Mirages, anti-mirages, and further surprises in quantum corrals with non-magnetic impurities

TL;DR

This paper explores how non-magnetic impurities in quantum corrals can produce mirage and anti-mirage effects in the local density of states, revealing complex quantum interference phenomena.

Contribution

It provides a detailed analysis of quantum mirage effects caused by non-magnetic impurities using T-matrix calculations in elliptical quantum corrals.

Findings

Impurity position significantly affects LDOS at mirror points.

Impurities can enhance, reduce, or suppress LDOS maxima.

Quantum mirage and anti-mirage phenomena are demonstrated.

Abstract

We investigate the local density of states (LDOS) for non-interacting electrons in a hard wall ellipse in the presence of a single non-magnetic scattering center. Using a T-matrix analysis we calculate the local Green's function and observe a variety of quantum mirage effects for different impurity positions. Locating the impurity near positions with LDOS maxima for the impurity free corral can either lead to a reduction or an enhancement of the LDOS at the mirror image point, i.e. a mirage or anti-mirage effect, or even suppress LDOS maxima in the entire area of the corral.