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arXiv · 1206.7109

Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry

Xiong-Jun Liu·Alejandro M. Lobos
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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.

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Xiong-Jun Liu, Alejandro M. Lobos. 2012-10-07. Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry. https://doi.org/10.1103/physrevb.87.060504

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