Generalized quantum Hall projection Hamiltonians

Steven H. Simon, E. H. Rezayi, and Nigel R. Cooper
Phys. Rev. B 75, 075318 – Published 12 February 2007

Abstract

Certain well known quantum Hall states—including the Laughlin states, the Moore-Read Pfaffian, and the Read-Rezayi Parafermion states—can be defined as the unique lowest degree symmetric analytic function that vanishes as at least p powers as some number (g+1) of particles approach the same point. Analogously, these same quantum Hall states can be generated as the exact highest density zero energy state of simple angular momentum projection operators. Following this theme we determine the highest density zero energy state for many other values of p and g.

  • Received 17 August 2006

DOI:https://doi.org/10.1103/PhysRevB.75.075318

©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

See Also

Construction of a paired wave function for spinless electrons at filling fraction ν=25

Steven H. Simon, E. H. Rezayi, N. R. Cooper, and I. Berdnikov
Phys. Rev. B 75, 075317 (2007)

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Vol. 75, Iss. 7 — 15 February 2007

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