# Hidden Fermi Surfaces in Compressible States of Gauge-Gravity Duality

 Title: Hidden Fermi Surfaces in Compressible States of Gauge-Gravity Duality Author: Huijse, Liza; Sachdev, Subir; Swingle, Brian Note: Order does not necessarily reflect citation order of authors. Citation: Huijse, Liza, Subir Sachdev, and Brian Swingle. 2012. Hidden Fermi surfaces in compressible states of gauge-gravity duality. Physical Review B 85(3): 035121. Full Text & Related Files: 1112.0573v3.pdf (700.1Kb; PDF) Abstract: 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. [e-print arXiv:1111.1023 (unpublished)]. 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. Published Version: doi:10.1103/PhysRevB.85.035121 Other Sources: http://arxiv.org/abs/1112.0573 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8166514

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