Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity

TL;DR

This paper analytically studies the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity using the Sturm-Liouville method, providing insights into critical phenomena and supporting numerical results.

Contribution

It introduces an effective analytical approach to examine phase transitions in Gauss-Bonnet gravity, enhancing understanding of holographic models with higher curvature corrections.

Findings

Analytic expressions for condensation and critical temperature.

Validation of numerical results with analytical methods.

Insights into the effects of Gauss-Bonnet correction on phase transition.

Abstract

We employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition between the holographic insulator and superconductor in the Gauss-Bonnet gravity. By investigating the s-wave and p-wave holographic insulator/superconductor models, we find that this analytic method is more effective to obtain the analytic results on the condensation and the critical phenomena in the AdS soliton background in Gauss-Bonnet gravity. Our analytic result can be used to back up the numerical computations in the AdS soliton with Gauss-Bonnet correction.