The valence-bond crystal is proposed as a ground state of spin-1/2 Heisenberg antiferromagnet on 3-dimensional fully frustrated pyrochlore by the bond-operator theory. This crystal, formed as a set of RVB-like tetrahedral singlet states, has lower energy than the state consisting of two dimers in a tetrahedron. The spectra of triplet excitation have a finite gap and a symmetry lower than that of the lattice. The comparison with Y(Sc)Mn 2 is discussed.
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Isoda et al. (1998) studied this question.
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