Bekenstein-Hawking Entropy and Strange Metals
arXiv:1506.05111 · doi:10.1103/PhysRevX.5.041025
Abstract
We examine models of fermions with infinite-range interactions which realize non-Fermi liquids with a continuously variable U(1) charge density , and a non-zero entropy density at vanishing temperature. Real time correlators of operators carrying U(1) charge at a low temperature are characterized by a -dependent frequency which determines a spectral asymmetry. We show that the correlators match precisely with those of the AdS horizons of extremal charged black holes. On the black hole side, the matching employs as the Bekenstein-Hawking entropy density, and the laws of black hole thermodynamics which relate to the electric field strength in AdS. The fermion model entropy is computed using the microscopic degrees of freedom of a UV complete theory without supersymmetry.
23 pages, 2 figures; (v2, v3, v4) added refs and clarifications
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