Ward identity and Homes’ law in a holographic superconductor with momentum relaxation

A bstract We study three properties of a holographic superconductor related to conductivities, where momentum relaxation plays an important role. First, we find that there are constraints between electric, thermoelectric and thermal conductivities. The constraints are analytically derived by the War...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics 2016-10, Vol.2016 (10), p.1-33, Article 41
Main Authors: Kim, Kyung Kiu, Park, Miok, Kim, Keun-Young
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Direct current
Electrical conductivity
Elementary Particles
High energy physics
Instability
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Resistivity
Scalars
Stability
String Theory
Superconductors
Thermal conductivity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A bstract We study three properties of a holographic superconductor related to conductivities, where momentum relaxation plays an important role. First, we find that there are constraints between electric, thermoelectric and thermal conductivities. The constraints are analytically derived by the Ward identities regarding diffeomorphism from field theory perspective. We confirm them by numerically computing all two-point functions from holographic perspective. Second, we investigate Homes’ law and Uemura’s law for various high-temperature and conventional superconductors. They are empirical and (material independent) universal relations between the superfluid density at zero temperature, the transition temperature, and the electric DC conductivity right above the transition tem-perature. In our model, it turns out that the Homes’ law does not hold but the Uemura’s law holds at small momentum relaxation related to coherent metal regime. Third, we explicitly show that the DC electric conductivity is finite for a neutral scalar instability while it is infinite for a complex scalar instability. This shows that the neutral scalar instability has nothing to do with superconductivity as expected.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2016)041