- Access by Xinjiang University
Spin-orbit torque switching of Néel order in band-inverted antiferromagnetic bilayer
Phys. Rev. B 113, 134440 – Published 27 April, 2026
DOI: https://doi.org/10.1103/ljqk-968f
Abstract
Magnetic topological insulators host exotic phenomena such as the quantum anomalous Hall effect and quantized magnetoelectric responses, but dynamic electrical control of their topological phases remains elusive. Here we demonstrate from first principles that spin-orbit torque enables direct electrical switching of the Néel configuration in intrinsic antiferromagnetic bilayer , thereby reconfiguring its boundary spectrum. A symmetry-allowed interband (time-reversal even) torque persists inside the bulk gap, and deterministically reverses the Néel order and layer-resolved Chern marker without free carriers. Upon doping, both interband and intraband torques are amplified, lowering the critical electric field for switching by two orders of magnitude. Together, these results establish two complementary regimes of control: dissipationless in-gap torques without Joule heating, and enhanced current-induced torques, providing a robust route to manipulate a layer-resolved Chern marker and helical-like gapped edge modes in antiferromagnetic .
Physics Subject Headings (PhySH)
Article Text
References (77)
- M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
- X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011).
- Y. Tokura, K. Yasuda, and A. Tsukazaki, Magnetic topological insulators, Nat. Rev. Phys. 1, 126 (2019).
- B. A. Bernevig, C. Felser, and H. Beidenkopf, Progress and prospects in magnetic topological materials, Nature (London) 603, 41 (2022).
- C.-Z. Chang, J. Zhang, X. Feng, J. Shen, Z. Zhang, M. Guo, K. Li, Y. Ou, P. Wei, L.-L. Wang, Z.-Q. Ji, Y. Feng, S. Ji, X. Chen, J. Jia, X. Dai, Z. Fang, S.-C. Zhang, K. He, Y. Wang, et al., Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator, Science 340, 167 (2013).
- X. Kou, L. Pan, J. Wang, Y. Fan, E. S. Choi, W.-L. Lee, T. Nie, K. Murata, Q. Shao, S.-C. Zhang, and K. L. Wang, Metal-to-insulator switching in quantum anomalous Hall states, Nat. Commun. 6, 8474 (2015).
- M. Kawamura, M. Mogi, R. Yoshimi, A. Tsukazaki, Y. Kozuka, K. S. Takahashi, M. Kawasaki, and Y. Tokura, Topological quantum phase transition in magnetic topological insulator upon magnetization rotation, Phys. Rev. B 98, 140404(R) (2018).
- M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, and A. F. Young, Intrinsic quantized anomalous Hall effect in a Moiré heterostructure, Science 367, 900 (2020).
- G. Chen, A. L. Sharpe, E. J. Fox, Y.-H. Zhang, S. Wang, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, Z. Shi, T. Senthil, D. Goldhaber-Gordon, Y. Zhang, and F. Wang, Tunable correlated Chern insulator and ferromagnetism in a Moiré superlattice, Nature (London) 579, 56 (2020).
- X. Wu, D. Xiao, C.-Z. Chen, J. Sun, L. Zhang, M. H. W. Chan, N. Samarth, X. C. Xie, X. Lin, and C.-Z. Chang, Scaling behavior of the quantum phase transition from a quantum-anomalous-Hall insulator to an axion insulator, Nat. Commun. 11, 4532 (2020).
- Y.-F. Zhao, R. Zhang, R. Mei, L.-J. Zhou, H. Yi, Y.-Q. Zhang, J. Yu, R. Xiao, K. Wang, N. Samarth, M. H. W. Chan, C.-X. Liu, and C.-Z. Chang, Tuning the Chern number in quantum anomalous Hall insulators, Nature (London) 588, 419 (2020).
- T. Li, S. Jiang, B. Shen, Y. Zhang, L. Li, Z. Tao, T. Devakul, K. Watanabe, T. Taniguchi, L. Fu, J. Shan, and K. F. Mak, Quantum anomalous Hall effect from intertwined Moiré bands, Nature (London) 600, 641 (2021).
- J. Cai, E. Anderson, C. Wang, X. Zhang, X. Liu, W. Holtzmann, Y. Zhang, F. Fan, T. Taniguchi, K. Watanabe, Y. Ran, T. Cao, L. Fu, D. Xiao, W. Yao, and X. Xu, Signatures of fractional quantum anomalous Hall states in twisted , Nature (London) 622, 63 (2023).
- W. Yuan, L.-J. Zhou, K. Yang, Y.-F. Zhao, R. Zhang, Z. Yan, D. Zhuo, R. Mei, Y. Wang, H. Yi, M. H. W. Chan, M. Kayyalha, C.-X. Liu, and C.-Z. Chang, Electrical switching of the edge current chirality in quantum anomalous Hall insulators, Nat. Mater. 23, 58 (2024).
- R. S. K. Mong, A. M. Essin, and J. E. Moore, Antiferromagnetic topological insulators, Phys. Rev. B 81, 245209 (2010).
- M. M. Otrokov, I. I. Klimovskikh, H. Bentmann, D. Estyunin, A. Zeugner, Z. S. Aliev, S. Gaß, A. U. B. Wolter, A. V. Koroleva, A. M. Shikin, M. Blanco-Rey, M. Hoffmann, I. P. Rusinov, A. Y. Vyazovskaya, S. V. Eremeev, Y. M. Koroteev, V. M. Kuznetsov, F. Freyse, J. Sánchez-Barriga, I. R. Amiraslanov, et al., Prediction and observation of an antiferromagnetic topological insulator, Nature (London) 576, 416 (2019).
- J. Li, Y. Li, S. Du, Z. Wang, B.-L. Gu, S.-C. Zhang, K. He, W. Duan, and Y. Xu, Intrinsic magnetic topological insulators in van der Waals layered -family materials, Sci. Adv. 5, eaaw5685 (2019).
- D. Zhang, M. Shi, T. Zhu, D. Xing, H. Zhang, and J. Wang, Topological axion states in the magnetic insulator with the quantized magnetoelectric effect, Phys. Rev. Lett. 122, 206401 (2019).
- M. M. Otrokov, I. P. Rusinov, M. Blanco-Rey, M. Hoffmann, A. Y. Vyazovskaya, S. V. Eremeev, A. Ernst, P. M. Echenique, A. Arnau, and E. V. Chulkov, Unique thickness-dependent properties of the van der Waals interlayer antiferromagnet films, Phys. Rev. Lett. 122, 107202 (2019).
- Y. Deng, Y. Yu, M. Z. Shi, Z. Guo, Z. Xu, J. Wang, X. H. Chen, and Y. Zhang, Quantum anomalous Hall effect in intrinsic magnetic topological insulator , Science 367, 895 (2020),.
- C. Liu, Y. Wang, H. Li, Y. Wu, Y. Li, J. Li, K. He, Y. Xu, J. Zhang, and Y. Wang, Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator, Nat. Mater. 19, 522 (2020).
- I. I. Klimovskikh, M. M. Otrokov, D. Estyunin, S. V. Eremeev, S. O. Filnov, A. Koroleva, E. Shevchenko, V. Voroshnin, A. G. Rybkin, I. P. Rusinov, M. Blanco-Rey, M. Hoffmann, Z. S. Aliev, M. B. Babanly, I. R. Amiraslanov, N. A. Abdullayev, V. N. Zverev, A. Kimura, O. E. Tereshchenko, K. A. Kokh, et al., Tunable 3D/2D magnetism in the ( topological insulators family, npj Quantum Mater. 5, 54 (2020).
- K. He, -family intrinsic magnetic topological materials, npj Quantum Mater. 5, 90 (2020).
- C. Lei, S. Chen, and A. H. MacDonald, Magnetized topological insulator multilayers, Proc. Natl. Acad. Sci. USA 117, 27224 (2020),.
- A. Gao, Y.-F. Liu, C. Hu, J.-X. Qiu, C. Tzschaschel, B. Ghosh, S.-C. Ho, D. Bérubé, R. Chen, H. Sun, Z. Zhang, X.-Y. Zhang, Y.-X. Wang, N. Wang, Z. Huang, C. Felser, A. Agarwal, T. Ding, H.-J. Tien, A. Akey, et al., Layer Hall effect in a 2D topological axion antiferromagnet, Nature (London) 595, 521 (2021).
- Y.-F. Zhao, L.-J. Zhou, F. Wang, G. Wang, T. Song, D. Ovchinnikov, H. Yi, R. Mei, K. Wang, M. H. W. Chan, C.-X. Liu, X. Xu, and C.-Z. Chang, Even–odd layer-dependent anomalous Hall effect in topological magnet thin films, Nano Lett. 21, 7691 (2021).
- S. Li, T. Liu, C. Liu, Y. Wang, H.-Z. Lu, and X. C. Xie, Progress on the antiferromagnetic topological insulator , Natl. Sci. Rev. 11, nwac296 (2024).
- 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).
- 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).
- I. M. Miron, K. Garello, G. Gaudin, P.-J. Zermatten, M. V. Costache, S. Auffret, S. Bandiera, B. Rodmacq, A. Schuhl, and P. Gambardella, Perpendicular switching of a single ferromagnetic layer induced by in-plane current injection, Nature (London) 476, 189 (2011).
- L. Liu, C.-F. Pai, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, Spin-torque switching with the giant spin Hall effect of tantalum, Science 336, 555 (2012).
- L. Liu, O. J. Lee, T. Gudmundsen, D. C. Ralph, and R. A. Buhrman, Current-induced switching of perpendicularly magnetized magnetic layers using spin torque from the spin Hall effect, Phys. Rev. Lett. 109, 096602 (2012).
- H. Kurebayashi, J. Sinova, D. Fang, A. C. Irvine, T. D. Skinner, J. Wunderlich, V. Novák, R. P. Campion, B. L. Gallagher, E. K. Vehstedt, L. P. Zârbo, K. Výborný, A. J. Ferguson, and T. Jungwirth, An antidamping spin-orbit torque originating from the Berry curvature, Nat. Nanotechnol. 9, 211 (2014).
- J. Železný, H. Gao, K. Výborný, J. Zemen, J. Mašek, A. Manchon, J. Wunderlich, J. Sinova, and T. Jungwirth, Relativistic Néel-order fields induced by electrical current in antiferromagnets, Phys. Rev. Lett. 113, 157201 (2014).
- P. Wadley, B. Howells, J. Železný, C. Andrews, V. Hills, R. P. Campion, V. Novák, K. Olejník, F. Maccherozzi, S. Dhesi, et al., Electrical switching of an antiferromagnet, Science 351, 587 (2016).
- T. Jungwirth, X. Marti, P. Wadley, and J. Wunderlich, Antiferromagnetic spintronics, Nat. Nanotechnol. 11, 231 (2016).
- M. Meinert, D. Graulich, and T. Matalla-Wagner, Electrical switching of antiferromagnetic and the role of thermal activation, Phys. Rev. Appl. 9, 064040 (2018).
- V. Baltz, A. Manchon, M. Tsoi, T. Moriyama, T. Ono, and Y. Tserkovnyak, Antiferromagnetic spintronics, Rev. Mod. Phys. 90, 015005 (2018).
- A. R. Mellnik, J. S. Lee, A. Richardella, J. L. Grab, P. J. Mintun, M. H. Fischer, A. Vaezi, A. Manchon, E. A. Kim, N. Samarth, and D. C. Ralph, Spin-transfer torque generated by a topological insulator, Nature (London) 511, 449 (2014).
- Y. Fan, P. Upadhyaya, X. Kou, M. Lang, S. Takei, Z. Wang, J. Tang, L. He, L.-T. Chang, M. Montazeri, G. Yu, W. Jiang, T. Nie, R. N. Schwartz, Y. Tserkovnyak, and K. L. Wang, Magnetization switching through giant spin–orbit torque in a magnetically doped topological insulator heterostructure, Nat. Mater. 13, 699 (2014).
- Y. Wang, P. Deorani, K. Banerjee, N. Koirala, M. Brahlek, S. Oh, and H. Yang, Topological surface states originated spin-orbit torques in , Phys. Rev. Lett. 114, 257202 (2015).
- Y. Fan, X. Kou, P. Upadhyaya, Q. Shao, L. Pan, M. Lang, X. Che, J. Tang, M. Montazeri, K. Murata, L.-T. Chang, M. Akyol, G. Yu, T. Nie, K. L. Wong, J. Liu, Y. Wang, Y. Tserkovnyak, and K. L. Wang, Electric-field control of spin–orbit torque in a magnetically doped topological insulator, Nat. Nanotechnol. 11, 352 (2016).
- J. Han, A. Richardella, S. A. Siddiqui, J. Finley, N. Samarth, and L. Liu, Room-temperature spin-orbit torque switching induced by a topological insulator, Phys. Rev. Lett. 119, 077702 (2017).
- H. Wu, P. Zhang, P. Deng, Q. Lan, Q. Pan, S. A. Razavi, X. Che, L. Huang, B. Dai, K. Wong, X. Han, and K. L. Wang, Room-temperature spin-orbit torque from topological surface states, Phys. Rev. Lett. 123, 207205 (2019).
- L. Tai, H. He, S. K. Chong, H. Zhang, H. Huang, G. Qiu, Y. Ren, Y. Li, H.-Y. Yang, T.-H. Yang, X. Dong, B. Dai, T. Qu, Q. Shu, Q. Pan, P. Zhang, F. Xue, J. Li, A. V. Davydov, and K. L. Wang, Giant Hall switching by surface-state-mediated spin-orbit torque in a hard ferromagnetic topological insulator, Adv. Mater. 36, 2406772 (2024).
- F. Xue and P. M. Haney, Intrinsic staggered spin-orbit torque for the electrical control of antiferromagnets: Application to , Phys. Rev. B 104, 224414 (2021).
- J. Tang and R. Cheng, Lossless spin-orbit torque in antiferromagnetic topological insulator , Phys. Rev. Lett. 132, 136701 (2024).
- J.-P. Hanke, F. Freimuth, C. Niu, S. Blügel, and Y. Mokrousov, Mixed weyl semimetals and low-dissipation magnetization control in insulators by spin–orbit torques, Nat. Commun. 8, 1479 (2017).
- L. Ding, C. Hu, F. Ye, E. Feng, N. Ni, and H. Cao, Crystal and magnetic structures of magnetic topological insulators and , Phys. Rev. B 101, 020412(R) (2020).
- 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).
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- A. A. Mostofi, J. R. Yates, G. Pizzi, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, An updated version of Wannier90: A tool for obtaining maximally-localised Wannier functions, Comput. Phys. Commun. 185, 2309 (2014).
- J. Wang, B. Lian, X.-L. Qi, and S.-C. Zhang, Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state, Phys. Rev. B 92, 081107(R) (2015).
- X.-L. Qi, Y.-S. Wu, and S.-C. Zhang, Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors, Phys. Rev. B 74, 085308 (2006).
- F. Zhan, Z. Qin, D.-H. Xu, X. Zhou, D.-S. Ma, and R. Wang, Design of antiferromagnetic second-order band topology with rotation topological invariants in two dimensions, Nano Lett. 24, 7741 (2024).
- W. A. Benalcazar, T. Li, and T. L. Hughes, Quantization of fractional corner charge in -symmetric higher-order topological crystalline insulators, Phys. Rev. B 99, 245151 (2019).
- R. Takahashi, T. Zhang, and S. Murakami, General corner charge formula in two-dimensional -symmetric higher-order topological insulators, Phys. Rev. B 103, 205123 (2021).
- N. Varnava and D. Vanderbilt, Surfaces of axion insulators, Phys. Rev. B 98, 245117 (2018).
- J. Wang, B. Lian, H. Zhang, and S.-C. Zhang, Anomalous edge transport in the quantum anomalous Hall state, Phys. Rev. Lett. 111, 086803 (2013).
- W. Lin, Y. Feng, Y. Wang, J. Zhu, Z. Lian, H. Zhang, H. Li, Y. Wu, C. Liu, Y. Wang, J. Zhang, Y. Wang, C.-Z. Chen, X. Zhou, and J. Shen, Direct visualization of edge state in even-layer at zero magnetic field, Nat. Commun. 13, 7714 (2022).
- J. Slonczewski, Current-driven excitation of magnetic multilayers, J. Magn. Magn. Mater. 159, L1 (1996).
- H. V. Gomonay and V. M. Loktev, Spin transfer and current-induced switching in antiferromagnets, Phys. Rev. B 81, 144427 (2010).
- 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).
- K. D. Belashchenko, A. A. Kovalev, and M. van Schilfgaarde, Interfacial contributions to spin-orbit torque and magnetoresistance in ferromagnet/heavy-metal bilayers, Phys. Rev. B 101, 020407(R) (2020).
- F. Xue, M. D. Stiles, and P. M. Haney, Angular dependence of spin-orbit torque in monolayer , Phys. Rev. B 108, 144422 (2023).
- D. Lujan, J. Choe, M. Rodriguez-Vega, Z. Ye, A. Leonardo, T. N. Nunley, L.-J. Chang, S.-F. Lee, J. Yan, G. A. Fiete, R. He, and X. Li, Magnons and magnetic fluctuations in atomically thin , Nat. Commun. 13, 2527 (2022).
- 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).
- F. Mahfouzi and N. Kioussis, First-principles study of the angular dependence of the spin-orbit torque in Pt/Co and Pd/Co bilayers, Phys. Rev. B 97, 224426 (2018).
- K. D. Belashchenko, A. A. Kovalev, and M. van Schilfgaarde, First-principles calculation of spin-orbit torque in a Co/Pt bilayer, Phys. Rev. Mater. 3, 011401(R) (2019).
- R. Mei, D. Kaplan, B. Yan, C.-Z. Chang, and C.-X. Liu, Electrical control of intrinsic nonlinear Hall effect in antiferromagnetic topological insulator sandwiches, Phys. Rev. B 110, 165401 (2024).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- N. Gonzalez Szwacki, J. A. Majewski, and T. Dietl, Aggregation and magnetism of Cr, Mn, and Fe cations in GaN, Phys. Rev. B 83, 184417 (2011).
- 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).
- G.-X. Zhi, C. Xu, S.-Q. Wu, F. Ning, and C. Cao, Wannsymm: A symmetry analysis code for Wannier orbitals, Comput. Phys. Commun. 271, 108196 (2022).
- M. P. L. Sancho, J. M. L. Sancho, J. M. L. Sancho, and J. Rubio, Highly convergent schemes for the calculation of bulk and surface Green functions, J. Phys. F 15, 851 (1985).
- 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).
- A. Zeugner, F. Nietschke, A. U. B. Wolter, S. Gaß, R. C. Vidal, T. R. F. Peixoto, D. Pohl, C. Damm, A. Lubk, R. Hentrich, S. K. Moser, C. Fornari, C. H. Min, S. Schatz, K. Kißner, M. Ünzelmann, M. Kaiser, F. Scaravaggi, B. Rellinghaus, K. Nielsch, et al., Chemical aspects of the candidate antiferromagnetic topological insulator , Chem. Mater. 31, 2795 (2019).