Dissipative phase transition in two-dimensional d-wave Josephson junctions

TL;DR

This paper investigates the quantum dynamics of two-dimensional d-wave Josephson junctions, revealing a dissipative phase transition through anisotropic XY-model analysis, and compares it with conventional s-wave junctions.

Contribution

It introduces a detailed analysis of dissipative phase transitions in d-wave Josephson junctions using anisotropic XY-model, highlighting differences from s-wave junctions.

Findings

Evidence of a dissipative phase transition in d-wave junctions

Distinct critical behavior compared to s-wave junctions

Application of combined weak and strong coupling analysis

Abstract

Quantum dynamics of in-plane Josephson junctions between two d-wave superconducting films is described by the anisotropic XY-model where both, quasiparticle and Cooper pair tunneling terms, appear to be equally non-local. Applying a combination of the weak and strong coupling analyses to this model, we find a compelling evidence of a dissipative phase transition. The corresponding critical behavior is studied and contrasted with that found previously in the conventional (s-wave) Josephson junctions.