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.

5 pages, 3 figures, Supplementary Material is added

References in corpus (13)

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Cited by in corpus (16)

• Superconducting diode effect due to magnetochiral anisotropy in topological insulator and Rashba nanowires
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Majorana Braiding Dynamics on Nanowires
• The supercurrent diode effect and nonreciprocal paraconductivity due to the chiral structure of nanotubes
• Effects of tilting the magnetic field in 1D Majorana nanowires
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Josephson Diode Effect in Topological Superconductor
• Majorana states and magnetic orbital motion in planar hybrid nanowires
• Phase diagram of a model for topological superconducting wires
• Fano interference and a slight fluctuation of the Majorana hallmark
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Effects of Peierls phases in open linear chains
• Majorana transport in superconducting nanowire with Rashba and Dresselhaus spin-orbit couplings
• Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
• Giant and robust Josephson diode effect in multiband topological nanowires
• Interfacing a topological qubit with a spin qubit in a hybrid quantum system