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|Abstract:||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.|
|Citation:||Alexandradinata, A, Hughes, Taylor L, Bernevig, B Andrei. (2011). Trace index and spectral flow in the entanglement spectrum of topological insulators. PHYSICAL REVIEW B, 84 (10.1103/PhysRevB.84.195103|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||PHYSICAL REVIEW B|
|Version:||Final published version. Article is made available in OAR by the publisher's permission or policy.|
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