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Domain wall topological entanglement entropy

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arxiv 2008.11794 v2 pith:AWUPONOP submitted 2020-08-26 cond-mat.str-el hep-thquant-ph

Bowen Shi , Isaac H. Kim This is my paper · ORCID
classification cond-mat.str-elhep-thquant-ph
keywords entanglementdomainentropyground-statewallbootstrapcorrectionderive
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We study the ground-state entanglement of gapped domain walls between topologically ordered systems in two spatial dimensions. We derive a universal correction to the ground-state entanglement entropy, which is equal to the logarithm of the total quantum dimension of a set of superselection sectors localized on the domain wall. This expression is derived from the recently proposed entanglement bootstrap method.

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    A symmetry-free entropy search on four-site states recovers known CFTs and yields unclassified candidate CFTs with 1<c<2.

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