We propose using a mobile magnetic domain wall as a host of zero-energy Majorana fermions in a spin-orbit coupled nanowire sandwiched by two ferromagnetic strips and deposited on an s-wave superconductor. The ability to control domain walls by thermal means allows to braid Majorana fermions nonintrusively, which obey non-Abelian statistics. The analytical solutions of Majorana fermions inside domain walls are obtained in the strong spin-orbit regime.
@article{arxiv.1502.02088,
title = {Majorana Fermion Rides on a Magnetic Domain Wall},
author = {Se Kwon Kim and Sumanta Tewari and Yaroslav Tserkovnyak},
journal= {arXiv preprint arXiv:1502.02088},
year = {2015}
}