We have studied the phase diagram and excitations of the spin-orbital model derived for a three-dimensional perovskite lattice, as in KCuF₃. The results demonstrate that the orbital degeneracy drastically increases quantum fluctuations and suppresses the classical long-range order near the multicritical point in the mean-field phase diagram. This indicates the presence of a quantum liquid state, and we present explicit evidence for valence bond type correlations in three dimensions.
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Feiner et al. (1997) studied this question.
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