  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.
