[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.
Disciplines :
Physics
Author, co-author :
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
External co-authors :
yes
Language :
English
Title :
Z4 parafermions in one-dimensional fermionic lattices
Publication date :
16 November 2018
Journal title :
Physical Review. B, Condensed Matter
ISSN :
1095-3795
Publisher :
American Physical Society, New York, United States - Maryland