Majorana Fermions in Honeycomb Lattices

Abstract : We study the formation of Majorana fermions in honeycomb-lattice structures in the presence of a Zeeman field, Rashba spin-orbit coupling, and in the proximity of an s-wave superconductor. We show that an exact mapping exists between an anisotropic hexagonal-lattice nanoribbon at k = 0 and a one-dimensional chain, for which the existence of Majorana fermions has been extensively discussed. Consequently we can predict the conditions for the emergence of Majorana fermions at the edges of such ribbon, and relate the existence of Majoranas to a band inversion in the bulk band structure. Moreover we ?nd that similar situations arise in isotropic lattices and we give some examples which show the formation of Majorana fermions in these structures
Document type :
Journal articles
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-01334691
Contributor : Emmanuelle de Laborderie <>
Submitted on : Tuesday, June 21, 2016 - 11:06:43 AM
Last modification on : Thursday, February 7, 2019 - 2:54:43 PM
Long-term archiving on : Thursday, September 22, 2016 - 11:50:59 AM

File

1309.1143v4.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

C. Dutreix, M. Guigou, D. Chevallier, C. Bena. Majorana Fermions in Honeycomb Lattices. European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2014, 87, pp.296. ⟨10.1140/epjb/e2014-50243-9⟩. ⟨cea-01334691⟩

Share

Metrics

Record views

81

Files downloads

188