Unpaired Majorana fermions in a layered topological superconductor

Babak Seradjeh, Eytan Grosfeld

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We study the conditions for the existence of unpaired Majorana modes at the ends of vortex lines or the side edges of a layered topological superconductor. We show that the problem is mapped to that of a general Majorana chain and extend Kitaev's condition for the existence of its nontrivial phase by providing an additional condition when a supercurrent flows in the chain. Unpaired Majorana bound states may exist in a vortex line that threads the layers if the spin-orbit coupling has certain in-layer components but, interestingly, only if a nonzero supercurrent is maintained along the vortex. We discuss the exchange statistics of vortices in the presence of unpaired Majorana modes and comment on their experimental detection.

Original languageEnglish
Article number174521
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume83
Issue number17
DOIs
StatePublished - 31 May 2011
Externally publishedYes

Fingerprint

Dive into the research topics of 'Unpaired Majorana fermions in a layered topological superconductor'. Together they form a unique fingerprint.

Cite this