Analytic study on backreacting holographic superconductors with dark matter sector

TL;DR

This paper analytically investigates how dark matter interactions influence holographic superconductors, focusing on backreaction effects and employing Sturm-Liouville variational methods to understand their properties.

Contribution

It introduces an analytical approach to study backreacting holographic superconductors with a dark matter sector using Sturm-Liouville eigenvalue techniques.

Findings

Dark matter coupling affects superconducting phase transition.

Backreaction modifies the gravitational background and superconductor properties.

Analytical expressions for critical temperature and condensate behavior obtained.

Abstract

The variational method for Sturm-Liouville eigenvalue problem was employed to study analytically properties of the holographic superconductor with dark matter sector, in which a coupling between Maxwell field and another U(1)-gauge field was considered. The backreaction of the dark matter sector on gravitational background in question was also examined.