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Abstract
We study numerically the critical region and the
disordered phase of the
random transverse-field Ising chain. By using a
mapping of Lieb, Schultz and Mattis to non-interacting fermions, we
can obtain a numerically exact solution for rather large system sizes,
$L \le 128$. Our
results confirm the striking predictions of earlier analytical work and, in
addition, give new results for some probability distributions and
scaling functions.
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