The model is described in
https://arxiv.org/abs/cond-mat/0506438
which breaks the SU(2) spin rotation symmetry explicitly.
Numerical calculations for 24 sites(\(J_{x}=J_{y}=J_{z}\) for three kinds of links)
https://arxiv.org/abs/1004.2964v2
indicates that the ground state is approximately a singlet for 24 sites.
Question: Is this result guaranteed by any mechanism or just accidental?