Holographic Superconductor for a Lifshitz fixed point

TL;DR

This paper explores a holographic model of a strongly coupled system at a Lifshitz fixed point, demonstrating phase transition and conductivity behavior at finite temperature using gravity duals.

Contribution

It constructs an Abelian Higgs model in a Lifshitz background and analyzes condensation and conductivity, revealing phase transition phenomena.

Findings

Condensation occurs below a critical temperature.

DC conductivity diverges at the phase transition.

Validates holographic approach for Lifshitz fixed points.

Abstract

We consider the gravity dual of strongly coupled system at a Lifshitz-fixed point and finite temperature, which was constructed in a recent work arXiv:0909.0263. We construct an Abelian Higgs model in that background and calculate condensation and conductivity using holographic techniques. We find that condensation happens and DC conductivity blows up when temperature turns below a critical value.