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Motivated by the unexpected Monte Carlo results as well as the theoreticalproposal of a large correction to scaling for the critical theory of the 2-dstaggered-dimer spin-1/2 Heisenberg model on the square lattice, we study thephase transitions induced by dimerization of several dimerized quantumHeisenberg models with spatial anisotropy using first principles Monte Carlomethod. Remarkably, while our Monte Carlo data for all the models consideredhere, including the herringbone- and ladder-dimer models on the square lattice,are compatible with the recently proposed scenario of an enhanced correction toscaling, we find it is likely that the enhanced correction to scaling manifestsitself as amplification of the nonuniversal prefactors appeared in the scalingforms. In other words, our data are in consistence with the establishednumerical values for the critical exponents, including the confluent exponent,in the O(3) universality class. Convincing numerical evidence is provided tosupport this proposed scenario.

Quantum phase transitions of 2-d dimerized spin-1/2 Heisenberg models with spatial anisotropy