Phys. Rev. B 75, 075318 (2007) [8 pages]Generalized quantum Hall projection HamiltoniansReceived 17 August 2006; revised 23 October 2006; published 12 February 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.075318
DOI:
10.1103/PhysRevB.75.075318
PACS:
73.43.−f
See AlsoSee Also: Steven H. Simon, E. H. Rezayi, N. R. Cooper, and I. Berdnikov, Construction of a paired wave function for spinless electrons at filling fraction ν=2∕5, Phys. Rev. B 75, 075317 (2007). |
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