Z4 parafermions in one-dimensional fermionic lattices

Reference : Z4 parafermions in one-dimensional fermionic lattices


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	Focus Areas :	Physics and Materials Science
	To cite this reference:	http://hdl.handle.net/10993/37761

Title :	Z4 parafermions in one-dimensional fermionic lattices
Language :	English
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 >]
Publication date :	16-Nov-2018
Journal title :	Physical Review. B, Condensed Matter
Publisher :	American Physical Society
Volume :	98
Pages :	201110(R)
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0163-1829
e-ISSN :	1095-3795
City :	New York
Country :	MD
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/37761

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