Analytic study of properties of holographic superconductors away from the probe limit

TL;DR

This paper analytically examines how backreaction influences the properties of holographic superconductors in Einstein and Gauss-Bonnet gravity, revealing that increased backreaction makes condensation formation more difficult, aligning with numerical findings.

Contribution

It provides an analytical study of holographic superconductor properties considering backreaction effects in Einstein and Gauss-Bonnet gravity, extending previous numerical work.

Findings

Higher backreaction parameter hinders condensation formation

Analytical results agree with numerical data

Backreaction significantly affects superconductor properties

Abstract

In this paper, based on the Sturm-Liouville eigenvalue approach, we analytically investigate the properties of holographic superconductors in the background of pure Einstein and Gauss-Bonnet gravity taking into account the backreaction of the spacetime. Higher value of the backreaction parameter results in a harder condensation to form in both cases. The analytical results obtained are found to be in good agreement with the existing numerical results.