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 inThe journal of high energy physics Vol. 2012; no. 1
Main Authors Ogawa, Noriaki, Takayanagi, Tadashi, Ugajin, Tomonori
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.01.2012
Springer Nature B.V
Subjects
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
AdS-CFT Correspondence
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
Black Holes
Online AccessGet full text
ISSN1029-8479
1029-8479
DOI10.1007/JHEP01(2012)125

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Summary: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.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2012)125