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We study the N\'eel to dimer transition driven by interlayer exchangecoupling in spin-S Heisenberg antiferromagnets on bilayer square and honeycomblattices for S=1/2, 1, 3/2. Using exact stochastic series expansion quantumMonte Carlo (QMC) calculations, we find that the critical value of theinterlayer coupling, J_{\perp c}[S], increases with increasing S, with clearevidence that the transition is in the O(3) universality class for all S. Usingbond operator mean field theory restricted to singlet and triplet states, wefind J_{\perp c}[S] ~ S(S+1), in qualitative accord with QMC, but the resultingJ_{\perp c} [S] is significantly smaller than the QMC value. For S=1/2,incorporating triplet-triplet interactions within a variational approach yieldsa critical interlayer coupling which agrees well with QMC. For higher spin, weargue that it is crucial to account for the high energy quintet modes, and showthat including these within a perturbative scheme leads to reasonable agreementwith QMC results for S=1,3/2. We discuss the broad implications of our resultsfor systems such as the triangular lattice S=1 dimer compound Ba_3Mn_2O_8 andthe S=3/2 bilayer honeycomb material Bi_3Mn_4O_{12}(NO_{3}).

physical review. b, condensed matter and materials physics

N\'eel to dimer transition in spin-S antiferromagnets: Comparing bond  operator theory with quantum Monte Carlo simulations for bilayer Heisenberg  models