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Gauge/gravity duality applied to condensed matter systems
Author(s) -
Ammon M.
Publication year - 2010
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201000080
Subject(s) - physics , supergravity , duality (order theory) , string theory , theoretical physics , fermion , gauge theory , scale invariance , superconductivity , string (physics) , invariant (physics) , quantum mechanics , supersymmetry , mathematics , discrete mathematics
In this review we investigate phenomena of strongly‐coupled quantum critical theories, which also appear in condensed matter systems. Using the AdS/CFT correspondence, a technique motivated by string theory, the strongly‐coupled scale‐invariant theories can be related to gravity theories at weak coupling. Within this framework we study the holographic description of superconductors and the emerging fermi surface of strongly coupled fermions. We also calculate the conductivity of alternating currents and determine the direct current conductivity for (non‐) relativistic systems beyond linear response. Since the explicit string theory construction in terms of probe branes embedded in type IIB supergravity is explicitly known, we are able to identify the dual operators on the field theory side and can compare the effects at weak and strong coupling.