Published April 2, 2010
| Published
Journal Article
Open
Entanglement Spectrum of Topological Insulators and Superconductors
- Creators
- Fidkowski, Lukasz
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.
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.Attached Files
Published - Fidkowski2010p9874Phys_Rev_Lett.pdf
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Fidkowski2010p9874Phys_Rev_Lett.pdf
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Additional details
- Eprint ID
- 18321
- Resolver ID
- CaltechAUTHORS:20100517-095118661
- PHY-0803371
- NSF
- Created
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2010-05-19Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field