Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures

Abstract

We investigate the role of the coupling between a spin-orbit coupled semiconductor nanowire and a conventional s-wave superconductor on the emergence of the topological superconducting phase with Majorana bound states in an applied magnetic field. We show that when the coupling is strong, the topological phase transition point is very sensitive to the size of the superconductor and in order to reach the topological phase a strong magnetic field is required, which can easily be detrimental for superconductivity. Moreover, the induced energy gap separating the Majorana bound states and other quasi-particles in the topological phase is substantially suppressed compared to the gap at zero field. In contrast, in the weak coupling regime, we find that the situation is essentially the opposite, with the topological phase emerging at much lower magnetic fields and a sizable induced energy gap in the topological phase, that can also be controlled by the chemical potential of the superconductor. Furthermore, we show that the weak coupling regime does not generally allow for the formation of topologically trivial zero-energy states at the wire end points, in stark contrast to the strong coupling regime where such states are found for a wide range of parameters. Our results thus put forward the weak coupling regime as a promising route to mitigate the most unwanted problems present in nanowires for realizing topological superconductivity and Majorana bound states.

Metallization and proximity superconductivity in topological insulator nanowires

“…1 where the TI nanowire is strongly tunnel coupled to a thin layer (∼10 nm) of superconductor. In semiconductors that possess strong Rashba spin-orbit coupling-which have also been predicted to host MBSs in certain circumstances [34,35]-the full influence of the tunnel coupling to a superconducting layer has previously been analyzed [36][37][38][39][40][41][42][43] and revealed that a significant roadblock to achieving MBSs in semiconductors is the metallization of the semiconductor by the superconductor. Metallization [37,38] is the process by which, when a large pairing potential is induced in the semiconductor, other properties of the semiconductor are renormalized toward the values of the attached superconducting metal.…”