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Manipulating Majorana fermions in quantum nanowires with broken inversion symmetry

TitleManipulating Majorana fermions in quantum nanowires with broken inversion symmetry
Publication TypeJournal Article
Year of Publication2013
AuthorsX-J. Liu, and A. M. Lobos
JournalPhys. Rev. B
Volume87
Pagination060504
Date Publishedfeb
ISSN1098-0121
KeywordsNo Fellows
Abstract

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted magnetic field. Interestingly, we predict that a supercurrent applied in the proximate superconductor is able to restore the topological phase and therefore the Majorana end states. Using Abelian bosonization, we further confirm this result in the presence of electron-electron interactions and show a profound connection of this phenomenon to the commensurate-incommensurate transition in one-dimensional doped Mott insulators. These results have important applications in, e. g., realizing a supercurrent-assisted braiding of Majorana fermions, which proves highly useful in topological quantum computation with realistic Majorana networks. DOI: 10.1103/PhysRevB.87.060504

DOI10.1103/PhysRevB.87.060504