Universität zu Köln

Teo, Jeffrey C. Y., Roy, Abhishek and Chen, Xiao (2014). Unconventional fusion and braiding of topological defects in a lattice model. Phys. Rev. B, 90 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We examine non-Abelian topological defects in an Abelian lattice model in two dimensions. We first construct an exact solvable lattice model that exhibits coexisting and intertwined topological and classical orders. The anyon types of quasiparticle excitations are permuted by lattice symmetry operations like translations, rotations, and reflections. The global anyon permutation symmetry has a group structure of S3, the permutation group of three elements. Topological crystalline defects-dislocations and disclinations-change the anyon type of an orbiting quasiparticle. They exhibit multichannel order-dependent fusion rules and projective braiding operations. Their braiding and exchange statistics breaks modular invariance and violates the conventional spin-statistics theorem. We develop a framework to characterize these unconventional properties that originate from the semiclassical nature of defects.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Teo, Jeffrey C. Y. UNSPECIFIED UNSPECIFIED UNSPECIFIED Roy, Abhishek UNSPECIFIED UNSPECIFIED UNSPECIFIED Chen, Xiao UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-428918
DOI:	10.1103/PhysRevB.90.115118
Journal or Publication Title:	Phys. Rev. B
Volume:	90
Number:	11
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language NON-ABELIAN STATISTICS; QUANTUM HALL STATES; FIELD-THEORY; MODULAR TRANSFORMATIONS; LOCAL OBSERVABLES; MAJORANA FERMIONS; LINKING NUMBERS; SPIN; DISLOCATIONS; DEGENERACY Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/42891