Chiral topological superconductivity in Josephson junction

TL;DR

This paper proposes a feasible 2D Josephson junction setup with a Zeeman field and phase difference to realize chiral topological superconductivity and Majorana modes, supported by lattice Hamiltonian simulations.

Contribution

It introduces a novel setup combining phase difference and magnetic field to achieve chiral topological superconductivity in Josephson junctions.

Findings

Phase difference reduces magnetic field needed for topological phase

Lattice Hamiltonian demonstrates chiral Majorana edge mode

Majorana bound states localized in vortices

Abstract

We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase with chiral Majorana edge mode. We show that the phase difference between two superconductors can efficiently reduce the magnetic field required to achieve the chiral topological superconductivity, providing an experimentally feasible setup to realize chiral Majorana edge modes. We also construct a lattice Hamiltonian of the setup to demonstrate the chiral Majorana edge mode and the Majorana bound state localized in vortices.