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Band Topology of Insulators via the Entanglement Spectrum | | Ari M. Turner
; Yi Zhang
; Ashvin Vishwanath
; | | Date: |
17 Sep 2009 | | Abstract: | How do we uniquely identify a quantum phase, given its ground state
wave-function? This is a key question for many body theory especially when we
consider phases, like topological insulators, that share the same symmetry but
differ at the level of topology. The entanglement spectrum has been proposed as
a ground state property that captures characteristic edge excitations. Here we
study the entanglement spectrum of topological insulators. We first show that
insulators with topological surface states will necessarily also have protected
modes in the entanglement spectrum. However, surprisingly, the converse is not
true. Protected entanglement modes can also appear for insulators without
physical surface states, in which case they capture a more elusive topological
property. This is illustrated by considering insulators with only inversion
symmetry. Inversion is shown to act in an unusual way on the entanglement
spectrum, that leads to this protection. A connection is made to the
magneto-electric polarizability, which is forced by inversion symmetry to be
quantized. | | Source: | arXiv, 0909.3119 | | Services: | Forum | Review | PDF | Favorites | |
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