Z4 parafermions in one-dimensional fermionic lattices
English
Calzona, Alessio[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > > ; University of Genova > Department of Physics]
Meng, Tobias[TU Dresden > Institute of Theoretical Physics]
Sassetti, Maura[University of Genova > Department of Physics]
Schmidt, Thomas[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
[en] 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 Z4-parafermions and lattice spin-1/2 fermions which preserves the locality of operators with Z4 symmetry. Based on this mapping, we construct an exactly solvable, local one-dimensional fermionic Hamiltonian which hosts parafermionic edge states. We numerically show that the parafermionic phase remains stable in a wide range of parameters, and discuss its signatures in the fermionic spectral function.