Abstract
Topological electronic materials, such as topological insulators, are distinct from trivial materials in the topology of their electronic band structures that lead to robust, unconventional topological states, which could bring revolutionary developments in electronics. This Perspective summarizes developments of topological insulators in various electronic applications including spintronics and magnetoelectronics. We group and analyse several important phenomena in spintronics using topological insulators, including spin–orbit torque, the magnetic proximity effect, interplay between antiferromagnetism and topology, and the formation of topological spin textures. We also outline recent developments in magnetoelectronics such as the axion insulator and the topological magnetoelectric effect observed using different topological insulators.
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References
Qi, X.-L. & Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057–1110 (2011).
Fu, L. & Kane, C. L. Topological insulators with inversion symmetry. Phys. Rev. B 76, 045302 (2007).
Qi, X.-L., Hughes, T. L. & Zhang, S.-C. Topological field theory of time-reversal invariant insulators. Phys. Rev. B 78, 195424 (2008).
Yu, R. et al. Quantized anomalous Hall effect in magnetic topological insulators. Science 329, 61–64 (2010).
Haldane, F. D. Model for a quantum Hall effect without Landau levels: condensed-matter realization of the “parity anomaly”. Phys. Rev. Lett. 61, 2015–2018 (1988).
Chang, C. Z. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 340, 167–170 (2013).
Checkelsky, J. G. et al. Trajectory of the anomalous Hall effect towards the quantized state in a ferromagnetic topological insulator. Nat. Phys. 10, 731–736 (2014).
Kou, X. et al. Scale-invariant quantum anomalous Hall effect in magnetic topological insulators beyond the two-dimensional limit. Phys. Rev. Lett. 113, 137201 (2014).
Fox, E. J. et al. Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect. Phys. Rev. B 98, 075145 (2018).
Tokura, Y., Yasuda, K. & Tsukazaki, A. Magnetic topological insulators. Nat. Rev. Phys. 1, 126–143 (2019).
Nagaosa, N. & Tokura, Y. Topological properties and dynamics of magnetic skyrmions. Nat. Nanotechnol. 8, 899–911 (2013).
Liu, L. et al. Spin-torque switching with the giant spin Hall effect of tantalum. Science 336, 555–558 (2012).
Pai, C.-F. et al. Spin transfer torque devices utilizing the giant spin Hall effect of tungsten. Appl. Phys. Lett. 101, 122404 (2012).
Pai, C.-F., Ou, Y., Vilela-Leão, L. H., Ralph, D. C. & Buhrman, R. A. Dependence of the efficiency of spin Hall torque on the transparency of Pt/ferromagnetic layer interfaces. Phys. Rev. B 92, 064426 (2015).
Mellnik, A. R. et al. Spin-transfer torque generated by a topological insulator. Nature 511, 449–451 (2014).
Kondou, K. et al. Fermi-level-dependent charge-to-spin current conversion by Dirac surface states of topological insulators. Nat. Phys. 12, 1027–1031 (2016).
Li, C. H. et al. Electrical detection of charge-current-induced spin polarization due to spin-momentum locking in Bi2Se3. Nat. Nanotechnol. 9, 218–224 (2014).
Fan, Y. et al. Electric-field control of spin–orbit torque in a magnetically doped topological insulator. Nat. Nanotechnol. 11, 352–359 (2016).
Wu, H. et al. Room-temperature spin–orbit torque from topological surface states. Phys. Rev. Lett. 123, 207205 (2019).
Fan, Y. et al. Magnetization switching through giant spin–orbit torque in a magnetically doped topological insulator heterostructure. Nat. Mater. 13, 699–704 (2014).
Yasuda, K. et al. Large unidirectional magnetoresistance in a magnetic topological insulator. Phys. Rev. Lett. 117, 127202 (2016).
Che, X. et al. Strongly surface state carrier-dependent spin–orbit torque in magnetic topological insulators. Adv. Mater. 32, 1907661 (2020).
Wang, Y. et al. Room temperature magnetization switching in topological insulator–ferromagnet heterostructures by spin–orbit torques. Nat. Commun. 8, 1364 (2017).
Sanchez, J. C. et al. Spin-to-charge conversion using Rashba coupling at the interface between non-magnetic materials. Nat. Commun. 4, 2944 (2013).
DC, M. et al. Room-temperature high spin–orbit torque due to quantum confinement in sputtered BixSe(1−x) films. Nat. Mater. 17, 800–807 (2018).
Wang, Y. et al. Topological surface states originated spin–orbit torques in Bi2Se3. Phys. Rev. Lett. 114, 257202 (2015).
Khang, N. H. D., Ueda, Y. & Hai, P. N. A conductive topological insulator with large spin Hall effect for ultralow power spin–orbit torque switching. Nat. Mater. 17, 808–813 (2018).
Du, L. et al. Tuning edge states in strained-layer InAs/GaInSb quantum spin Hall insulators. Phys. Rev. Lett. 119, 056803 (2017).
Wu, H. et al. Spin–orbit torque switching of a nearly compensated ferrimagnet by topological surface states. Adv. Mater. 31, 1901681 (2019).
Li, P. et al. Magnetization switching using topological surface states. Sci. Adv. 5, eaaw3415 (2019).
Šmejkal, L., Mokrousov, Y., Yan, B. & MacDonald, A. H. Topological antiferromagnetic spintronics. Nat. Phys. 14, 242–251 (2018).
He, Q. L. et al. Tailoring exchange couplings in magnetic topological-insulator/antiferromagnet heterostructures. Nat. Mater. 16, 94–100 (2017).
Gomonay, O., Jungwirth, T. & Sinova, J. Concepts of antiferromagnetic spintronics. Phys. Status Solidi Rapid Res. Lett. 11, 1700022 (2017).
Šmejkal, L., Jungwirth, T. & Sinova, J. Route towards Dirac and Weyl antiferromagnetic spintronics. Phys. Status Solidi Rapid Res. Lett. 11, 1700044 (2017).
He, Q. L. et al. Topological transitions induced by antiferromagnetism in a thin-film topological insulator. Phys. Rev. Lett. 121, 096802 (2018).
Matetskiy, A. V. et al. Direct observation of a gap opening in topological interface states of MnSe/Bi2Se3 heterostructure. Appl. Phys. Lett. 107, 091604 (2015).
Eremeev, S. V., Otrokov, M. M. & Chulkov, E. V. New universal type of interface in the magnetic insulator/topological insulator heterostructures. Nano Lett. 18, 6521–6529 (2018).
Luo, W. & Qi, X.-L. Massive Dirac surface states in topological insulator/magnetic insulator heterostructures. Phys. Rev. B 87, 085431 (2013).
He, Q. L. et al. Exchange-biasing topological charges by antiferromagnetism. Nat. Commun. 9, 2767 (2018).
He, Q. L. et al. Two-dimensional superconductivity at the interface of a Bi2Te3/FeTe heterostructure. Nat. Commun. 5, 4247 (2014).
Hagmann, J. A. et al. Molecular beam epitaxy growth and structure of self-assembled Bi2Se3/Bi2MnSe4 multilayer heterostructures. New J. Phys. 19, 085002 (2017).
Hou, Y., Kim, J. & Wu, R. Magnetizing topological surface states of Bi2Se3 with a CrI3 monolayer. Sci. Adv. 5, eaaw1874 (2019).
Wang, F. et al. Observation of interfacial antiferromagnetic coupling between magnetic topological insulator and antiferromagnetic insulator. Nano Lett. 19, 2945–2952 (2019).
Otrokov, M. M. et al. Prediction and observation of an antiferromagnetic topological insulator. Nature 576, 416–422 (2019).
Mong, R. K. S., Essin, A. M. & Moore, J. E. Antiferromagnetic topological insulators. Phys. Rev. B 81, 245209 (2010).
Li, J. et al. Intrinsic magnetic topological insulators in van der Waals layered MnBi2Te4-family materials. Sci. Adv. 5, eaaw5685 (2019).
Zhang, D. et al. Topological axion states in the magnetic insulator MnBi2Te4 with the quantized magnetoelectric effect. Phys. Rev. Lett. 122, 206401 (2019).
Otrokov, M. M. et al. Unique thickness-dependent properties of the van der Waals interlayer antiferromagnet MnBi2Te4 films. Phys. Rev. Lett. 122, 107202 (2019).
Gong, Y. et al. Experimental realization of an intrinsic magnetic topological insulator. Chin. Phys. Lett. 36, 076801 (2019).
Lee, S. H. et al. Spin scattering and noncollinear spin structure-induced intrinsic anomalous Hall effect in antiferromagnetic topological insulator MnBi2Te4. Phys. Rev. Res. 1, 012011 (2019).
Chen, B. et al. Intrinsic magnetic topological insulator phases in the Sb doped MnBi2Te4 bulks and thin flakes. Nat. Commun. 10, 4469 (2019).
Yan, J. Q. et al. Crystal growth and magnetic structure of MnBi2Te4. Phys. Rev. Mater. 3, 064202 (2019).
Cui, J. et al. Transport properties of thin flakes of the antiferromagnetic topological insulator MnBi2Te4. Phys. Rev. B 99, 155125 (2019).
Vidal, R. C. et al. Surface states and Rashba-type spin polarization in antiferromagnetic MnBi2Te4(0001). Phys. Rev. B 100, 121104 (2019).
Hao, Y.-J. et al. Gapless surface Dirac cone in antiferromagnetic topological insulator MnBi2Te4. Phys. Rev. X 9, 041038 (2019).
Chen, Y. J. et al. Topological electronic structure and its temperature evolution in antiferromagnetic topological insulator MnBi2Te4. Phys. Rev. X 9, 041040 (2019).
Swatek, P. et al. Gapless Dirac surface states in the antiferromagnetic topological insulator MnBi2Te4. Phys. Rev. B 101, 161109 (2020).
Liu, C. et al. Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator. Nat. Mater. 19, 522–527 (2020).
Mogi, M. et al. Tailoring tricolor structure of magnetic topological insulator for robust axion insulator. Sci. Adv. 3, eaao1669 (2017).
Xiao, D. et al. Realization of the axion insulator state in quantum anomalous Hall sandwich heterostructures. Phys. Rev. Lett. 120, 056801 (2018).
Mogi, M. et al. A magnetic heterostructure of topological insulators as a candidate for an axion insulator. Nat. Mater. 16, 516–521 (2017).
Deng, Y. et al. Quantum anomalous Hall effect in intrinsic magnetic topological insulator MnBi2Te4. Science 367, 895–900 (2020).
Hu, C. et al. A van der Waals antiferromagnetic topological insulator with weak interlayer magnetic coupling. Nat. Commun. 11, 97 (2020).
Wu, J. et al. Natural van der Waals heterostructural single crystals with both magnetic and topological properties. Sci. Adv. 5, eaax9989 (2019).
Tian, S. J. et al. Magnetic topological insulator MnBi6Te10 with a zero-field ferromagnetic state and gapped Dirac surface states. Phys. Rev. B 102, 035144 (2020).
Tang, P., Zhou, Q., Xu, G. & Zhang, S.-C. Dirac fermions in an antiferromagnetic semimetal. Nat. Phys. 12, 1100–1104 (2016).
Wan, X., Turner, A. M., Vishwanath, A. & Savrasov, S. Y. Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates. Phys. Rev. B 83, 205101 (2011).
Sushkov, A. B. et al. Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7. Phys. Rev. B 92, 241108 (2015).
Yang, H. et al. Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn. New J. Phys. 19, 015008 (2017).
Kuroda, K. et al. Evidence for magnetic Weyl fermions in a correlated metal. Nat. Mater. 16, 1090–1095 (2017).
Wang, K., Graf, D., Lei, H., Tozer, S. W. & Petrovic, C. Quantum transport of two-dimensional Dirac fermions in SrMnBi2. Phys. Rev. B 84, 220401 (2011).
Guo, Y. F. et al. Coupling of magnetic order to planar Bi electrons in the anisotropic Dirac metals AMnBi2 (A = Sr,Ca). Phys. Rev. B 90, 075120 (2014).
Masuda, H. et al. Quantum Hall effect in a bulk antiferromagnet EuMnBi2 with magnetically confined two-dimensional Dirac fermions. Sci. Adv. 2, e1501117 (2016).
Wadley, P. et al. Electrical switching of an antiferromagnet. Science 351, 587–590 (2016).
Chen, X. et al. Electric field control of Néel spin–orbit torque in an antiferromagnet. Nat. Mater. 18, 931–935 (2019).
Pan, L. et al. Observation of quantum anomalous Hall effect and exchange interaction in topological insulator/antiferromagnet heterostructure. Adv. Mater. 32, e2001460 (2020).
Essin, A. M., Moore, J. E. & Vanderbilt, D. Magnetoelectric polarizability and axion electrodynamics in crystalline insulators. Phys. Rev. Lett. 102, 146805 (2009).
Fiebig, M. Revival of the magnetoelectric effect. J. Phys. D 38, R123–R152 (2005).
O’Dell, T. H. The electrodynamics of magneto-electric media. Philos. Mag. 7, 1653–1669 (1962).
Dzyaloshinskii, I. E. On the magneto-electrical effect in antiferromagnets. Sov. Phys. JETP 10, 628–629 (1960).
Hughes, T. L., Prodan, E. & Bernevig, B. A. Inversion-symmetric topological insulators. Phys. Rev. B 83, 245132 (2011).
Turner, A. M., Zhang, Y., Mong, R. S. K. & Vishwanath, A. Quantized response and topology of magnetic insulators with inversion symmetry. Phys. Rev. B 85, 165120 (2012).
Armitage, N. P. & Wu, L. On the matter of topological insulators as magnetoelectrics. SciPost Phys. 6, 046 (2019).
Peccei, R. D. & Quinn, H. R. CP conservation in the presence of pseudoparticles. Phys. Rev. Lett. 38, 1440–1443 (1977).
Wilczek, F. Problem of strong P and T invariance in the presence of instantons. Phys. Rev. Lett. 40, 279–282 (1978).
Weinberg, S. A new light boson? Phys. Rev. Lett. 40, 223–226 (1978).
Wilczek, F. Two applications of axion electrodynamics. Phys. Rev. Lett. 58, 1799–1802 (1987).
Nenno, D. M., Garcia, C. A. C., Gooth, J., Felser, C. & Narang, P. Axion physics in condensed-matter systems. Nat. Rev. Phys. 2, 682–696 (2020).
Zirnstein, H. G. & Rosenow, B. Topological magnetoelectric effect: nonlinear time‐reversal‐symmetric response, Witten effect, and half‐integer quantum Hall effect. Phys. Status Solidi B 257, 1900698 (2020).
Morimoto, T., Furusaki, A. & Nagaosa, N. Topological magnetoelectric effects in thin films of topological insulators. Phys. Rev. B 92, 085113 (2015).
Wang, J., Lian, B., Qi, X. L. & Zhang, S. C. Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state. Phys. Rev. B 92, 081107 (2015).
Wang, J., Lian, B. & Zhang, S.-C. Dynamical axion field in a magnetic topological insulator superlattice. Phys. Rev. B 93, 045115 (2016).
Allen, M. et al. Visualization of an axion insulating state at the transition between 2 chiral quantum anomalous Hall states. Proc. Natl Acad. Sci. USA 116, 14511–14515 (2019).
Chen, R. et al. Using nonlocal surface transport to identify the axion insulator. Phys. Rev. B 103, L241409 (2021).
Gu, M. et al. Spectral signatures of the surface anomalous Hall effect in magnetic axion insulators. Nat. Commun. 12, 3524 (2021).
Kurumaji, T. et al. Optical magnetoelectric resonance in a polar magnet (Fe,Zn)2Mo3O8 with axion-type coupling. Phys. Rev. Lett. 119, 077206 (2017).
Beenakker, C. Topological magnetoelectric effect versus quantum Faraday effect. J. Club Condens. Matter Phys. https://doi.org/10.36471/JCCM_April_2016_01 (2016).
Tse, W. K. & MacDonald, A. H. Giant magneto-optical Kerr effect and universal Faraday effect in thin-film topological insulators. Phys. Rev. Lett. 105, 057401 (2010).
Tse, W.-K. & MacDonald, A. H. Magneto-optical and magnetoelectric effects of topological insulators in quantizing magnetic fields. Phys. Rev. B 82, 161104 (2010).
Maciejko, J., Qi, X. L., Drew, H. D. & Zhang, S. C. Topological quantization in units of the fine structure constant. Phys. Rev. Lett. 105, 166803 (2010).
Okada, K. N. et al. Terahertz spectroscopy on Faraday and Kerr rotations in a quantum anomalous Hall state. Nat. Commun. 7, 12245 (2016).
Wu, L. et al. Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator. Science 354, 1124–1127 (2016).
Dziom, V. et al. Observation of the universal magnetoelectric effect in a 3D topological insulator. Nat. Commun. 8, 15197 (2017).
Koirala, N. et al. Record surface state mobility and quantum Hall effect in topological insulator thin films via interface engineering. Nano Lett. 15, 8245–8249 (2015).
Mondal, M. et al. Electric field modulated topological magnetoelectric effect in Bi2Se3. Phys. Rev. B 98, 121106 (2018).
Upadhyaya, P. & Tserkovnyak, Y. Domain wall in a quantum anomalous Hall insulator as a magnetoelectric piston. Phys. Rev. B 94, 020411 (2016).
Yasuda, K. et al. Quantized chiral edge conduction on domain walls of a magnetic topological insulator. Science 358, 1311–1314 (2017).
Rosen, I. T. et al. Chiral transport along magnetic domain walls in the quantum anomalous Hall effect. npj Quantum Mater. 2, 69 (2017).
Mahoney, A. C. et al. Zero-field edge plasmons in a magnetic topological insulator. Nat. Commun. 8, 1836 (2017).
Kurebayashi, D. & Nomura, K. Theory for spin torque in Weyl semimetal with magnetic texture. Sci. Rep. 9, 5365 (2019).
Araki, Y. & Nomura, K. Charge pumping induced by magnetic texture dynamics in Weyl semimetals. Phys. Rev. Appl. 10, 014007 (2018).
Crosse, J. A. Theory of topological insulator waveguides: polarization control and the enhancement of the magneto-electric effect. Sci. Rep. 7, 43115 (2017).
Semenov, Y. G., Duan, X. & Kim, K. W. Electrically controlled magnetization in ferromagnet-topological insulator heterostructures. Phys. Rev. B 86, 161406 (2012).
Amiri, P. K. & Wang, K. L. Voltage-controlled magnetic anisotropy in spintronic devices. Spin 2, 1240002 (2013).
Vaz, C. A. Electric field control of magnetism in multiferroic heterostructures. J. Phys. Condens. Matter 24, 333201 (2012).
Fert, A., Reyren, N. & Cros, V. Magnetic skyrmions: advances in physics and potential applications. Nat. Rev. Mater. 2, 17031 (2017).
Yasuda, K. et al. Geometric Hall effects in topological insulator heterostructures. Nat. Phys. 12, 555–559 (2016).
Liu, C. et al. Dimensional crossover-induced topological Hall effect in a magnetic topological insulator. Phys. Rev. Lett. 119, 176809 (2017).
Hamamoto, K., Ezawa, M. & Nagaosa, N. Quantized topological Hall effect in skyrmion crystal. Phys. Rev. B 92, 115417 (2015).
Acknowledgements
Q.L.H. acknowledges support from the National Key R&D Program of China (grant no. 2020YFA0308900 and no. 2018YFA0305601), the National Natural Science Foundation of China (grant no. 11874070) and the Strategic Priority Research Program of the Chinese Academy of Sciences (grant no. XDB28000000). Y.T. acknowledges support from JST CREST (no. JPMJCR16F1). K.L.W. acknowledges the support of the US National Science Foundation (ECCS 1611570), the ARO Multidisciplinary University Research Initiative (MURI) program under W911NF-16-1-047, the Energy Frontier Research Center funded by the US Department of Energy (DOE), Basic Energy Sciences (BES), under award no. DE-SC0012670, and the Raytheon Endowed Chair. T.L.H., N.P.A. and K.L.W. acknowledge support from the ARO MURI on ‘Axion Electrodynamics beyond Maxwell’s Equations’.
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He, Q.L., Hughes, T.L., Armitage, N.P. et al. Topological spintronics and magnetoelectronics. Nat. Mater. 21, 15–23 (2022). https://doi.org/10.1038/s41563-021-01138-5
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DOI: https://doi.org/10.1038/s41563-021-01138-5
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