We propose a scheme to induce Z3 parafermion modes, exotic zero-energy bound states that possess non-Abelian statistics. We consider a minimal setup consisting of a bundle of four tunnel coupled nanowires hosting spinless electrons that interact strongly with each other. The hallmark of our setup is that it relies only on simple one-dimensional wires, uniform magnetic fields, and strong interactions, but does not require the presence of superconductivity or exotic quantum Hall phases.
@article{arxiv.1311.3259,
title = {Parafermions in Interacting Nanowire Bundle},
author = {Jelena Klinovaja and Daniel Loss},
journal= {arXiv preprint arXiv:1311.3259},
year = {2014}
}