Entanglement Entropy and the Fermi Surface
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Swingle-2010-Entanglement Entropy.pdf
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182.21 KB
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Author(s)
Swingle, Brian Gordon
Date Issued
July 2010
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Swingle, Brian. “Entanglement Entropy and the Fermi Surface.” Physical Review Letters 105.5 (2010): 050502. © 2010 The American Physical Society.
Version
Final published version
Abstract
Free fermions with a finite Fermi surface are known to exhibit an anomalously large entanglement entropy. The leading contribution to the entanglement entropy of a region of linear size L in d spatial dimensions is S∼L[superscript d-1]logL, a result that should be contrasted with the usual boundary law S∼L[superscript d-1]. This term depends only on the geometry of the Fermi surface and on the boundary of the region in question. I give an intuitive account of this anomalous scaling based on a low energy description of the Fermi surface as a collection of one-dimensional gapless modes. Using this picture, I predict a violation of the boundary law in a number of other strongly correlated systems.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.105.050502
