Manipulating Majorana fermions using supercurrents

Abstract

Topological insulator edges and spin-orbit-coupled quantum wires in proximity to s-wave super- conductors can be tuned through a topological quantum phase transition by a Zeeman field. Here we show that a supercurrent flowing in the s-wave superconductor also drives such a transition. We propose to use this new mechanism to generate and manipulate Majorana fermions that localize at domain walls between topological and nontopological regions of an edge or wire. In quantum wires, this method carries the added benefit that a supercurrent reduces the critical Zeeman field at which the topological phase appears.

4+ pages, 6 figures, minor changes, added references; published version

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• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
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• Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
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