Phase diagram of a model for topological superconducting wires

Abstract

We calculate the phase diagram of a model for topological superconducting wires with local s-wave pairing, spin-orbit coupling $\vec{\lambda }$ and magnetic field $\vec{B}$ with arbitrary orientations. This model is a generalized lattice version of the one proposed by Lutchyn $\text{et al.}$ [Phys. Rev. Lett. $\text{105}$ 077001 (2010)] and Oreg $\text{et al.}$ [Phys. Rev. Lett. $\text{105}$ 177002 (2010)], who considered $\vec{\lambda }$ perpendicular to $\vec{B}$. The model has a topological gapped phase with Majorana zero modes localized at the ends of the wires. We determine analytically the boundary of this phase. When the directions of the spin-orbit coupling and magnetic field are not perpendicular, in addition to the topological phase and the gapped non topological phase, a gapless superconducting phase appears.

7 pages, 5 figures

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• Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
• Antichiral edge states and Bogoliubov Fermi surfaces in a two-dimensional proximity-induced superconductor
• Anisotropy-driven topological quantum phase transition in magnetic impurities