A Note on Gauss-Bonnet Holographic Superconductors

TL;DR

This paper analytically studies how backreaction in Einstein-Gauss-Bonnet gravity affects the critical temperature of (3+1)-dimensional holographic superconductors, showing that backreaction lowers the critical temperature and makes condensation more difficult.

Contribution

It provides an analytic approach to understanding the impact of backreaction on holographic superconductor phase transitions in Einstein-Gauss-Bonnet gravity.

Findings

Backreaction decreases the critical temperature.

Backreaction makes condensation more difficult.

Results are consistent with previous numerical studies.

Abstract

We present an analytic treatment near the phase transition for the critical temperature of (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity with backreaction. We find that the backreaction makes the critical temperature of the superconductor decrease and condensation harder. This is consistent with previous numerical results.