Visualizing Majorana bound states in one and two dimensions using the generalized Majorana polarization

Abstract : We study the solutions of generic Hamiltonians exhibiting particle-hole mixing. We show that there exists a universal quantity that can describe locally the Majorana nature of a given state. This pseudo-spin like two-component quantity is in fact a generalization of the Majorana polarization (MP) measure introduced in Sticlet et al. 2012, which was applicable only for some models with specific spin and symmetry properties. We apply this to an open two-dimensional Kitaev system, as well as to a one-dimensional topological wire. We show that the MP characterization is a necessary and sufficient criterion to test whether a state is a Majorana or not, and use it to numerically determine the topological phase diagram.
Type de document :
Article dans une revue
Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 92 (115115), 〈10.1103/PhysRevB.92.115115〉
Liste complète des métadonnées

https://hal-cea.archives-ouvertes.fr/cea-01497757
Contributeur : Emmanuelle De Laborderie <>
Soumis le : mercredi 29 mars 2017 - 11:14:44
Dernière modification le : jeudi 15 mars 2018 - 15:06:36

Lien texte intégral

Identifiants

Citation

N. Sedlmayr, C. Bena. Visualizing Majorana bound states in one and two dimensions using the generalized Majorana polarization. Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 92 (115115), 〈10.1103/PhysRevB.92.115115〉. 〈cea-01497757〉

Partager

Métriques

Consultations de la notice

39