Vortex pinning by the point potential in topological superconductors: a scheme for braiding Majorana bound states

TL;DR

This paper proposes a theoretical scheme to braid Majorana bound states in topological superconductors by manipulating vortex pinning through point potentials, enabling controlled exchange of vortices.

Contribution

It introduces a novel method for braiding Majorana states via vortex pinning and demonstrates its effectiveness through numerical simulations.

Findings

Vortex pinning can be controlled by point potentials.

Majorana bound states are robust against potential strength.

Numerical simulations confirm vortex exchange and state stability.

Abstract

We propose theoretically an effective scheme for braiding Majorana bound states by manipulating the point potential. The vortex pinning effect is carefully elucidated. This effect may be used to control the vortices and Majorana bound states in topological superconductors. The exchange of two vortices induced by moving the potentials is simulated numerically. The zero-energy state in the vortex core is robust with respect to the strength of the potential. The Majorana bound states in a pinned vortex are identified numerically.