Universität zu Köln

Tournois, Yoran ORCID: 0000-0003-3751-5879 and Hermanns, Maria ORCID: 0000-0003-2258-1945 (2017). Conformal field theory construction for non-Abelian hierarchy wave functions. Phys. Rev. B, 96 (24). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

Full text not available from this repository.

Abstract

The fractional quantum Hall effect is the paradigmatic example of topologically ordered phases. One of its most fascinating aspects is the large variety of different topological orders that may be realized, in particular non-Abelian ones. Here we analyze a class of non-Abelian fractional quantum Hall model states which are generalizations of the Abelian Haldane-Halperin hierarchy. We derive their topological properties and show that the quasiparticles obey non-Abelian fusion rules of type su(q)(k). For a subset of these states we are able to derive the conformal field theory description that makes the topological properties-in particular braiding-of the state manifest. The model states we study provide explicit wave functions for a large variety of interesting topological orders, which may be relevant for certain fractional quantum Hall states observed in the first excited Landau level.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Tournois, Yoran UNSPECIFIED orcid.org/0000-0003-3751-5879 UNSPECIFIED Hermanns, Maria UNSPECIFIED orcid.org/0000-0003-2258-1945 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-208140
DOI:	10.1103/PhysRevB.96.245107
Journal or Publication Title:	Phys. Rev. B
Volume:	96
Number:	24
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM HALL STATES; STATISTICS; ALGEBRAS; SYSTEMS; FLUID Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/20814