Effects of disorder on the transmission of nodal fermions through a d-wave superconductor

TL;DR

This paper investigates how different types of disorder affect the electrical conductance in a normal-metal-d-wave superconductor junction, revealing contrasting behaviors for short-range and long-range scattering.

Contribution

It introduces a dual behavior of conductance dependence on disorder range, contrasting with known microwave conductivity effects in d-wave superconductors.

Findings

Short-range scattering suppresses conductance.

Long-range scattering does not affect conductance.

Conductance behavior is dual to microwave conductivity effects.

Abstract

The bulk microwave conductivity of a dirty d-wave superconductor is known to depend sensitively on the range of the disorder potential: long-range scattering enhances the conductivity, while short- range scattering has no effect. Here we show that the three-terminal electrical conductance of a normal-metal-d-wave superconductor-normal-metal junction has a dual behavior: short-range scattering suppresses the conductance, while long-range scattering has no effect.