Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet
Disordered Systems and Neural Networks
2016-08-31 v1
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.
Cite
@article{arxiv.cond-mat/9802108,
title = {Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet},
author = {C. Pich and A. P. Young},
journal= {arXiv preprint arXiv:cond-mat/9802108},
year = {2016}
}
Comments
4 pages, 4 postscript figures included