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We have studied the failure of 'fluctuation-selection' in a ground state manifold associated with an extensive entropy. The recursive structure of the Husimi cactus permits exact calculation, and thus avoids problems associated with non-perturbative fluctuations. The structure of the barriers separating the ground states can be determined; in all the cases we have examined, we find that the system prefers to remain a spin liquid rather than to 'localize' in an ordered state that breaks the degeneracy of the manifold.
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Chandra et al. (1994) studied this question.
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