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Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet

C. Pich·A. P. Young
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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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C. Pich, A. P. Young. 1998-02-10. Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet. https://arxiv.org/abs/cond-mat/9802108

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