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Abstract
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. At the critical point,
the dynamical exponent is infinite and the typical correlation function decays
with a stretched exponential dependence on distance. Away from the critical
point there are Griffiths-McCoy singularities, characterized by a single,
continuously varying exponent, z', which diverges at the critical point, as in
one-dimension. Consequently, the zero temperature susceptibility diverges for
a range of parameters about the transition
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