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Composite Fermion Theory for Bosonic Quantum Hall States on Lattices

Möller, Gunnar, Cooper, N R (2009) Composite Fermion Theory for Bosonic Quantum Hall States on Lattices. Physical Review Letters, 103 (10). p. 105303. ISSN 0031-9007. E-ISSN 1079-7114. (doi:10.1103/PhysRevLett.103.105303) (KAR id:55539)


We study the groundstates of the Bose-Hubbard model in a uniform effective magnetic field, illustrating the physics of cold atomic gases on `rotating optical lattices'. Mapping the bosons to composite fermions leads to the prediction of quantum Hall fluids that have no counterpart in the continuum. We construct trial wavefunctions for these phases, and perform numerical tests of the predictions of the composite fermion model. Our results establish the existence of strongly correlated phases beyond those in the continuum limit, and provide evidence for a wider scope of the composite fermion approach beyond its application to the lowest Landau-level.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevLett.103.105303
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Gunnar Moeller
Date Deposited: 05 Dec 2017 15:42 UTC
Last Modified: 16 Nov 2021 10:22 UTC
Resource URI: (The current URI for this page, for reference purposes)

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