Mirage phenomena in superconducting quantum corrals

TL;DR

This paper explores how quantum mirage phenomena manifest in superconducting quantum corrals, revealing the influence of pairing symmetry and impurities on local electronic states.

Contribution

It provides a detailed analysis of mirage effects in superconducting corrals, incorporating impurity effects and pairing anisotropy, which is novel in the context of superconducting surface states.

Findings

Mirage phenomena depend on the pairing symmetry of the superconductor.

Impurities significantly alter the local density of states and mirage patterns.

Anti-mirage effects are observed under certain conditions.

Abstract

We investigate the local density of states and the order parameter structure inside an elliptic quantum corral on surfaces of isotropic and anisotropic superconductors. The Bogoliubov-de Gennes equations are solved in the presence of non-magnetic and magnetic impurities. We observe and discuss a variety of mirage and anti-mirage phenomena, which specifically reflect the nature of the superconducting pairing state.