Classification of topological symmetry sectors on anyon rings

Pfeifer, Robert N. C. (2012) Classification of topological symmetry sectors on anyon rings. Physical Review B, 85 24: 24126.1-24126.4. doi:10.1103/PhysRevB.85.245126

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Author Pfeifer, Robert N. C.
Title Classification of topological symmetry sectors on anyon rings
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
1538-4489
Publication date 2012-06-21
Sub-type Article (original research)
DOI 10.1103/PhysRevB.85.245126
Open Access Status DOI
Volume 85
Issue 24
Start page 24126.1
End page 24126.4
Total pages 4
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Subject 3104 Condensed Matter Physics
2504 Electronic, Optical and Magnetic Materials
Formatted abstract
The golden chain with antiferromagnetic interaction is an anyonic system of particular interest as when all anyons are confined to the chain, it is readily stabilized against fluctuations away from criticality. However, additional local scaling operators have recently been identified on the disk which may give rise to relevant fluctuations in the presence of free charges. Motivated by these results for Fibonacci anyons, this paper presents a systematic method of identifying all topological sectors of local scaling operators for critical anyon rings of arbitrary winding number on surfaces of arbitrary genus, extending the original classification scheme proposed by Feiguin Using the new scheme, it is then shown that for the golden chain, additional relevant scaling operators exist on the torus which are equivalent to those detected on the disk and which may disrupt the stability of the critical system. Protection of criticality against perturbations generated by these additional scaling operators can be achieved by suppressing the exchange of charge between the anyon ring and the rest of the manifold.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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