Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-08-14
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
21 pages, 9 figures
Scientific paper
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 non-vanishing 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.
Alexandradinata A.
Bernevig Andrei B.
Hughes Taylor L.
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