Holographic Fermi surfaces and entanglement entropy
A bstract We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves a...
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| Published in | The journal of high energy physics Vol. 2012; no. 1 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer-Verlag
01.01.2012
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1029-8479 1029-8479 |
| DOI | 10.1007/JHEP01(2012)125 |
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| Abstract | A
bstract
We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids. |
|---|---|
| AbstractList | A
bstract
We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids. We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids. |
| ArticleNumber | 125 |
| Author | Ugajin, Tomonori Takayanagi, Tadashi Ogawa, Noriaki |
| Author_xml | – sequence: 1 givenname: Noriaki surname: Ogawa fullname: Ogawa, Noriaki organization: Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo – sequence: 2 givenname: Tadashi surname: Takayanagi fullname: Takayanagi, Tadashi email: tadashi.takayanagi@ipmu.jp organization: Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo – sequence: 3 givenname: Tomonori surname: Ugajin fullname: Ugajin, Tomonori organization: Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo |
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| Copyright | SISSA, Trieste, Italy 2012 SISSA, Trieste, Italy 2012. |
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| Keywords | AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) Black Holes |
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bstract
We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement... We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to... |
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| SubjectTerms | Classical and Quantum Gravitation Elementary Particles Entanglement Entropy Fermi liquids Fermi surfaces Gravitation High energy physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory Specific heat String Theory |
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| Title | Holographic Fermi surfaces and entanglement entropy |
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