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

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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 ehancement 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.

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