Parafermions in an interacting nanowire bundle

Phys Rev Lett. 2014 Jun 20;112(24):246403. doi: 10.1103/PhysRevLett.112.246403. Epub 2014 Jun 18.


We propose a scheme to induce Z(3) 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, a uniform magnetic field, and strong interactions, but does not require the presence of superconductivity or exotic quantum Hall phases.