Generalized Quantum Hall Projection Hamiltonians

Details Generalized Quantum Hall Projection Hamiltonians Generalized Quantum Hall Projection Hamiltonians

2006-08-17

arxiv.org/abs/cond-mat/0608378v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages

Scientific paper

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.

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