Exact Gravity Dual of a Gapless Superconductor
George Koutsoumbas, Eleftherios Papantonopoulos, George Siopsis
TL;DR
This paper presents an exact gravity dual model of a gapless superconductor using a charged scalar field and a hyperbolic black hole in AdS space, demonstrating a phase transition and conductivity properties.
Contribution
It introduces a novel exact gravity dual model of a gapless superconductor with a charged scalar field and hyperbolic black hole, capturing phase transition and conductivity.
Findings
Black hole acquires hair below critical temperature
Phase transition corresponds to condensate formation
Conductivity determined by electromagnetic perturbations
Abstract
A model of an exact gravity dual of a gapless superconductor is presented in which the condensate is provided by a charged scalar field coupled to a bulk black hole of hyperbolic horizon in asymptotically AdS spacetime. Below a critical temperature, the black hole acquires its hair through a phase transition while an electromagnetic perturbation of the background Maxwell field determines the conductivity of the boundary theory.
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