Holographic superconductors in the AdS black hole with a magnetic charge

TL;DR

This paper analytically investigates a 2+1 dimensional magnetically charged holographic superconductor in AdS4, deriving critical chemical potential and supporting numerical results within the probe limit.

Contribution

It provides an analytical derivation of the critical chemical potential for a magnetically charged holographic superconductor, complementing numerical studies.

Findings

Analytical expression for critical chemical potential μ_c.

Validation of numerical results using Sturm-Liouville approach.

Insights into holographic superconductor properties in magnetic charge context.

Abstract

In this work we study the analytical properties of a 2+1 dimensional magnetically charged holographic superconductor in $AdS_4$. We obtain the critical chemical potential $\mu_c$ analytically, using the Sturm-Liouville variational approach. Also, the obtained analytic result can be used to back up the numerical computations in the holographic superconductor in the probe limit.