Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction

TL;DR

This paper analytically explores higher-dimensional holographic superconductors within Born-Infeld electrodynamics, considering backreaction effects, and finds that increased backreaction and Born-Infeld parameters hinder condensation formation, aligning with numerical results.

Contribution

It provides an analytical study of higher-dimensional holographic superconductors with Born-Infeld electrodynamics including backreaction, deriving critical temperature relations and condensation behavior.

Findings

Backreaction and Born-Infeld parameters make condensation harder.

Analytical results agree with numerical findings.

Critical exponent is 1/2 in all dimensions.

Abstract

In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics taking into account the backreaction of the spacetime using the Sturm-Liouville eigenvalue method. In the background of pure Einstein and Gauss-Bonnet gravity, based on a perturbative approach, we obtain the relation between the critical temperature and the charge density. Higher value of the backreaction and Born-Infeld parameters result in a harder condensation to form in both cases. The analytical results are found to agree with the existing numerical results. We also derive an expression for the condensation operator in $d$-dimensions which yields the critical exponent to be $1/2$.