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Fluxoid quantization in the resonating-valence-bond model.

Fluxoid quantization in the resonating-valence-bond model is investigated. It is shown that the explicit solution of the one-dimensional model is periodic with period h/2e in the fluxoid, but that in the zero-temperature limit there are two families of states corresponding to odd and even multiples of h/2e. It is shown that for a general lattice, not necessarily bipartite, a topological constraint leads to the conclusion that h/2e is the unit of fluxoid.