English

Holographic superconductor in the exact hairy black hole

High Energy Physics - Theory 2011-09-28 v2 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.1007.0816,
  title  = {Holographic superconductor in the exact hairy black hole},
  author = {Yun Soo Myung and Chanyong Park},
  journal= {arXiv preprint arXiv:1007.0816},
  year   = {2011}
}

Comments

17 pages, 3 figures, version to appear in PLB