Disordered d-wave superconductors with interactions

TL;DR

This paper investigates the localization and transport properties of disordered d-wave superconductors using advanced theoretical methods, analyzing various symmetry classes and including quasiparticle interactions.

Contribution

It provides a comprehensive classification of physical behaviors in disordered d-wave superconductors considering multiple symmetries and interactions, extending existing theoretical frameworks.

Findings

Classification of physical quantities based on symmetry presence or absence

Extension of the effective functional method to include quasiparticle interactions

Analysis of both superconducting and normal phases with different symmetries

Abstract

We study the localization properties of disordered d-wave superconductors by means of the fermionic replica trick method. We derive the effective non-linear sigma-model describing the diffusive modes related to spin transport which we analyze by the Wilson-Polyakov renormalization group. A lot of different symmetry classes are considered within the same framework. According to the presence or the absence of certain symmetries, we provide a detailed classification for the behavior of some physical quantities, like the density of states, the spin and the quasiparticle charge conductivities. Following the original Finkel'stein approach, we finally extend the effective functional method to include residual quasiparticle interactions, at all orders in the scattering amplitudes. We consider both the superconducting and the normal phase, with and without chiral symmetry, which occurs in the so called two-sublattice models.