Abstract
We theoretically investigate the crystalline anisotropy of topological superconductivity (TS) in phase controlled planar Josephson junctions (JJs) subjected to Rashba and Dresselhaus spin-orbit couplings and in-plane magnetic fields. We show how the interplay between the magnetic field direction and the orientation of the junction with respect to its crystallographic axes can affect the TS. Our results explain previous experiments demonstrating the high sensibility of TS to the in-plane magnetic field direction. The anisotropy can be used to electrically tune between BDI and D symmetry classes in a controlled fashion and thereby optimize the stability and localization of Majorana bound states in planar JJs. Our findings can be used as a guide for achieving the most favorable conditions when engineering TS in planar JJs and can be particularly relevant for setups containing non-collinear junctions, which have been proposed for fusion and braiding operations on multiple Majorana pairs.
Published Version
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