Robust topological phase in proximitized core-shell nanowires coupled to multiple superconductors

Abstract

We consider core-shell nanowires with prismatic geometry contacted with two or more superconductors in the presence of a magnetic field applied parallel to the wire. In this geometry, the lowest energy states are localized on the outer edges of the shell, which strongly inhibits the orbital effects of the longitudinal magnetic field that are detrimental to Majorana physics. Using a tight-binding model of coupled parallel chains, we calculate the topological phase diagram of the hybrid system in the presence of non-vanishing transverse potentials and finite relative phases between the parent superconductors. We show that having finite relative phases strongly enhances the stability of the induced topological superconductivity over a significant range of chemical potentials and reduces the value of the critical field associated with the topological quantum phase transition.

24 pages, 16 figures

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Cited by in corpus (13)

• Flux-induced topological superconductivity in full-shell nanowires
• Flux-induced Majorana modes in full-shell nanowires
• Topological superconductivity in full shell proximitized nanowires
• Phase-induced topological superconductivity in a planar heterostructure
• Distinguishing Majorana Zero Modes from Impurity States through Time-Resolved Transport
• Conditions for fully gapped topological superconductivity in topological insulator nanowires
• Three-phase Majorana zero modes at tiny magnetic fields
• One-dimensional topological superconductivity based entirely on phase control
• Conductance features of core-shell nanowires determined by the internal geometry
• Transverse profile and 3D spin canting of a Majorana state in carbon nanotubes
• Corner and side localization of electrons in irregular hexagonal semiconductor shells
• Majorana Zero Modes in Nanowires with Combined Triangular and Hexagonal Geometry
• Electromagnetic field emitted by core-shell semiconductor nanowires driven by an alternating current