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Néel to dimer transition in spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models
We study the N\'eel to dimer transition driven by interlayer exchange coupling in spin-$S$ Heisenberg antiferromagnets on bilayer square and honeycomb lattices for $S=1/2$, 1, and $3/2$. Using exact stochastic series expansion quantum Monte Carlo (QMC) calculations, we find that the critical value of the interlayer coupling, ${J}_{\ensuremath{\perp}c}[S]$, increases with …