# Holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity

## TL;DR

This paper analytically explores the insulator/superconductor phase transition in higher-dimensional Gauss-Bonnet gravity, calculating critical chemical potentials and studying condensate and charge density behaviors across multiple dimensions.

## Contribution

It provides a general analytical framework for phase transition analysis in higher-dimensional Gauss-Bonnet AdS soliton backgrounds, extending previous numerical studies.

## Key findings

- Critical chemical potential values for various dimensions calculated.
- Condensation operator and charge density behaviors analyzed.
- Analytical results align well with existing numerical findings.

## Abstract

In this work, we have analytically investigated the insulator/superconductor phase transition in the presence of $d$-dimensional Gauss-Bonnet AdS soliton background. Using the Sturm-Liouville eigenvalue method, we have calculated the value of the critical chemical potential $\mu_c$ in any arbitrary dimension $d\geq 5$. We have then studied the condensation operator values and charge density in terms of the chemical potential and discussed the $d=5, 6, 7$ cases using our general results in $d$ dimensions. Our analytical results agree very well with the numerically findings in the literature.