Influence of rare regions on quantum phase transition in antiferromagnets with hidden degrees of freedom

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The effects of rare regions on the critical properties of quantum antiferromagnets with hidden degrees of freedom within the renormalization group is discussed. It is shown that for ``constrained'' systems the stability range on the phase diagram remains the same as in the mean-field theory while for ``unconstrained'' systems the stability range is effectively decreased.
12 pages, latex, 4 figures; to appear in Physica A

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