A Holographic model for Non-Relativistic Superconductor

TL;DR

This paper develops a holographic model for non-relativistic superconductors using gauge/gravity duality, demonstrating phase transition behavior and calculating conductivity properties.

Contribution

It introduces a simple gravitational theory to describe non-relativistic superconductivity and analyzes phase transition and conductivity in this framework.

Findings

Critical temperature for superconductivity identified

Second order phase transition observed

Frequency-dependent conductivity calculated

Abstract

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational theory can provide a non-relativistic holographical dual description of a superconductor. There is also a critical temperature like the relativistic case, below which a charged condensation field appears by a second order phase transition and the (DC) conductivity becomes infinite. We also calculated the frequency dependent conductivity.