A Rotating Holographic Superconductor

TL;DR

This paper explores how rotation affects the phase transition and superconducting properties of a 2+1 dimensional holographic superconductor modeled by rotating AdS black holes, revealing critical rotation effects.

Contribution

It introduces the study of symmetry breaking in rotating 3+1D AdS black holes and analyzes how rotation influences the superconducting transition and magnetic field behavior.

Findings

Transition temperature depends on rotation.

Critical rotation destroys superconductivity.

Superconductor produces London field in planar limit.

Abstract

In this paper we initiate the study of SSB in 3+1 dimensional rotating, charged, asymptotically AdS black holes. The theory living on their boundary, R x S^2, has the interpretation of a 2+1 dimensional rotating holographic superconductor. We study the appearance of a marginal mode of the condensate as the temperature is decreased. We find that the transition temperature depends on the rotation. At temperatures just below T_c, the transition temperature at zero rotation, there exists a critical value of the rotation, which destroys the superconducting order. This behaviour is analogous to the emergence of a critical applied magnetic field and we show that the superconductor in fact produces the expected London field in the planar limit.