Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-12-02
Physical Review B 85, 035121 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
33 pages, 5 figures; (v2) added refs, corrected typos, and modified figure; (v3) added table summarizing results
Scientific paper
10.1103/PhysRevB.85.035121
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.
Huijse Liza
Sachdev Subir
Swingle Brian
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