Relaxed superconductors

A bstract Momentum relaxation can be built into many holographic models without sacrificing homogeneity of the bulk solution. In this paper we study two such models: one in which translational invariance is broken in the dual theory by spatially-dependent sources for massless scalar fields and anoth...

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Bibliographic Details
Published in:The journal of high energy physics 2015-06, Vol.2015 (6), p.1-23, Article 140
Main Authors: Andrade, Tomás, Gentle, Simon A.
Format: Article
Language:English
Subjects:
Charging
Classical and Quantum Gravitation
Elementary Particles
Fluids
High energy physics
Low frequencies
Mathematical models
Physics
Physics and Astronomy
Poles
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Resistivity
Scalars
String Theory
Superconductors
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Summary:A bstract Momentum relaxation can be built into many holographic models without sacrificing homogeneity of the bulk solution. In this paper we study two such models: one in which translational invariance is broken in the dual theory by spatially-dependent sources for massless scalar fields and another that features an additional neutral scalar field. We turn on a charged scalar field in order to explore the condensation of a charged scalar operator in the dual theories. After demonstrating that the relaxed superconductors we construct are thermodynamically relevant, we find that the finite DC electrical conductivity of the normal phase is replaced by a superfluid pole in the broken phase. Moreover, when the normal phase possesses a Drude behaviour at low frequencies, the optical conductivity of the broken phase at low frequencies can be described by a two-fluid model that is a sum of a Drude peak and a superfluid pole, as was found recently for inhomogeneous holographic superconductors. We also study cases in which this low-frequency behavior does not hold. We find that the Drude description is accurate when the retarded current-current correlator has a purely-dissipative pole that is well-separated from the rest of the excitations.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2015)140