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Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator

Authors :
Mi, Shuo
Pikulin, D. I.
Wimmer, M.
Beenakker, C. W. J.
Source :
Phys. Rev. B 87, 241405(R) (2013)
Publication Year :
2013

Abstract

We show how a quantum dot with a ballistic single-channel point contact to a superconductor can be created by means of a gate electrode at the edge of a quantum spin Hall insulator (such as an InAs/GaSb quantum well). A weak perpendicular magnetic field traps a Majorana zero-mode, so that it can be observed in the gate-voltage-averaged differential conductance <dI/dV> as a 4e^2/h zero-bias peak above a (2/3{\pi}^2 - 4)e^2/h background. The one-dimensional edge does not permit the braiding of pairs of Majorana fermions, but this obstacle can be overcome by coupling opposite edges at a constriction, allowing for a demonstration of non-Abelian statistics.<br />Comment: 6 pages, 4 figures

Details

Database :
arXiv
Journal :
Phys. Rev. B 87, 241405(R) (2013)
Publication Type :
Report
Accession number :
edsarx.1304.1685
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevB.87.241405