Pseudopotentials for multiparticle interactions in the quantum Hall regime

Steven H. Simon, E. H. Rezayi, and Nigel R. Cooper
Phys. Rev. B 75, 195306 – Published 4 May 2007

Abstract

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.

  • Received 17 January 2007

DOI:https://doi.org/10.1103/PhysRevB.75.195306

©2007 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 75, Iss. 19 — 15 May 2007

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