Holographic Superconductivity with Gauss-Bonnet gravity

TL;DR

This paper reviews recent advances in holographic superconductivity within Einstein-Gauss-Bonnet gravity, analyzing how critical temperature and conductivity are influenced by gravitational effects and the Gauss-Bonnet parameter, revealing no universal energy gap ratio.

Contribution

It provides a comprehensive review of how gravitational backreaction and Gauss-Bonnet terms affect holographic superconductor properties, combining analytic and numerical methods.

Findings

Critical temperature depends on backreaction and Gauss-Bonnet parameter

Conductivity calculations show the energy gap varies

No universal gap ratio $6g/T_c$ found

Abstract

I review recent work on holographic superconductivity with Einstein-Gauss-Bonnet gravity, and show how the critical temperature of the superconductor depends on both gravitational backreaction and the Gauss-Bonnet parameter, using both analytic and numerical arguments. I also review computations of the conductivity, finding the energy gap, and demonstrating that there is no universal gap ratio, $\omega_g/T_c$, for these superconductors.