Entanglement spectrum of topological insulators and superconductors

Details Entanglement spectrum of topological insulators and superconductors Entanglement spectrum of topological insulators and superconductors

2009-09-14

arxiv.org/abs/0909.2654v4

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure. v4

Scientific paper

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 degeneracies of the entanglement spectrum correspond to gapless edge modes.

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