# Strange Metals and the AdS/CFT Correspondence

 Title: Strange Metals and the AdS/CFT Correspondence Author: Sachdev, Subir Citation: Sachdev, Subir. 2010. Strange metals and the AdS/CFT correspondence. Journal of Statistical Mechanics: Theory and Experiment 2010: P11022. Full Text & Related Files: 1010.0682v3.pdf (383.4Kb; PDF) Abstract: I begin with a review of quantum impurity models in condensed matter physics, in which a localized spin degree of freedom is coupled to an interacting conformal field theory in $$d$$ = 2 spatial dimensions. Their properties are similar to those of supersymmetric generalizations which can be solved by the AdS/CFT correspondence; the low energy limit of the latter models is described by a $$AdS_2$$ geometry. Then I turn to Kondo lattice models, which can be described by a mean- field theory obtained by a mapping to a quantum impurity coupled to a self-consistent environment. Such a theory yields a 'fractionalized Fermi liquid' phase of conduction electrons coupled to a critical spin liquid state, and is an attractive mean-field theory of strange metals. The recent holographic description of strange metals with a $$AdS_2 \times R^2$$ geometry is argued to be related to such mean-field solutions of Kondo lattice models. Published Version: doi://10.1088/1742-5468/2010/11/P11022 Other Sources: http://arxiv.org/abs/1010.0682v3 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:7524883 Downloads of this work: