Analytical study on holographic superconductors with backreactions

TL;DR

This paper uses an analytical variational approach to study holographic superconductors with backreactions, demonstrating consistency with numerical methods and enhancing understanding of their properties in fully backreacted spacetimes.

Contribution

It introduces an effective analytical method for analyzing holographic superconductors with backreactions, complementing numerical results and improving accuracy.

Findings

Analytical method remains powerful with backreactions.

Reducing step size improves result consistency.

Analytic results support numerical computations.

Abstract

We employ the variational method for the Sturm-Liouville eigenvalue problem to analytically investigate the properties of the holographic superconductors. We find that the analytic method is still powerful when the backreaction is turned on. Reducing step size in the iterative procedure, we observe that the consistency of results between the analytic and numerical computations can be further improved. The obtained analytic result can be used to back up the numerical computations in the holographic superconductor in the fully backreacted spacetime.