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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:
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.
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