Authors: Johanna Erdmenger Patrick Kerner Steffen Müller
Publish Date: 2012/10/02
Volume: 2012, Issue: 10, Pages: 21-
Abstract
Gauge/gravity duality has proved to be a very successful tool for describing strongly coupled systems in particle physics and heavy ion physics The application of the gauge/gravity duality to quantum matter is a promising candidate to explain questions concerning nonzero temperature dynamics and transport coefficients To a large extent the success of applications of gauge/gravity duality to the quarkgluon plasma is founded on the derivation of a universal result the famous ratio of shear viscosity and entropy density As a base for applications to condensed matter physics it is highly desirable to have a similar universal relation in this context as well A candidate for such a universal law is given by Homes’ law high T c superconductors as well as some conventional superconductors exhibit a universal scaling relation between the superfluid density at zero temperature and the conductivity at the critical temperature times the critical temperature itself In this work we describe progress in employing the models of holographic superconductors to realize Homes’ law and to find a universal relation governing strongly correlated quantum matter We calculate diffusive processes including the backreaction of the gravitational matter fields on the geometry We consider both holographic swave and pwave superconductors We show that a particular form of Homes’ law holds in the absence of backreaction Moreover we suggest further steps to be taken for holographically realizing Homes’ law more generally in the presence of backreaction
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