Critical magnetic field in holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics

TL;DR

This paper explores how Gauss-Bonnet gravity and Born-Infeld electrodynamics influence the critical temperature and magnetic properties of holographic superconductors, revealing that both parameters lower the critical temperature and that the magnetic field behavior aligns with previous findings.

Contribution

It provides a detailed analysis of the effects of Gauss-Bonnet coupling and Born-Infeld parameter on holographic superconductor properties using the matching method.

Findings

Both Gauss-Bonnet coupling and Born-Infeld parameter decrease the critical temperature.

The ratio of critical magnetic field to the square of critical temperature increases as temperature drops below T_c.

Critical magnetic field is affected by Gauss-Bonnet coupling but not by Born-Infeld parameter.

Abstract

In the paper using matching method in the probe limit, we investigate some properties of holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics . We discuss the effects of the Gauss-Bonnet coupling $\a$ and Born-Infeld parameter $b$ on the critical temperature and condensate. We find that both of $\a$ and $b$ make the critical temperature decrease, which implies the condensate harder to form. Moreover we study the magnetic effect on holographic superconductor and obtain that the ratio between the critical magnetic field and the square of the critical temperature increases from zero as the temperature is lowered below the critical value $T_c$, which agrees well with the former results. We also find the critical magnetic field is indeed affected by Gauss-Bonnet coupling, but not by Born-Infeld parameter.