Holographic superconductors from the massive gravity

TL;DR

This paper constructs a holographic superconductor model within massive gravity, revealing conductivity behaviors consistent with experimental data and previous theoretical studies, highlighting the impact of graviton mass on superconducting properties.

Contribution

It introduces a holographic superconductor model based on massive gravity, demonstrating how graviton mass influences conductivity features in both normal and superconducting states.

Findings

Normal state conductivity shows a Drude peak approaching a delta function as massless limit

Superconducting state exhibits infinite DC conductivity and low-frequency Drude behavior

Results align with earlier studies and experimental observations on cuprates

Abstract

A holographic superconductor is constructed in the background of a massive gravity theory. In the normal state without condensation, the conductivity exhibits a Drude peak that approaches a delta function in the massless gravity limit as studied by David Vegh. In the superconducting state, besides the infinite DC conductivity, the AC conductivity has Drude behavior at low frequency followed by a power law-fall. These results are in agreement with that found earlier by Horowitz and Santos, who studied a holographic superconductor with an implicit periodic potential beyond the probe limit. The results also agree with measurements on some cuprates.