Condensate-induced transitions between topologically ordered phases

Bais, F.A. and Slingerland, J.K. (2009) Condensate-induced transitions between topologically ordered phases. Physical Review B, 79 (4). 045316-1-045316-27. ISSN 1098-0121

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We investigate transitions between topologically ordered phases in two spatial dimensions induced by the condensation of a bosonic quasiparticle. To this end, we formulate an extension of the theory of symmetrybreaking phase transitions which applies to phases with topological excitations described by quantum groups or modular tensor categories. This enables us to deal with phases whose quasiparticles have noninteger quantum dimensions and obey braid statistics. Many examples of such phases can be constructed from two-dimensional rational conformal field theories, and we find that there is a beautiful connection between quantum group symmetry breaking and certain well-known constructions in conformal field theory, notably the coset construction, the construction of orbifold models, and more general conformal extensions. Besides the general framework, many representative examples are worked out in detail.

Item Type: Article
Keywords: Condensate-induced transitions; topologically ordered phases;
Academic Unit: Faculty of Science and Engineering > Experimental Physics
Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 2063
Depositing User: Dr. Joost Slingerland
Date Deposited: 21 Jul 2010 14:41
Journal or Publication Title: Physical Review B
Publisher: American Physical Society
Refereed: Yes

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