Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
Disordered Systems and Neural Networks
2009-10-31 v1 Statistical Mechanics
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. At the critical point, the dynamical exponent is infinite and the typical correlation function decays with a stretched exponential dependence on distance. Away from the critical point there are Griffiths-McCoy singularities, characterized by a single, continuously varying exponent, z', which diverges at the critical point, as in one-dimension. Consequently, the zero temperature susceptibility diverges for a RANGE of parameters about the transition.
Keywords
Cite
@article{arxiv.cond-mat/9812414,
title = {Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet},
author = {C. Pich and A. P. Young and H. Rieger and N. Kawashima},
journal= {arXiv preprint arXiv:cond-mat/9812414},
year = {2009}
}
Comments
4 pages RevTeX, 3 eps-figures included