A Numerical Study of the Random Transverse-Field-Ising Spin Chain

A.P. Young and H. Rieger
Phys. Rev. B 53, 8486 (1996).

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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