Conductivity of Strongly Coupled Striped Superconductor

TL;DR

This paper uses holography to analytically study the conductivity of a strongly coupled striped superconductor, revealing inhomogeneous and anisotropic behaviors near the critical temperature.

Contribution

It provides an analytical analysis of conductivity in a strongly coupled striped superconductor, highlighting inhomogeneity and anisotropy at different temperature regimes.

Findings

Optical conductivity is inhomogeneous but isotropic at low temperatures.

Near the critical temperature, conductivity becomes inhomogeneous and anisotropic.

The anisotropy in conductivity is imaginary and scales as 1/omega.

Abstract

We study the conductivity of a strongly coupled striped superconductor using gauge/gravity duality (holography). The study is done analytically, in the large modulation regime. We show that the optical conductivity is inhomogeneous but isotropic at low temperatures. Near but below the critical temperature, we calculate the conductivity analytically at small frequency \omega, and find it to be both inhomogeneous and anisotropic. The anisotropy is imaginary and scales like 1/\omega. We also calculate analytically the speed of the second sound and the thermodynamic susceptibility.