Holographic s-wave and p-wave Josephson junction with backreaction

TL;DR

This paper explores holographic s-wave and p-wave Josephson junctions beyond the probe limit, revealing how backreaction influences critical temperature, tunneling current, and condensation, with exponential decay related to junction width.

Contribution

It introduces a model incorporating backreaction effects in holographic Josephson junctions, analyzing their impact on physical properties and phase relationships.

Findings

Critical temperature decreases with increased backreaction.

Tunneling current and condensation diminish as backreaction grows.

Condensation decreases exponentially with junction width.

Abstract

In this paper, we study the holographic models of s-wave and p-wave Josephoson junction away from probe limit in (3+1)-dimensional spacetime, respectively. With the backreaction of the matter, we obtained the anisotropic black hole solution with the condensation of matter fields. We observe that the critical temperature of Josephoson junction decreases with increasing backreaction. In addition to this, the tunneling current and condenstion of Josephoson junction become smaller as backreaction grows larger, but the relationship between current and phase difference still holds for sine function. Moreover, condenstion of Josephoson junction deceases with increasing width of junction exponentially.