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Degeneracy of Multi-Component Quantum Hall States Satisfying Periodic Boundary Conditions

I. A. McDonald

cond-matarXiv:cond-mat/9411075

Abstract

In systems subject to periodic boundary conditions, Haldane has shown that states at arbitrary filling fraction possess a degeneracy with respect to center of mass translations. An analysis is carried out for multi-component electron systems and extra degeneracies are shown to exist. Their application to numerical studies is discussed.

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