Holographic superconductors in quintessence AdS black hole spacetime

We present a solution of Einstein equations describing a d-dimensional planar quintessence anti-de Sitter (AdS) black hole which depends on the state parameter wq of quintessence. We investigate holographic superconductors in this background and probe effects of the state parameter wq on the critical temperature Tc, the condensation formation and conductivity. The larger absolute value of wq leads to the lower critical temperature Tc and the higher ratio between the gap frequency in conductivity to the critical temperature for the condensates. Moreover, we also find that for the scalar condensate there exists an additional constraint condition originating from the quintessence (d − 1)wq + λ± > 0 for the operators O±, respectively. Our results show that the scalar condensation is harder to form and the occurrence of the holographic dual superconductor needs the stronger coupling in the quintessence AdS black hole spacetime. (paper)