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Entanglement Spectrum of Topological Insulators and Superconductors

Fidkowski, Lukasz (2010) Entanglement Spectrum of Topological Insulators and Superconductors. Physical Review Letters, 104 (13). Art. No. 130502. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20100517-095118661

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.104.130502 DOIUNSPECIFIED
http://prl.aps.org/abstract/PRL/v104/i13/e130502PublisherUNSPECIFIED
Additional Information:© 2010 The American Physical Society. Received 13 January 2010; revised manuscript received 5 February 2010; published 2 April 2010. I would like to acknowledge useful discussions with Alexei Kitaev, John Preskill, Gil Refael, Andrei Bernevig, and especially Jason Alicea. This work was supported in part by the institute for Quantum Information under National Science Foundation Grant No. PHY-0803371.
Funders:
Funding AgencyGrant Number
NSFPHY-0803371
Issue or Number:13
Classification Code:PACS: 03.67.Mn, 03.65.Vf, 73.43.-f, 74.25.-q.
Record Number:CaltechAUTHORS:20100517-095118661
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100517-095118661
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18321
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 May 2010 16:26
Last Modified:03 Oct 2019 01:41

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