Holographic Fermi Surfaces and Entanglement Entropy

Details Holographic Fermi Surfaces and Entanglement Entropy Holographic Fermi Surfaces and Entanglement Entropy

2011-11-04

arxiv.org/abs/1111.1023v4

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 4 figures, latex, references added, minor corrections (v2,3), figures improved and typos corrected (v4)

Scientific paper

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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