期刊
PHYSICAL REVIEW B
卷 84, 期 19, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.195103
关键词
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资金
- Princeton University
- NSF [DMR-095242]
- NSF at the University of Illinois [DMR-0758462]
- ICMT
- ONR [N00014-11-1-0635]
- DARPA [N66001-11-1-4110]
- NSF-MRSEC [DMR-0819860]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [819860] Funding Source: National Science Foundation
We investigate the entanglement spectra of topological insulators, which manifest edge states on a lattice with spatial boundaries. In the physical energy spectrum, a subset of the edge states that intersect the Fermi level translates to discontinuities in the trace of the single-particle entanglement spectrum, which we call a trace index. We find that any free-fermion topological insulator that exhibits spectral flow has a nonvanishing trace index, which provides us with a new description of topological invariants. In addition, we identify the signatures of spectral flow in the single-particle and many-body entanglement spectrum; in the process we present new methods to extract topological invariants and establish a connection between entanglement and quantum Hall physics.
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