Observing the inhomogeneity in the holographic models of superconductors

TL;DR

This paper investigates how inhomogeneity affects holographic superconductor models by analyzing their gravity duals in different backgrounds, revealing impacts on condensation, critical parameters, and potential phenomenological indicators.

Contribution

It introduces a detailed analysis of inhomogeneity effects in holographic superconductor models within AdS backgrounds, highlighting new dependencies and potential indicators.

Findings

Inhomogeneity influences condensation and critical temperature/chemical potential.

Pair susceptibility and conductivity are proposed as indicators of inhomogeneity.

Different spacetime backgrounds exhibit distinct inhomogeneity effects.

Abstract

We study the gravity duals of striped holographic superconductors in the AdS black hole and AdS soliton backgrounds. We show the dependences of the condensation and the critical temperature/critical chemical potential on the inhomogeneity in these two different spacetimes. By exploring the dynamics of the normal phase through the scalar field perturbation, we argue that the pair susceptibility and the conductivity can be possible phenomenological indications to disclose the property of inhomogeneity.