Gauss-Bonnet Holographic Superconductors

TL;DR

This paper investigates five-dimensional Einstein-Gauss-Bonnet holographic superconductors, analyzing how backreaction and higher curvature effects influence critical temperature, conductivity, and energy gap ratios, revealing non-universal behavior.

Contribution

It provides a combined numerical and analytical study of holographic superconductors with Gauss-Bonnet gravity, highlighting the complex effects on critical temperature and energy gap ratios.

Findings

Critical temperature decreases with backreaction.

Gauss-Bonnet coupling first decreases then increases critical temperature.

Higher curvature increases the energy gap ratio.

Abstract

We study holographic superconductors in five dimensional Einstein-Gauss-Bonnet gravity both numerically and analytically. We find the critical temperature of the superconductor decreases as backreaction is increased, although the effect of the Gauss-Bonnet coupling is more subtle: the critical temperature first decreases then increases as the coupling tends towards the Chern-Simons value in a backreaction dependent fashion. We compute the conductivity of the system, finding the energy gap, and show that the effect of both backreaction and higher curvature is to increase the gap ratio $\omega_g/T_c$, thus there is no universal relation for these superconductors.