Gauss-Bonnet holographic superconductors with magnetic field

TL;DR

This paper investigates Gauss-Bonnet holographic superconductors under magnetic fields, analyzing the effects of backreaction and Gauss-Bonnet coupling on critical temperature and magnetic field, with analytical and numerical consistency.

Contribution

It provides the first analytical derivation of the critical magnetic field with backreaction effects in Gauss-Bonnet holographic superconductors.

Findings

Gauss-Bonnet coupling weakens the condensation.

Backreaction corrections increase the critical magnetic field.

Analytical results agree with numerical calculations.

Abstract

We study the Gauss-Bonnet (GB) holographic superconductors in the presence of an external magnetic field. We describe the phenomena away from the probe limit. We derive the critical magnetic field of the GB holographic superconductors with backreaction. Our analytical approach matches the numerical calculations. We calculate the backreaction corrections up to first order of $O(\kappa^2=8\pi G)$ to the critical temperature $T_C$ and the critical magnetic field $B_C$ for a GB superconductor. We show that the GB coupling $\alpha$ makes the condensation weaker but the backreaction corrections $O(\kappa^2)$ make the critical magnetic field stronger.