Analytic investigation of rotating holographic superconductors

Abstract

In this paper we have investigated, in the probe limit, $s$-wave holographic superconductors in rotating $Ad{S}_{3+1}$ spacetime using the matching method as well as the St{ü}rm-Liouville eigenvalue approach. We have calculated the critical temperature using the matching technique in such a setting and our results are in agreement with previously reported results obtained using the St{ü}rm-Liouville approach. We have then obtained the condensation operators using both analytical methods. The results obtained by both these techniques share the same features as found numerically. We observe that the rotation parameter of the black hole affects the critical temperature and the condensation operator in a non-trivial way.

20 pages Latex

References in corpus (5)

• Building an AdS/CFT superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
• A Rotating Holographic Superconductor
• Charged rotating dilaton black strings in AdS spaces

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• Effects of background rotation and anisotropy in the holographic description of type-II superconductors
• Born-Infeld corrections to holographic transport coefficients with spatially modulated chemical potential
• Novel five-dimensional rotating Lifshitz black holes with electric and axionic charges