Holographic p-wave Superconductor with Disorder

TL;DR

This paper investigates the impact of disorder on a holographic p-wave superconductor, revealing that moderate disorder can enhance superconductivity and analyzing how different disorder types influence spectral properties.

Contribution

It introduces a model with random chemical potential to study disorder effects on p-wave superconductors, exploring orientation dependence and spectral responses.

Findings

Moderate disorder enhances the condensate.

Disorder influences spectral properties with universal linear responses.

Different disorder types affect the condensate and charge density spectra.

Abstract

We implement the effects of disorder on a holographic p-wave superconductor by introducing a random chemical potential which defines the local energy of the charge carriers. Since there are various possibilities for the orientation of the vector order parameter, we explore the behavior of the condensate in the parallel and perpendicular directions to the introduced disorder. We clarify the nature of various branches representing competing solutions and construct the disordered phase diagram. We find that moderate disorder enhances superconductivity as determined by the value of the condensate. Though we mostly focus on uncorrelated noise, we also consider a disorder characterized by its spectral properties and study in detail its influence on the spectral properties of the condensate and charge density. We find fairly universal responses of the resulting power spectra characterized by linear functions of the disorder power spectrum.