# Fermi Surfaces and Gauge-Gravity Duality

 Title: Fermi Surfaces and Gauge-Gravity Duality Author: Huijse, Liza; Sachdev, Subir Note: Order does not necessarily reflect citation order of authors. Citation: Huijse, Liza, and Subir Sachdev. 2011. Fermi surfaces and gauge-gravity duality. Physical Review D 84(2): 026001. Full Text & Related Files: 1104.5022v2.pdf (733.8Kb; PDF) Abstract: We give a unified overview of the zero temperature phases of compressible quantum matter: i.e. phases in which the expectation value of a globally conserved $$U(1)$$ density, $$Q$$, varies smoothly as a function of parameters. Provided the global $$U(1)$$ and translational symmetries are unbroken, such phases are expected to have Fermi surfaces, and the Luttinger theorem relates the volumes enclosed by these Fermi surfaces to <$$Q$$>. We survey models of interacting bosons and/or fermions and/or gauge fields which realize such phases. Some phases have Fermi surfaces with the singularities of Landau's Fermi liquid theory, while other Fermi surfaces have non-Fermi liquid singularities. Compressible phases found in models applicable to condensed matter systems are argued to also be present in models obtained by applying chemical potentials (and other deformations allowed by the residual symmetry at non-zero chemical potential) to the paradigmic supersymmetric gauge theories underlying gauge-gravity duality: the ABJM model in spatial dimension $$d=2$$, and the $$N=4$$ SYM theory in $$d=3$$. Published Version: doi://10.1103/PhysRevD.84.026001 Other Sources: http://arxiv.org/abs/1104.5022 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:7498786

### This item appears in the following Collection(s)

• FAS Scholarly Articles [7362]
Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University