  We study the quantum phase transition in the two-dimensional random Ising
model in a transverse field by Monte Carlo simulations. We find results similar
to those known analytically in one-dimension: the dynamical exponent is
infinite and, at the critical point, the typical correlation function decays
with a stretched exponential dependence on distance. Away from the critical
point, there may be different exponents for the divergence of the average and
typical correlation lengths, again as in one-dimension, but the evidence for
this is less strong.
