Holographic quantum criticality from multi-trace deformations

We explore the consequences of multi-trace deformations in applications of gauge-gravity duality to condensed matter physics. We find that they introduce a powerful new “knob” that can implement spontaneous symmetry breaking, and can be used to construct a new type of holographic superconductor. Thi...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2011; no. 4
Main Authors Faulkner, Thomas, Horowitz, Gary T., Roberts, Matthew M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.04.2011
Springer Nature B.V
Subjects
Broken symmetry
Classical and Quantum Gravitation
Condensed matter physics
Critical point
Critical temperature
Deformation
Elementary Particles
High energy physics
Mathematical analysis
Order parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
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Summary:We explore the consequences of multi-trace deformations in applications of gauge-gravity duality to condensed matter physics. We find that they introduce a powerful new “knob” that can implement spontaneous symmetry breaking, and can be used to construct a new type of holographic superconductor. This knob can be tuned to drive the critical temperature to zero, leading to a new quantum critical point. We calculate nontrivial critical exponents, and show that fluctuations of the order parameter are ‘locally’ quantum critical in the disordered phase. Most notably the dynamical critical exponent is determined by the dimension of an operator at the critical point. We argue that the results are robust against quantum corrections and discuss various generalizations.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2011)051