Manifestation of chirality in the vortex lattice in a two-dimensional topological superconductor

Abstract

We study the vortex lattice in a two-dimensional s-wave topological superconductor with Rashba spin-orbit coupling and Zeeman field by solving the Bogoliubov-de Gennes equations self-consistently for the superconducting order parameter. We find that when spin-orbit coupling is relatively weak, one of the two underlying chiralities in the topological superconducting state can be strongly manifest in the vortex core structure and govern the response of the system to vorticity and a nonmagnetic impurity where the vortex is pinned. The Majorana zero mode in the vortex core is found to be robust against the nonmagnetic impurity in that it remains effectively a zero-energy bound state regardless of the impurity potential strength and the major chirality. The spin polarization of the Majorana bound state depends on the major chirality for weak spin-orbit coupling, while it is determined simply by the vorticity when spin-orbit coupling is relatively strong.

15 pages, 20 figures

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• N-independent Localized Krylov Bogoliubov-de Gennes Method: Ultra-fast Numerical Approach to Large-scale Inhomogeneous Superconductors
• Origin of Topological Surface Superconductivity in FeSe${}_{0.45}$Te${}_{0.55}$
• Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor
• Vortex pinning by the point potential in topological superconductors: a scheme for braiding Majorana bound states
• Reduced-Shifted Conjugate-Gradient Method for a Green's Function: Efficient Numerical Approach in a Nano-structured Superconductor
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
• Interplay between pairing and correlations in spin-polarized bound states