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

A. P. Young·H. Rieger
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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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A. P. Young, H. Rieger. 1995-10-05. A Numerical Study of the Random Transverse-Field Ising Spin Chain. https://doi.org/10.1103/physrevb.53.8486

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