Universität zu Köln

Teo, Jeffrey C. Y., Roy, Abhishek and Chen, Xiao (2014). Braiding statistics and congruent invariance of twist defects in bosonic bilayer fractional quantum Hall states. Phys. Rev. B, 90 (15). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We describe the braiding statistics of topological twist defects in fractional quantum Hall (FQH) states. In particular, we study Abelian bosonic (mmn) FQH states with bilayer symmetries. Twist defects are staircases that lift orbiting quasiparticles from one layer to another. These point defects exhibit semiclassical non-Abelian characteristics. We develop a procedure to evaluate consistent basis transformations (F symbols) of the defect fusion theory. Unlike quantum anyonic excitations of a topological phase, the exchange and braiding statistics of twist defects is not characterized by modular transformations, but instead a subcollection known as congruent transformations. We also characterize the projective nature of unitary braiding operations and relate it to the global Z(2) bilayer symmetry.

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:38-425840
DOI:	10.1103/PhysRevB.90.155111
Journal or Publication Title:	Phys. Rev. B
Volume:	90
Number:	15
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 VORTICES; ANYONS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/42584