The existence of topological hinge states is a key signature for a newly proposed class of topological matter, the second-order topological insulators. In the present paper, a universal mechanism to generate chiral hinge states in the ferromagnetic axion insulator phase is introduced, which leads to an exotic transport phenomenon, the quantum anomalous Hall effect (QAHE) on some particular surfaces determined by both the crystalline symmetry and the magnetization direction. A realistic material system, Sm-doped Bi2Se3, is then proposed to realize such exotic hinge states by combining first-principles calculations and Green’s function techniques. A physically accessible way to manipulate the surface QAHE is also proposed, which makes it very different from the QAHE in ordinary 2D systems.
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The data that support the findings of this study are available from the corresponding authors upon reasonable request.
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We thank B.A. Bernevig and T. Neupert for helpful discussions. X.D., C.F. and H.M.W. are supported by the Ministry of Science and Technology of China (grant no. 2016YFA0300600) and the K.C. Wong Education Foundation (grant no. GJTD-2018-01). X.D. acknowledges financial support from the Hong Kong Research Grants Council (project no. GRF16300918). C.F. acknowledges financial support from the Ministry of Science and Technology of China (grant no. 2016YFA0302400), the Natural Science Foundation of China (grant no. 11674370), the Chinese Academy of Sciences (no. XXH13506-202, XDB28000000), the Beijing Municipal Science & Technology Commission (no. Z181100004218001) and the Beijing Natural Science Foundation (no. Z180008). H.M.W. is also supported by the Ministry of Science and Technology of China (grant no. 2018YFA0305700), the National Natural Science Foundation (grant no. 11674369) and the Science Challenge Project (no. TZ2016004). Y.-M.L. acknowledges the NSF under award number DMR-1653769.
The authors declare no competing interests.
Journal peer review information: Nature Physics thanks Minoru Kawamura, Titus Neupert and other anonymous reviewer(s) for their contribution to the peer review of this work.
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Proceedings of the National Academy of Sciences (2019)
Physical Review Letters (2019)
Physical Review B (2019)