Quantum interference between multiple impurities in anisotropic superconductors

TL;DR

This paper investigates how multiple impurities affect quantum interference patterns in d-wave superconductors, considering various impurity configurations and the impact of additional superconducting order parameters.

Contribution

It introduces a formalism for analyzing quantum interference among multiple impurities in anisotropic superconductors, including effects of subdominant order parameters.

Findings

Interference patterns depend on impurity spatial arrangements.

Subdominant order parameters modify the interference effects.

The formalism applies to both magnetic and nonmagnetic impurities.

Abstract

We study the quantum interference between impurities in d-wave superconductors within a potential scattering formalism that easily applies to multiple impurities. The evolution of the low-energy local density of states for both magnetic and nonmagnetic short-ranged scatterers are studied as a function of the spatial configuration of the impurities. Further we discuss the influence of subdominant bulk superconducting order parameters on the interference pattern from multiple impurities.