  We study field-induced magnetic order in cubic lattices of dimers with
antiferromagnetic Heisenberg interactions. The thermal critical exponents at
the quantum phase transition from a spin liquid to a magnetically ordered phase
are determined from Stochastic Series Expansion Quantum Monte Carlo
simulations. These exponents are independent of the interdimer coupling ratios,
and converge to the value obtained by considering the transition as a
Bose-Einstein condensation of magnons, alpha_(BEC) = 1.5. The scaling results
are of direct relevance to the spin-dimer systems TlCuCl_3 and KCuCl_3, and
explain the broad range of exponents reported for field-induced ordering
transitions.
