, mechanisms, performances, and potential applications, Prog. Mater. Sci. 118, 100761 (2021).
  9. G. Géranton, B. Zimmermann, N. H. Long, P. Mavropoulos, S. Blügel, F. Freimuth, and Y. Mokrousov, Spin-orbit torques and spin accumulation in FePt/Pt and Co/Cu thin films from first principles: The role of impurities, Phys. Rev. B 93, 224420 (2016).
  10. A. Pezo, N. Sebe, A. Manchon, V. Cros, and H. Jaffrès, Anatomy of torques from orbital Rashba textures: The case of Co/Al interfaces, Phys. Rev. B 112, 214426 (2025).
  11. F. Freimuth, S. Blügel, and Y. Mokrousov, Spin-orbit torques in Co/Pt(111) and Mn/W(001) magnetic bilayers from first principles, Phys. Rev. B 90, 174423 (2014).
  12. K. Ando, S. Takahashi, K. Harii, K. Sasage, J. Ieda, S. Maekawa, and E. Saitoh, Electric manipulation of spin relaxation using the spin Hall effect, Phys. Rev. Lett. 101, 036601 (2008).
  13. M. Filianina, J.-P. Hanke, K. Lee, D.-S. Han, S. Jaiswal, A. Rajan, G. Jakob, Y. Mokrousov, and M. Kläui, Electric-field control of spin-orbit torques in perpendicularly magnetized W/CoFeB/MgO films, Phys. Rev. Lett. 124, 217701 (2020).
  14. T.-Y. Chen, H.-I. Chan, W.-B. Liao, and C.-F. Pai, Current-induced spin-orbit torque and field-free switching in Mo-based magnetic heterostructures, Phys. Rev. Appl. 10, 044038 (2018).
  15. M.-H. Nguyen, D. C. Ralph, and R. A. Buhrman, Spin torque study of the spin Hall conductivity and spin diffusion length in platinum thin films with varying resistivity, Phys. Rev. Lett. 116, 126601 (2016).
  16. P. M. Haney, H.-W. Lee, K.-J. Lee, A. Manchon, and M. D. Stiles, Current-induced torques and interfacial spin-orbit coupling, Phys. Rev. B 88, 214417 (2013).
  17. H. Kurebayashi, J. H. Garcia, S. Khan, J. Sinova, and S. Roche, Magnetism, symmetry and spin transport in van der Waals layered systems, Nat. Rev. Phys. 4, 150 (2022).
  18. H. Yang, B. Martín-García, J. Kimák, E. Schmoranzerová, E. Dolan, Z. Chi, M. Gobbi, P. Němec, L. E. Hueso, and F. Casanova, Twist-angle-tunable spin texture in WSe2/graphene van der Waals heterostructures, Nat. Mater. 23, 1502 (2024).
  19. T. Naimer, M. Gmitra, and J. Fabian, Tuning proximity spin-orbit coupling in graphene/NbSe2 heterostructures via twist angle, Phys. Rev. B 109, 205109 (2024).
  20. K. Zollner, S. M. João, B. K. Nikolić, and J. Fabian, Twist- and gate-tunable proximity spin-orbit coupling, spin relaxation anisotropy, and charge-to-spin conversion in heterostructures of graphene and transition metal dichalcogenides, Phys. Rev. B 108, 235166 (2023).
  21. Y. Chen, K. Samanta, N. A. Shahed, H. Zhang, C. Fang, A. Ernst, E. Y. Tsymbal, and S. S. Parkin, Twist-assisted all-antiferromagnetic tunnel junction in the atomic limit, Nature (Lond.) 632, 1045 (2024).
  22. B. Yang, T. Patel, M. Cheng, K. Pichugin, L. Tian, N. Sherlekar, S. Yan, Y. Fu, S. Tian, H. Lei, et al., Macroscopic tunneling probe of moiré spin textures in twisted CrI3, Nat. Commun. 15, 4982 (2024).
  23. Y. Liu, J. Yu, and C.-C. Liu, Twisted magnetic van der Waals bilayers: An ideal platform for altermagnetism, Phys. Rev. Lett. 133, 206702 (2024).
  24. Y. Zhu, M. Gu, Y. Liu, X. Chen, Y. Li, S. Du, and Q. Liu, Sliding ferroelectric control of unconventional magnetism in stacked bilayers, Phys. Rev. Lett. 135, 056801 (2025).
  25. J. Ji, G. Yu, C. Xu, and H. J. Xiang, General theory for bilayer stacking ferroelectricity, Phys. Rev. Lett. 130, 146801 (2023).
  26. B. Pan, P. Zhou, P. Lyu, H. Xiao, X. Yang, and L. Sun, General stacking theory for altermagnetism in bilayer systems, Phys. Rev. Lett. 133, 166701 (2024).
  27. M. Wu and J. Li, Sliding ferroelectricity in 2D van der Waals materials: Related physics and future opportunities, Proc. Natl. Acad. Sci. USA 118, e2115703118 (2021).
  28. H. Jafari, A. Roy, and J. Sławińska, Ferroelectric control of charge-to-spin conversion in WTe2, Phys. Rev. Mater. 6, L091404 (2022).
  29. X. Li, H. Chen, and Q. Niu, Out-of-plane carrier spin in transition-metal dichalcogenides under electric current, Proc. Natl. Acad. Sci. USA 117, 16749 (2020).
  30. W.-Y. Tong, S.-J. Gong, X. Wan, and C.-G. Duan, Concepts of ferrovalley material and anomalous valley Hall effect, Nat. Commun. 7, 13612 (2016).
  31. S.-J. Gong, C. Gong, Y.-Y. Sun, W.-Y. Tong, C.-G. Duan, J.-H. Chu, and X. Zhang, Electrically induced 2D half-metallic antiferromagnets and spin field effect transistors, Proc. Natl. Acad. Sci. USA 115, 8511 (2018).
  32. F. Wang, Y. Zhou, X. Shen, S. Dong, and J. Zhang, Magnetoelectric coupling and cross control in two-dimensional ferromagnets, Phys. Rev. Appl. 20, 064011 (2023).
  33. M. Abdollahi and M. B. Tagani, Tuning the magnetic properties of a VSe2 monolayer via the magnetic proximity effect mediated by Zeeman-type spin-orbit interaction, Phys. Rev. B 108, 024427 (2023).
  34. M. Jafari, W. Rudziński, J. Barnaś, and A. Dyrdał, Electronic and magnetic properties of 2D vanadium-based transition metal dichalcogenides, Sci. Rep. 13, 20947 (2023).
  35. J. Ma, X. Luo, and Y. Zheng, Strain engineering the spin-valley coupling of the r-stacking sliding ferroelectric bilayer 2H–VSe2 (X=S,Se,Te), npj Comput. Mater. 10, 102 (2024).
  36. H. Hu, W.-Y. Tong, Y.-H. Shen, X. Wan, and C.-G. Duan, Concepts of the half-valley-metal and quantum anomalous valley Hall effect, npj Comput. Mater. 6, 129 (2020).
  37. W. Pan, Tuning the magnetic anisotropy and topological phase with electronic correlation in single-layer H−FeBr2, Phys. Rev. B 106, 125122 (2022).
  38. S. Ji, R. Yao, C. Quan, Y. Wang, J. Yang, and X. Li, Observing topological phase transition in ferromagnetic transition metal dichalcogenides, Phys. Rev. B 108, 224422 (2023).
  39. N.-J. Yang, J.-H. Li, Z. Huang, and J.-M. Zhang, Orbital Hall effect characterizing higher-order topological phase transitions in monolayers of ferromagnetic materials, Phys. Rev. B 111, 235435 (2025).
  40. F. Xue, M. D. Stiles, and P. M. Haney, Angular dependence of spin-orbit torque in monolayer Fe3GeTe2, Phys. Rev. B 108, 144422 (2023).
  41. O. Johansen, V. Risinggård, A. Sudbø, J. Linder, and A. Brataas, Current control of magnetism in two-dimensional Fe3GeTe2, Phys. Rev. Lett. 122, 217203 (2019).
  42. J. Železný, H. Gao, A. Manchon, F. Freimuth, Y. Mokrousov, J. Zemen, J. Mašek, J. Sinova, and T. Jungwirth, Spin-orbit torques in locally and globally noncentrosymmetric crystals: Antiferromagnets and ferromagnets, Phys. Rev. B 95, 014403 (2017).
  43. Y. Zhou, H. Ye, J. Zhang, and S. Dong, Record-large magnetically driven polarization in room temperature ferromagnets OsX2 monolayers, Phys. Rev. Mater. 8, 104403 (2024).
  44. W. Xun, C. Wu, H. Sun, W. Zhang, Y.-Z. Wu, and P. Li, Coexisting magnetism, ferroelectric, and ferrovalley multiferroic in stacking-dependent two-dimensional materials, Nano Lett. 24, 3541 (2024).
  45. Y. Wu, J. Tong, L. Deng, F. Luo, F. Tian, G. Qin, and X. Zhang, Coexisting ferroelectric and ferrovalley polarizations in bilayer stacked magnetic semiconductors, Nano Lett. 23, 6226 (2023).
  46. J. Li, B. Zhao, P. Chen, R. Wu, B. Li, Q. Xia, G. Guo, J. Luo, K. Zang, Z. Zhang, H. Ma, G. Sun, X. Duan, and X. Duan, Synthesis of ultrathin metallic MTe2 (M=V,Nb,Ta) single-crystalline nanoplates, Adv. Mater. 30, 1801043 (2018).
  47. Y. Wang, J. Ren, J. Li, Y. Wang, H. Peng, P. Yu, W. Duan, and S. Zhou, Evidence of charge density wave with anisotropic gap in a monolayer VTe2 film, Phys. Rev. B 100, 241404(R) (2019).
  48. Z.-H. Chen, X. Liao, J.-W. Dong, X.-Y. Liu, T.-Y. Zhao, D. Li, A.-Q. Wang, and Z.-M. Liao, Charge density wave modulated third-order nonlinear Hall effect in 1T−VSe2 nanosheets, Phys. Rev. B 110, 235135 (2024).
  49. Z. Guan and S. Ni, Predicted 2D ferromagnetic Janus VSeTe monolayer with high Curie temperature, large valley polarization and magnetic crystal anisotropy, Nanoscale 12, 22735 (2020).
  50. C. Wang and Y. An, Valley polarization, magnetic anisotropy and band alignment engineering in two-dimensional 2H–VTe2/ 1T–FeCl2 van der Waals heterostructures, Appl. Surf. Sci. 583, 152520 (2022).
  51. G. Liu, H. Jiang, Z. Guo, X. Zhang, L. Jin, C. Liu, and Y. Liu, Magnetic second-order topological insulators in 2H-transition metal dichalcogenides, Adv. Sci. 10, 2301952 (2023).
  52. C. Wang and Y. An, Effects of strain and stacking patterns on the electronic structure, valley polarization and magnetocrystalline anisotropy of layered VTe2, Appl. Surf. Sci. 538, 148098 (2021).
  53. P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, et al., Quantum ESPRESSO: A modular and open-source software project for quantumsimulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
  54. P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
  55. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
  56. S. Grimme, J. Antony, S. Ehrlich, and H. Krieg, A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu, J. Chem. Phys. 132, 154104 (2010).
  57. S. Grimme, Semiempirical GGA-type density functional constructed with a long-range dispersion correction, J. Comput. Chem. 27, 1787 (2006).
  58. M. Esters, R. G. Hennig, and D. C. Johnson, Dynamic instabilities in strongly correlated VSe2 monolayers and bilayers, Phys. Rev. B 96, 235147 (2017).
  59. A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, Wannier90: A tool for obtaining maximally-localised Wannier functions, Comput. Phys. Commun. 178, 685 (2008).
  60. Q. Wu, S. Zhang, H.-F. Song, M. Troyer, and A. A. Soluyanov, Wanniertools: An open-source software package for novel topological materials, Comput. Phys. Commun. 224, 405 (2018).
  61. J. Zelezny, Wannier linear response, https://bitbucket.org/zeleznyj/wannier-linear-response/wiki/Home.
  62. W. Pan and J. Fabian, Tunable Edelstein effect in the intrinsic two-dimensional ferroelectric metal PtBi2, Phys. Rev. B 113, 165140 (2026).
  63. R. González-Hernández, P. Ritzinger, K. Výborný, J. Železný, and A. Manchon, Non-relativistic torque and Edelstein effect in non-collinear magnets, Nat. Commun. 15, 7663 (2024).
  64. A. Chakraborty, A. Birk Hellenes, R. Jaeschke-Ubiergo, T. Jungwirth, L. Šmejkal, and J. Sinova, Highly efficient non-relativistic Edelstein effect in nodal p-wave magnets, Nat. Commun. 16, 7270 (2025).
  65. A. Popoola, R. Kashikar, A. Azmy, I. Spanopoulos, H. Jafari, J. Sławińska, S. Witanachchi, S. Lisenkov, and I. Ponomareva, Mechanically and electrically tunable rashba-edelstein effect in ferroelectric semiconductors, CsGeX3(X=I,Br,Cl), Phys. Rev. Mater. 9, 084412 (2025).
  66. K. Tenzin, A. Roy, F. T. Cerasoli, A. Jayaraj, M. B. Nardelli, and J. Sławińska, Collinear Rashba-Edelstein effect in nonmagnetic chiral materials, Phys. Rev. B 108, 245203 (2023).
  67. S. Lee, D. J. P. de Sousa, Y.-K. Kwon, F. de Juan, Z. Chi, F. Casanova, and T. Low, Charge-to-spin conversion in twisted graphene/WSe2 heterostructures, Phys. Rev. B 106, 165420 (2022).
  68. Z. Sun, Y. Su, A. Zhi, Z. Gao, X. Han, K. Wu, L. Bao, Y. Huang, Y. Shi, X. Bai, et al., Evidence for multiferroicity in single-layer CuCrSe2, Nat. Commun. 15, 4252 (2024).
  69. K. Abdukayumov, O. Paull, M. Mičica, F. Ibrahim, L. Vojáček, A. Wright, S. Massabeau, F. Mazzola, V. Polewczyk, C. Jego, R. Sharma, C. Vergnaud, A. Marty, I. G. de Moraes, A. Ouerghi, H. Okuno, A. Jana, I. Kar, J. Fujii, I. Vobornik, et al., Monolayer control of spin-charge conversion in van der Waals heterostructures, Phys. Rev. Lett. 135, 016702 (2025).
  70. R. Kempt, A. Kuc, T. Brumme, and T. Heine, Edge conductivity in PtSe2 nanostructures, Small Struct. 5, 2300222 (2024).
  71. J. Železný, Y. Zhang, C. Felser, and B. Yan, Spin-polarized current in noncollinear antiferromagnets, Phys. Rev. Lett. 119, 187204 (2017).
  72. F. Zheng, M. Zhu, J. Dong, X. Li, Y. Zhou, K. Wu, and J. Zhang, Anatomy of the spin Hall effect in ferromagnetic metals, Phys. Rev. B 109, 224401 (2024).
  73. Y. Zhu, Y. Zhang, L. Han, X. Feng, H. Bai, X. Fan, J. Dai, Y. Zhang, X. Fu, S. Liang, Y. Cao, J. Liu, F. Pan, C. Song, and N. Chen, Observation of magnetic structure-dependent spin Hall effect, Adv. Funct. Mater. 36, e05406 (2026).
  74. J. Zhou and J.-C. Charlier, Controllable spin current in van der Waals ferromagnet Fe3GeTe2, Phys. Rev. Res. 3, L042033 (2021).
  75. G. Qu, K. Nakamura, and M. Hayashi, Magnetization direction dependent spin Hall effect in 3d ferromagnets, Phys. Rev. B 102, 144440 (2020).
  76. F. Xue, C. Rohmann, J. Li, V. Amin, and P. Haney, Unconventional spin-orbit torque in transition metal dichalcogenide–ferromagnet bilayers from first-principles calculations, Phys. Rev. B 102, 014401 (2020).
  77. D. MacNeill, G. M. Stiehl, M. H. D. Guimarães, N. D. Reynolds, R. A. Buhrman, and D. C. Ralph, Thickness dependence of spin-orbit torques generated by WTe2, Phys. Rev. B 96, 054450 (2017).
  78. G. M. Stiehl, R. Li, V. Gupta, I. E. Baggari, S. Jiang, H. Xie, L. F. Kourkoutis, K. F. Mak, J. Shan, R. A. Buhrman, and D. C. Ralph, Layer-dependent spin-orbit torques generated by the centrosymmetric transition metal dichalcogenide β−MoTe2, Phys. Rev. B 100, 184402 (2019).
  79. D. MacNeill, G. Stiehl, M. Guimaraes, R. Buhrman, J. Park, and D. Ralph, Control of spin–orbit torques through crystal symmetry in WTe2/ferromagnet bilayers, Nat. Phys. 13, 300 (2017).
  80. X. Lu, R. Fei, L. Zhu, and L. Yang, Meron-like topological spin defects in monolayer CrCl3, Nat. Commun. 11, 4724 (2020).
  81. D.-S. Wang, R. Wu, and A. J. Freeman, First-principles theory of surface magnetocrystalline anisotropy and the diatomic-pair model, Phys. Rev. B 47, 14932 (1993).
  82. H.-R. Fuh, C.-R. Chang, Y.-K. Wang, R. F. L. Evans, R. W. Chantrell, and H.-T. Jeng, Newtype single-layer magnetic semiconductor in transition-metal dichalcogenides VX2 (X=S, Se and Te), Sci. Rep. 6, 32625 (2016).

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Phys. Rev. B 114, 125129– Published 24 August, 2026
  • Received 13 May 2026
  • Revised 24 July 2026
  • Accepted 11 August 2026
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