Holographic Fermi Surfaces and Entanglement Entropy

Abstract

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.

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

References in corpus (10)

• Holographic c-theorems in arbitrary dimensions
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Effective Holographic Theories for low-temperature condensed matter systems
• Critical fermi surfaces and non-fermi liquid metals
• Entanglement Entropy in the O(N) model
• Entanglement entropy of critical spin liquids
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Electron star birth: A continuous phase transition at nonzero density
• Strange metals and the AdS/CFT correspondence
• A controlled expansion for certain non-Fermi liquid metals

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