Fluctuation conductivity in layered d-wave superconductors near critical disorder

TL;DR

This paper analyzes the fluctuation conductivity near a disorder-induced quantum phase transition in layered d-wave superconductors, focusing on both in-plane and c-axis conductivities in different dimensional regimes.

Contribution

It provides a theoretical analysis of fluctuation conductivity in layered d-wave superconductors near a quantum critical point, considering both quasi-two-dimensional and quasi-three-dimensional cases.

Findings

Conductivity behavior depends on layer separation and dimensionality.

Critical exponents allow perturbative analysis of the transition.

Results relate conductivity to temperature and disorder near criticality.

Abstract

We consider the fluctuation conductivity in the critical region of a disorder induced quantum phase transition in layered d-wave superconductors. We specifically address the fluctuation contribution to the system's conductivity in the limit of large (quasi-two-dimensional system) and small (quasi-three-dimensional system) separation between adjacent layers of the system. Both in-plane and c-axis conductivities were discussed near the point of insulator-superconductor phase transition. The value of the dynamical critical exponent, $z=2$, permits a perturbative treatment of this quantum phase transition under the renormalization group approach. We discuss our results for the system conductivities in the critical region as function of temperature and disorder.