  We propose a scheme to induce $\mathbb{Z}_3$ 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, uniform magnetic
fields, and strong interactions, but does not require the presence of
superconductivity or exotic quantum Hall phases.
