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Phys Rev Lett. 2010 Apr 2;104(13):130502. Epub 2010 Apr 2.

Entanglement spectrum of topological insulators and superconductors.

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California Institute of Technology, Pasadena, California 91125, USA.


We study two a priori unrelated constructions: the spectrum of edge modes in a band topological insulator or superconductor with a physical edge, and the ground state entanglement spectrum in an extended system where an edge is simulated by an entanglement bipartition. We prove an exact relation between the ground state entanglement spectrum of such a system and the spectrum edge modes of the corresponding spectrally flattened Hamiltonian. In particular, we show that gapless edge modes result in degeneracies of the entanglement spectrum.

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