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Using large-scale quantum Monte Carlo simulations, we determine the groundstate phase diagram of the spin-1/2 antiferromagnetic Heisenberg model on thehoneycomb lattice for the most generic case of three varying interactionstrengths along the different lattice directions. We identify continuousquantum phase transition lines that separate the long-range orderedantiferromagnetic regime from three distinct quantum-disordered phases, eachcharacterized by dominant dimer-singlet formations. The finite-size behavioralong these phase transition lines exhibits anomalously large corrections toscaling, which we relate to similar recent findings in certain dimerizedquantum spin systems and to singular one-dimensional limits in the modelparameter space. We also comment more generally on the non-universality ofcritical cumulant ratios in anisotropic systems and attempts to restoreuniversality by varying the aspect ratio.

Anomalous scaling corrections and quantum phase diagram of the Heisenberg antiferromagnet on the spatially anisotropic honeycomb lattice