Holographic Josephson Junction from Massive Gravity

TL;DR

This paper investigates how graviton mass in a holographic superconductor model affects the properties of Josephson junctions, revealing that increased graviton mass reduces the tunneling current and coherence length, indicating stronger momentum dissipation.

Contribution

It introduces a holographic model of Josephson junctions incorporating massive gravity, showing how graviton mass influences phase transition and junction characteristics.

Findings

Graviton mass makes the superconductor-normal metal transition harder.

Maximal tunneling current decreases with graviton mass.

Coherence length of the junction decreases as graviton mass increases.

Abstract

We study the holographic superconductor-normal metal-superconductor (SNS) Josephon junction in the massive gravity. In the homogeneous case of the chemical potential, we find that the graviton mass will make the normal metal-superconductor phase transition harder to take place. In the holographic model of Josephson junction, it is found that the maximal tunneling current will decrease according to the graviton mass. Besides, the coherence length of the junction decreases as well with respect to the graviton mass. If one interprets the graviton mass as the effect of momentum dissipation in the boundary field theory, it indicates that the stronger the momentum dissipation is, the smaller the coherence length is.