Holographic superconductors with hyperscaling violation

TL;DR

This paper explores holographic superconductors in geometries with hyperscaling violation, showing that the critical temperature for superconductivity increases with hyperscaling violation, and the scalar field behavior is decoupled from UV dimensions.

Contribution

It introduces a study of holographic superconductors with hyperscaling violation, analyzing scalar condensation and conductivity, and revealing the impact of hyperscaling violation on transition temperature.

Findings

Scalar condenses below a critical temperature.

A gap opens in the real part of conductivity.

Critical temperature increases with hyperscaling violation.

Abstract

We investigate holographic superconductors in asympototically geometries with hyperscaling violation. The mass of the scalar field decouples from the UV dimension of the dual scalar operator and can be chosen as negative as we want, without disturbing the Breitenlohner-Freedman bound. We first numerically find that the scalar condenses below a critical temperature and a gap opens in the real part of the conductivity, indicating the onset of superconductivity. We further analytically explore the effects of the hyperscaling violation on the superconducting transition temperature. We find that the critical temperature increases with the increasing of hyperscaling violation.