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A general approach to quantum Hall hierarchies
Stockholm University, Faculty of Science, Department of Physics.
2011 (English)In: New Journal of Physics, ISSN 1367-2630, E-ISSN 1367-2630, Vol. 13, 075006- p.Article in journal (Refereed) Published
Abstract [en]

The Abelian hierarchy of quantum Hall states accounts for most of the states in the lowest Landau level, and there is evidence of a similar hierarchy of non-Abelian states emanating from the nu = 5/2 Moore-Read state in the second Landau level. Extending a recently developed formalism for hierarchical quasihole condensation, we present a theory that allows for the explicit construction of the ground state wave function, as well as its quasiparticle excitations, for any state based on the Abelian hierarchy. We relate our construction to structures in rational conformal field theory and stress the importance of using coherent state wave functions, which allows us to formulate an extension of the bulk-edge correspondence that was conjectured by Moore and Read. Finally, we study the proposed ground state wave functions in the limiting geometry of a thin torus and argue that they coincide with the known exact results.

Place, publisher, year, edition, pages
2011. Vol. 13, 075006- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-66566DOI: 10.1088/1367-2630/13/7/075006ISI: 000293886500003OAI: oai:DiVA.org:su-66566DiVA: diva2:468926
Note
authorCount :3Available from: 2011-12-22 Created: 2011-12-20 Last updated: 2017-12-08Bibliographically approved

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