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.

arXiv comment20 pages Latex

References in corpus (16)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Building an AdS/CFT superconductor
• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic Superconductors with Higher Curvature Corrections
• Analytic calculation of properties of holographic superconductors
• "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
• A Rotating Holographic Superconductor
• Analytic study of properties of holographic superconductors in Born-Infeld electrodynamics
• Analytic study of Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics
• Analytic study of properties of holographic p-wave superconductors
• Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction
• Analytic study of properties of holographic superconductors away from the probe limit
• Charged rotating dilaton black strings in AdS spaces

Cited by in corpus (8)

• $p$-wave holographic superconductors with massive vector condensate in Born-Infeld electrodynamics
• Vortices in a rotating holographic superfluid with Lifshitz scaling
• Vortex structure deformation of rotating Lifshitz Holographic Superconductors
• Novel vortices and the role of complex chemical potential in a rotating holographic superfluid
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• 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