Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2010/11/P11022
Keywords
conformal field theory (theory); Kondo effect (theory); spin liquids (theory)
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Funding
- National Science Foundation [DMR-0757145]
- AFOSR
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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 an 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 an AdS(2) x R-2 geometry is argued to be related to such mean-field solutions of Kondo lattice models.
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