Holographic SIS Josephson Junction

TL;DR

This paper develops a holographic model for SIS Josephson junctions at zero temperature, reproducing key physical relations and analyzing how junction properties depend on various parameters.

Contribution

It introduces a novel holographic framework for modeling SIS Josephson junctions, capturing the sine relation and parameter dependencies.

Findings

Reproduces the sine relation between current and phase difference.

Shows maximal current depends on condensate dimension and junction width.

Obtains results consistent with theoretical expectations.

Abstract

We construct a holographic model for the superconductor-insulator-superconductor (SIS) Josephson junction at zero temperature by considering a complex scalar field coupled with a Maxwell field in the four-dimensional anti-de Sitter soliton background. From the gravity side we reproduce the sine relation between the Josephson current and the phase difference across the junction. We also study the dependence of the maximal current on the dimension of the condensate operator and on the width of the junction, and obtain expected results.