# Effects of string cloud on Gauss-Bonnet holographic superconductors

## TL;DR

This paper investigates how a string cloud influences the properties of higher-dimensional Gauss-Bonnet holographic superconductors, revealing that string cloud density and Gauss-Bonnet terms significantly affect the critical temperature and phase transition behavior.

## Contribution

It provides an analytical study of the impact of string cloud and Gauss-Bonnet corrections on holographic superconductor phase transitions in higher dimensions.

## Key findings

- Critical temperature depends on string cloud density and charge density.
- String cloud density can prevent the existence of a critical temperature.
- Gauss-Bonnet terms decrease the critical temperature.

## Abstract

The effects of the string cloud on higher-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity are investigated in the probe limit. The critical temperature is analytically obtained using Sturm-Liouville eigenvalue method. It is observed that the critical temperature only exists in an allowed region of the parameter space. Also, the presence of the string cloud with the sufficiently large density should prevent the the existence of the critical temperature. As increasing the string cloud density parameter, the critical temperature decreases in the region of the sufficiently low charge density but increases in the region of the sufficiently high charge density. Whereas, the presence of Gauss-Bonnet terms always makes the critical temperature decreasing. In addition, the expression of the condensation operator and the critical exponent are computed analytically.