Miraging a Majorana

Abstract

The image of a Majorana mode located on the focus of an elliptical corral of free electrons is studied. The Majorana mode may be taken at the edge of a topological wire superimposed on the two-dimensional electron gas. At low energies the states of the wire are ignored except for the Majorana mode. Usual tunneling to a fermionic mode is compared. In the favorable cases, tunneling to a Majorana mode leads to an enhanced mirage effect and a spectral weight mainly confined around the foci, in comparison to the tunneling to a fermionic mode. The Majorana character of the image is shown computing the self-conjugacy.