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... Show moreThe 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. Show less
This dissertation is about transport and electronic properties of two types of electronic states occuring at the edges, which are protected by symmetry between positive and negative energies. One... Show moreThis dissertation is about transport and electronic properties of two types of electronic states occuring at the edges, which are protected by symmetry between positive and negative energies. One type of these states is shown to occur universally in graphene. It is also described how another type of edge states, Majorana fermions, can be used for topological quantum computation. Show less