Bais, F.A. and Slingerland, Joost (2009) Condensate-induced transitions between topologically ordered phases. Physical Review B, 79 (4). 045316-1-045316-27. ISSN 1098-0121
Download (435kB)
|
Abstract
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 |
URI: | |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Repository Staff Only(login required)
Item control page |
Downloads
Downloads per month over past year