Holographic superconductors in the AdS black hole with a magnetic charge

Abstract

In this work we study the analytical properties of a 2+1 dimensional magnetically charged holographic superconductor in AdS4. We obtain the critical chemical potential μc 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.

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