English

Masses and Majorana fermions in graphene

Mesoscale and Nanoscale Physics 2012-06-06 v1

Abstract

We review the classification of all the 36 possible gap-opening instabilities in graphene, i.e., the 36 relativistic masses of the two-dimensional Dirac Hamiltonian when the spin, valley, and superconducting channels are included. We then show that in graphene it is possible to realize an odd number of Majorana fermions attached to vortices in superconducting order parameters if a proper hierarchy of mass scales is in place.

Keywords

Cite

@article{arxiv.1206.0807,
  title  = {Masses and Majorana fermions in graphene},
  author = {Claudio Chamon and Chang-Yu Hou and Christopher Mudry and Shinsei Ryu and Luiz Santos},
  journal= {arXiv preprint arXiv:1206.0807},
  year   = {2012}
}

Comments

Contribution to the Proceedings of the Nobel symposium on graphene and quantum matter