Anyonic, cosmic, and chaotic: three faces of Majorana fermions

Abstract

In my thesis I study Majorana fermions from three different perspectives. The first one corresponds to non-interacting Majorana fermions that, however, pose non-trivial topological properties. The second one corresponds to strongly interacting Majoranas and the third to relic neutrinos. No one knows for sure if they have Dirac or Majorana nature.

MajoranaFermionsNeutrinoSachdev-Ye-Kitaev modelAnyons