Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry

Abstract

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted external 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 physics of a one-dimensional doped Mott-insulator. The present 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.

arXiv comment5 pages, 3 figures, Supplementary Material is added

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• A phenomenological theory of superconductor diodes
• Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
• Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
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• Interaction effects on a Majorana zero mode leaking into a quantum dot
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• How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
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