Holographic model of hybrid and coexisting s-wave and p-wave Josephson junction

TL;DR

This paper develops a holographic model for hybrid and coexisting s-wave and p-wave Josephson junctions, analyzing their current-phase relations and how maximum current varies with temperature and junction width.

Contribution

It introduces a new holographic framework for modeling hybrid s-wave and p-wave Josephson junctions with detailed analysis of their current and condensation behaviors.

Findings

DC current is proportional to the sine of phase difference.

Maximum current and condensation decay exponentially with junction width.

Maximum current's temperature dependence varies between junction types.

Abstract

In this paper the holographic model for hybrid and coexisting s-wave and p-wave Josephson junction is constructed by a triplet charged scalar field coupled with a non-Abelian $SU(2)$ gauge fields in (3+1)-dimensional AdS spacetime. Depending on the value of chemical potential $\mu$, one can show that there are four types of junctions (s+p-N-s+p, s+p-N-s, s+p-N-p and s-N-p). We show that DC current of all the hybrid and coexisting s-wave and p-wave junctions is proportional to the sine of the phase difference across the junction. In addition, the maximum current and the total condensation decays with the width of junction exponentially, respectively. For s+p-N-s and s-N-p junction, the maximum current decreases with growing temperature. Moreover, we find that the maximum current increases with growing temperature for s+p-N-s+p and s+p-N-p junction, which is in the different manner as the behaviour of s+p-N-s and s-N-p junction.