Phase diagram of a model for topological superconducting wires

• URL: http://arxiv.org/abs/2109.03190v2
• Date: Mon, 13 Sep 2021 16:20:23 GMT
• Title: Phase diagram of a model for topological superconducting wires
• Authors: Diego P\'erez Daroca and Armando A. Aligia
• Abstract summary: We calculate the phase diagram of a model for topological superconducting wires with local s-wave pairing. When the directions of the spin-orbit coupling and magnetic field are not perpendicular, a gapless superconducting phase appears.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\textit{et al.}$ [Phys. Rev. Lett. $\textbf{105}$ 077001 (2010)] and Oreg $\textit{et al.}$ [Phys. Rev. Lett. $\textbf{105}$ 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.

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