title: Thickness Dependence of the Quantum Anomalous Hall Effect in Magnetic Topological Insulator Films.
abstract: The evolution of the quantum anomalous Hall effect with the thickness of Cr-doped (Bi,Sb)2 Te3 magnetic topological insulator films is studied, revealing how the effect is caused by the interplay of the surface states, band-bending, and ferromagnetic exchange energy. Homogeneity in ferromagnetism is found to be the key to high-temperature quantum anomalous Hall material.
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
authors.forename: Xiao
authors.initials: X
authors.lastname: Feng
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.
authors.forename: Yang
authors.initials: Y
authors.lastname: Feng
authors.affiliation: Department of Physics, Stanford University, Stanford, CA, 94305-4045, USA.|State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai, 200433, China.
authors.forename: Jing
authors.initials: J
authors.lastname: Wang
authors.affiliation: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
authors.forename: Yunbo
authors.initials: Y
authors.lastname: Ou
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.
authors.forename: Zhenqi
authors.initials: Z
authors.lastname: Hao
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.
authors.forename: Chang
authors.initials: C
authors.lastname: Liu
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.
authors.forename: Zuocheng
authors.initials: Z
authors.lastname: Zhang
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
authors.forename: Liguo
authors.initials: L
authors.lastname: Zhang
authors.affiliation: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
authors.forename: Chaojing
authors.initials: C
authors.lastname: Lin
authors.affiliation: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
authors.forename: Jian
authors.initials: J
authors.lastname: Liao
authors.affiliation: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
authors.forename: Yongqing
authors.initials: Y
authors.lastname: Li
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing, 100084, China.
authors.forename: Li-Li
authors.initials: LL
authors.lastname: Wang
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing, 100084, China.
authors.forename: Shuai-Hua
authors.initials: SH
authors.lastname: Ji
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing, 100084, China.
authors.forename: Xi
authors.initials: X
authors.lastname: Chen
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing, 100084, China.
authors.forename: Xucun
authors.initials: X
authors.lastname: Ma
authors.affiliation: Department of Physics, Stanford University, Stanford, CA, 94305-4045, USA.
authors.forename: Shou-Cheng
authors.initials: SC
authors.lastname: Zhang
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing, 100084, China.
authors.forename: Yayu
authors.initials: Y
authors.lastname: Wang
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing, 100084, China.
authors.forename: Ke
authors.initials: K
authors.lastname: He
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing, 100084, China.
authors.forename: Qi-Kun
authors.initials: QK
authors.lastname: Xue
keywords: magnetic topological insulators; quantum anomalous Hall effect; thickness dependence; thin films