Building an AdS/CFT superconductor

TL;DR

This paper demonstrates how a straightforward gravitational model can holographically describe a superconductor, capturing key features like phase transition, infinite conductivity, and a frequency gap related to quasiparticle pairs.

Contribution

It introduces a simple gravitational framework that models superconductor phenomena holographically, including phase transition and conductivity behavior.

Findings

Critical temperature for condensate formation identified

Infinite DC conductivity below critical temperature

Frequency gap in conductivity related to quasiparticle pairs

Abstract

We show that a simple gravitational theory can provide a holographically dual description of a superconductor. There is a critical temperature, below which a charged condensate forms via a second order phase transition and the (DC) conductivity becomes infinite. The frequency dependent conductivity develops a gap determined by the condensate. We find evidence that the condensate consists of pairs of quasiparticles.