Journal
PHYSICAL REVIEW LETTERS
Volume 105, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.105.115501
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Funding
- Princeton Startup Funds
- Alfred P. Sloan Foundation
- NSF [DMR-095242]
- NSF, University of Illinois [DMR 0758462]
- ICMT
- Research Corporation for Science Advancement
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0758462] Funding Source: National Science Foundation
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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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