Universität zu Köln

Bondesan, Roberto and Quella, Thomas ORCID: 0000-0002-5441-4124 (2013). Topological and symmetry broken phases of Z(N) parafermions in one dimension. J. Stat. Mech.-Theory Exp.. BRISTOL: IOP PUBLISHING LTD. ISSN 1742-5468

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Abstract

We classify the gapped phases of Z(N) parafermions in one dimension and construct a representative of each phase. Even in the absence of additional symmetries besides parafermionic parity, parafermions may be realized in a variety of phases, one for each divisor n of N. The phases can be characterized by spontaneous symmetry breaking, topology, or a mixture of the two. Purely topological phases arise if n is a unitary divisor, i.e. if n and N/n are co-prime. Our analysis is based on the explicit realization of all symmetry broken gapped phases in the dual Z(N)-invariant quantum spin chains.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bondesan, Roberto UNSPECIFIED UNSPECIFIED UNSPECIFIED Quella, Thomas UNSPECIFIED orcid.org/0000-0002-5441-4124 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-474524
DOI:	10.1088/1742-5468/2013/10/P10024
Journal or Publication Title:	J. Stat. Mech.-Theory Exp.
Date:	2013
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1742-5468
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GAUGE SYSTEMS; QUANTUM; SUPERCONDUCTOR; DISORDER; FERMIONS Multiple languages Mechanics; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47452