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We study a frustrated spin-$S$ staggered-dimer Heisenberg model on squarelattice by using the bond-operator representation for quantum spins, andinvestigate the emergence of classical magnetic order from the quantummechanical (staggered-dimer singlet) ground state for increasing $S$. Usingtriplon analysis, we find the critical couplings for this quantum phasetransition to scale as $1/S(S+1)$. We extend the triplon analysis to includethe effect of quintet dimer-states, which proves to be essential forestablishing the classical order (N\'eel or collinear in the present study) forlarge $S$, both in the purely Heisenberg case and also in the model withsingle-ion anisotropy.

Quantum to classical transition in the ground state of a spin-$S$ quantum antiferromagnet