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Hidden Fermi surfaces in compressible states of gauge-gravity duality

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arxiv 1112.0573 v3 pith:LJAY7VWO submitted 2011-12-02 cond-mat.str-el hep-th

classification cond-mat.str-elhep-th
keywords fermimetricsurfacesentropyhiddencompressibledensityentanglement
verification ladder T0 review T1 audit T2 compute T3 formal

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General scaling arguments, and the behavior of the thermal entropy density, are shown to lead to an infrared metric holographically representing a compressible state with hidden Fermi surfaces. This metric is characterized by a general dynamic critical exponent, z, and a specific hyperscaling violation exponent, \theta. The same metric exhibits a logarithmic violation of the area law of entanglement entropy, as shown recently by Ogawa et al. (arXiv:1111.1023). We study the dependence of the entanglement entropy on the shape of the entangling region(s), on the total charge density, on temperature, and on the presence of additional visible Fermi surfaces of gauge-neutral fermions; for the latter computations, we realize the needed metric in an Einstein-Maxwell-dilaton theory. All our results support the proposal that the holographic theory describes a metallic state with hidden Fermi surfaces of fermions carrying gauge charges of deconfined gauge fields.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  2. The negativity contour: a quasi-local measure of entanglement for mixed states

    hep-th 2019-08 conditional novelty 7.0 of 10

    The authors define a computable negativity contour via a derivative of logarithmic negativity, verify it against a Gaussian ansatz, and apply it to Fermi surfaces, holographic non-Fermi liquids, and thermalization.

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    hep-th 2019-08 conditional novelty 6.0 of 10

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