The ground-state wave function for the spin-1/2 quantum antiferromagnet on a 36-site kagome$iaa--- structure is found by numerical diagonalization. Spin-spin correlations and spin gaps indicate that the ground state of this system does not possess magnetic order. The spin-Peierls order is studied using a four-spin correlation function. The short-range structure in this correlation function is found to be consistent with a simple dimer-liquid model. The spin-Peierls order, if it exists, must be quite small.
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Leung et al. (1993) studied this question.
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