On the random-matrix theory of Majorana fermions in topological superconductors

Abstract

The thesis mainly contributes to the characterization of Majorana fermions as they appear in the Condensed Matter context. Large attention is devoted to discuss signatures in the density of states and transport observables of unpaired Majorana zero modes confined in chaotic and superconducting billiards. The final chapter concerns magnetic adatoms, promising small logic units future computer technologies. In particular, an analysis on the relation between the symmetries of isolated nanomagnets and their magnetic stability is performed.