Entanglement Entropy and the Fermi Surface
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...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/61344 |
| _version_ | 1826213079192436736 |
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| author | Swingle, Brian Gordon |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Swingle, Brian Gordon |
| author_sort | Swingle, Brian Gordon |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:43:17Z |
| format | Article |
| id | mit-1721.1/61344 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:43:17Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/613442022-09-29T15:42:50Z Entanglement Entropy and the Fermi Surface Swingle, Brian Gordon Massachusetts Institute of Technology. Department of Physics Swingle, Brian Gordon Swingle, Brian Gordon 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. Perimeter Institute for Theoretical Physics 2011-02-25T16:50:23Z 2011-02-25T16:50:23Z 2010-07 2010-03 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/61344 Swingle, Brian. “Entanglement Entropy and the Fermi Surface.” Physical Review Letters 105.5 (2010): 050502. © 2010 The American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevLett.105.050502 Physical Review Letters 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. application/pdf American Physical Society APS |
| spellingShingle | Swingle, Brian Gordon Entanglement Entropy and the Fermi Surface |
| title | Entanglement Entropy and the Fermi Surface |
| title_full | Entanglement Entropy and the Fermi Surface |
| title_fullStr | Entanglement Entropy and the Fermi Surface |
| title_full_unstemmed | Entanglement Entropy and the Fermi Surface |
| title_short | Entanglement Entropy and the Fermi Surface |
| title_sort | entanglement entropy and the fermi surface |
| url | http://hdl.handle.net/1721.1/61344 |
| work_keys_str_mv | AT swinglebriangordon entanglemententropyandthefermisurface |