Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet

Preprint

29 December 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9812414

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.

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Version 1, 1998-12-29, ArXiv
Published version: Physical Review Letters, 81 (26), 5916.

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