Effects of Backreaction on Power-Maxwell Holographic Superconductors in Gauss-Bonnet Gravity

TL;DR

This paper studies how higher curvature corrections, nonlinear electrodynamics, and backreaction influence the properties and critical temperature of s-wave holographic superconductors in five-dimensional Einstein-Gauss-Bonnet gravity, using analytical and numerical methods.

Contribution

It provides a comprehensive analysis of the combined effects of Power-Maxwell electrodynamics, backreaction, and Gauss-Bonnet gravity on holographic superconductor phase transitions, including critical temperature behavior.

Findings

Backreaction decreases the critical temperature.

Power-Maxwell and Gauss-Bonnet terms can increase the critical temperature.

Critical exponent remains at mean-field value 1/2.

Abstract

We analytically and numerically investigate the properties of s-wave holographic superconductors by considering the effects of scalar and gauge fields on the background geometry in five dimensional Einstein-Gauss-Bonnet gravity. We assume the gauge field to be in the form of the Power-Maxwell nonlinear electrodynamics. We employ the Sturm-Liouville eigenvalue problem for analytical calculation of the critical temperature and the shooting method for the numerical investigation. Our numerical and analytical results indicate that higher curvature corrections affect condensation of the holographic superconductors with backreaction. We observe that the backreaction can decrease the critical temperature of the holographic superconductors, while the Power-Maxwell electrodynamics and Gauss-Bonnet coefficient term may increase the critical temperature of the holographic superconductors. We find that the critical exponent has the mean-field value $\beta=1/2$, regardless of the values of Gauss-Bonnet coefficient, backreaction and Power-Maxwell parameters.