Holographic Fermi Surfaces and Entanglement Entropy

Nov, 2011
23 pages
Published in:
  • JHEP 01 (2012) 125
e-Print:
Report number:
  • IPMU11-0180

Citations per year

201120142017202020230102030405060
Abstract: (arXiv)
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.
Note:
  • 23 pages, 4 figures, latex, references added, minor corrections (v2,3), figures improved and typos corrected (v4)
  • entropy: entanglement
  • gravitation: duality
  • gravitation: classical
  • specific heat
  • surface
  • Fermi liquid
  • null-energy condition
  • field theory: conformal
  • duality: holography
  • potential: chemical
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