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Phys. Rev. B 75, 195306 (2007) [11 pages]

Pseudopotentials for multiparticle interactions in the quantum Hall regime

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Steven H. Simon
Alcatel-Lucent, Bell Labs, Murray Hill, New Jersey 07974, USA

E. H. Rezayi
Department of Physics, California State University, Los Angeles, California 90032, USA

Nigel R. Cooper
T. C. M. Group, Cavendish Laboratory, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

Received 17 January 2007; published 4 May 2007

In fractional quantum Hall physics, the Hilbert space is projected to a single Landau level and the entire Hamiltonian consists of just the projected interelectron interaction. Haldane’s pseudopotential formalism has been an extremely useful tool both for understanding these interactions and for understanding the quantum Hall states that result. In the current paper, we consider the analog of this pseudopotential construction that results from general M-body interactions rather than the usual (Coulomb) two-body interaction.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.195306
DOI:
10.1103/PhysRevB.75.195306
PACS:
73.43.−f