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Supercurrent-induced Majorana bound states in a planar geometry
by André Melo, Sebastian Rubbert, Anton R. Akhmerov
- Published as SciPost Phys. 7, 039 (2019)
|As Contributors:||Anton Akhmerov · André Melo|
|Submitted by:||Melo, André|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
We propose a new setup for creating Majorana bound states in a two-dimensional electron gas Josephson junction. Our proposal relies exclusively on a supercurrent parallel to the junction as a mechanism of breaking time-reversal symmetry. We show that combined with spin-orbit coupling, supercurrents induce a Zeeman-like spin splitting. Further, we identify a new conserved quantity---charge-momentum parity---that prevents the opening of the topological gap by the supercurrent in a straight Josephson junction. We propose breaking this conservation law by adding a third superconductor, introducing a periodic potential, or making the junction zigzag-shaped. By comparing the topological phase diagrams and practical limitations of these systems we identify the zigzag-shaped junction as the most promising option.
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Published as SciPost Phys. 7, 039 (2019)
Author comments upon resubmission
List of changes
- Added remark and reference to explain why we take spin-orbit coupling to be zero in the proximitized regions.
- Added explanation of why our qualitative results are unaffected by the details of the supercurrent distribution in the zigzag geometry.
- Changed penetration depth from Al to Nb in the magnetic field estimate.