3 years ago

Z4 parafermions in one-dimensional fermionic lattices.

Alessio Calzona, Tobias Meng, Maura Sassetti, Thomas L. Schmidt

Parafermions are emergent excitations which generalize Majorana fermions and are potentially relevant to topological quantum computation. Using the concept of Fock parafermions, we present a mapping between lattice $\mathbb{Z}_4$ parafermions and lattice spin-$1/2$ fermions which preserves the locality of operators with $\mathbb{Z}_4$ symmetry. Based on this mapping, we construct an exactly solvable, local, and interacting one-dimensional fermionic Hamiltonian which hosts zero-energy modes obeying parafermionic algebra. We numerically show that this parafermionic phase remains stable in a wide range of parameters, and discuss its signatures in the fermionic spectral function.

Publisher URL: http://arxiv.org/abs/1802.06061

DOI: arXiv:1802.06061v3

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