Composite Fermion Theory for Bosonic Quantum Hall States on Lattices

G. Möller and N. R. Cooper
Phys. Rev. Lett. 103, 105303 – Published 4 September 2009

Abstract

We study the ground states of the Bose-Hubbard model in a uniform magnetic field, motivated by the physics of cold atomic gases on lattices at high vortex density. Mapping the bosons to composite fermions (CF) leads to the prediction of quantum Hall fluids that have no counterpart in the continuum. We construct trial states for these phases and test numerically the predictions of the CF model. We 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.

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  • Received 20 April 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.105303

©2009 American Physical Society

Authors & Affiliations

G. Möller1 and N. R. Cooper1,2

  • 1Theory of Condensed Matter Group, Cavendish Laboratory, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
  • 2Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris Sud, 91406 Orsay, France

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Vol. 103, Iss. 10 — 4 September 2009

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