Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet

Details Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet

1998-02-10

arxiv.org/abs/cond-mat/9802108v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 postscript figures included

Scientific paper

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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