Majorana modes in smooth normal-superconductor nanowire junctions

Abstract

A numerical method to obtain the spectrum of smooth normal-superconductor junctions in nanowires, able to host Majorana zero modes, is presented. Softness in the potential and superconductor interfaces yields opposite effects on the protection of Majorana modes. While a soft potential is a hindrance for protection, a soft superconductor gap transition greatly favors it. Our method also points out the possibility of extended Majorana states when propagating modes are active far from the junction, although this requires equal incident fluxes in all open channels.

10 pages, 13 figures

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Cited by in corpus (5)

• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Effects of tilting the magnetic field in 1D Majorana nanowires
• Majorana states and magnetic orbital motion in planar hybrid nanowires
• Electron-hole coherence in core-shell nanowires with partial proximity induced superconductivity