Reference : Z4 parafermions in one-dimensional fermionic lattices
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
http://hdl.handle.net/10993/37761
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 mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
16-Nov-2018
Physical Review. B, Condensed Matter
American Physical Society
98
201110(R)
Yes
0163-1829
1095-3795
New York
MD
[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.
http://hdl.handle.net/10993/37761

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