Holographic Superconductors in 3+1 dimensions away from the probe limit

TL;DR

This paper investigates holographic superconductors in 3+1 dimensions beyond the probe limit, analyzing the effects of back-reaction and Gauss-Bonnet gravity on critical temperature and condensation behavior.

Contribution

It extends previous holographic superconductor models by including back-reaction effects and Gauss-Bonnet gravity, revealing how these factors influence critical temperature.

Findings

Critical temperature decreases with increasing Gauss-Bonnet coupling.

Back-reaction amplifies the decrease in critical temperature.

Critical temperature remains positive for all Gauss-Bonnet couplings.

Abstract

We study holographic superconductors in 3+1 dimensions away from the probe limit, i.e. taking back-reaction of the space-time into account. We consider the case of pure Einstein- and Gauss-Bonnet gravity, respectively. Similar to the probe limit we observe that the critical temperature at which condensation sets in decreases with increasing Gauss-Bonnet coupling. The decrease is however stronger when taking back-reaction of the space-time into account. We observe that the critical temperature becomes very small, but stays positive for all values of the Gauss-Bonnet coupling no matter how strong the back-reaction of the space-time is.