Helical Luttinger Liquids and three dimensional black holes

Joan Simon Soler, Vijay Balasubramanian, Finn Larsen, Inaki Garcia-Etxebarria

Research output: Contribution to journalLetterpeer-review

Abstract / Description of output

Cold interacting fermions in two dimensions form exactly solvable Luttinger liquids, whose characteristic scaling exponents differ from those of conventional Fermi liquids. We use the AdS/CFT correspondence to discuss an equivalence between a class of helical, strongly coupled Luttinger liquids and fermions propagating in the background of a 3D black hole. The microscopic Lagrangian is explicitly known and the construction is fully embeddable in string theory. The retarded Green function at low temperature and energy arises from the geometry very near the black hole horizon. This structure is universal for all cold, charged liquids with a dual description in gravity.
Original languageEnglish
Number of pages5
JournalPhysical Review D, particles, fields, gravitation, and cosmology
DOIs
Publication statusPublished - 30 Nov 2011

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