We study all possible Majorana modes in two-dimensional spin-orbit coupled ferromagnetic superconductor-normal state-superconductor (SNS) Josephson junctions and propose experiments to detect them. With the S region in a non-trivial topological phase and a superconducting phase difference ϕ=π across the junction, two delocalized Majorana fermions with no excitation gap appear in the N region. In addition, if S and N belong to different topological phases and have well-separated the Fermi surfaces, localized Majorana fermions with a finite excitation gap also emerge at both SN interfaces for all ϕ.
@article{arxiv.1106.1801,
title = {Majorana fermions in spin-orbit coupled ferromagnetic Josephson junctions},
author = {Annica M. Black-Schaffer and Jacob Linder},
journal= {arXiv preprint arXiv:1106.1801},
year = {2015}
}