A model of a Fermi liquid using gauge-gravity duality

Details A model of a Fermi liquid using gauge-gravity duality A model of a Fermi liquid using gauge-gravity duality

2011-07-26

arxiv.org/abs/1107.5321v2

Physical Review D 84, 066009 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures; (v2) added clarifications

Scientific paper

10.1103/PhysRevD.84.066009

We use gauge-gravity duality to model the crossover from a conformal critical point to a confining Fermi liquid, driven by a change in fermion density. The short-distance conformal physics is represented by an anti-de Sitter geometry, which terminates into a confining state along the emergent spatial direction. The Luttinger relation, relating the area enclosed by the Fermi surfaces to the fermion density, is shown to follow from Gauss's Law for the bulk electric field. We argue that all low energy modes are consistent with Landau's Fermi liquid theory. An explicit solution is obtained for the Fermi liquid for the case of hard-wall boundary conditions in the infrared.

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