Entanglement Spectrum of a Disordered Topological Chern Insulator

被引:207
作者
Prodan, Emil [1 ]
Hughes, Taylor L. [2 ]
Bernevig, B. Andrei [3 ]
机构
[1] Yeshiva Univ, Dept Phys, New York, NY 10016 USA
[2] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
[3] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
基金
美国国家科学基金会;
关键词
HGTE QUANTUM-WELLS; MODEL;
D O I
10.1103/PhysRevLett.105.115501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the behavior of a topological Chern insulator in the presence of disorder, with a focus on its entanglement spectrum (EtS) constructed from the ground state. For systems with symmetries, the EtS was shown to contain explicit information about the topological universality class revealed by sorting the EtS against the conserved quantum numbers. In the absence of any symmetry, we demonstrate that statistical methods such as the level statistics of the EtS can be equally insightful, allowing us to distinguish when an insulator is in a topological or trivial phase and to map the boundary between the two phases. The phase diagram of a Chern insulator is explicitly computed as function of Fermi level (E(F)) and disorder strength using the level statistics of the EtS and energy spectrum, together with a computation of the Chern number (C) via a new, efficient real-space formula.
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页数:4
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