Regular Phantom Black Hole and Holography: very high temperature superconductors

Abstract

Holographic superconductors containing a non-minimal derivative coupling for scalar field in a regular phantom plane symmetric black hole have been considered. We show that the parameter of the regular black hole $b$ as well as the non-minimal derivative coupling parameter $\eta$ affect the formation of the condensate as well as the conductivity in the superconductor. Moreover, $b$ has a critical value in which the critical temperature $T_c$ increases without a bound. We argue that an unlimited critical temperature is an evidence that high $T_c$ superconductor must be related to the absence of a singularity in the bulk in the AdS/CFT context.

15 pages

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Cited by in corpus (4)

• Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
• A Maxwell-vector p-wave holographic superconductor in a particular background AdS black hole metric
• Spontaneous Momentum Dissipation and Coexistence of Phases in Holographic Horndeski Theory
• Kasner-type singularities and solitons with Lifshitz asymptotics