Holographic superconductor in the exact hairy black hole

Details Holographic superconductor in the exact hairy black hole Holographic superconductor in the exact hairy black hole

2010-07-06

arxiv.org/abs/1007.0816v2

Phys.Lett.B704:242-248,2011

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 3 figures, version to appear in PLB

Scientific paper

10.1016/j.physletb.2011.09.009

We study the charged black hole of hyperbolic horizon with scalar hair (charged Martinez-Troncoso-Zanelli: CMTZ black hole) as a model of analytic hairy black hole for holographic superconductor. For this purpose, we investigate the second order phase transition between CMTZ and hyperbolic Reissner-Nordstr\"om-AdS (HRNAdS) black holes. However, this transition unlikely occur. As an analytic treatment for holographic superconductor, we develop superconductor in the bulk and superfluidity on the boundary using the CMTZ black hole below the critical temperature. The presence of charge destroys the condensates around the zero temperature, which is in accord with the thermodynamic analysis of the CMTZ black hole.

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