Impurity-impurity pair correlation function and paramagnetic-ferromagnetic phase transition in the random Ising model
Abstract
In this Monte Carlo study we concentrated on the influence of non-magnetic impurities arranged as the lines with random orientation on paramagnetic-to-ferromagnetic phase transition in the 3D Ising model. Special emphasize is given to the long-distance decay of the impurity-impurity pair correlation function. It is shown that for the lattice sizes considered (L=10-96) and for the two different impurity distributions (purely random and mutually avoiding lines) the function is governed by the power law of 1/r^a with an universal exponent a \simeq 2. This result supports our findings about the numerical values of the critical exponents governing magnetic phase transition in the 3D Ising model with long-range-correlated disorder.
Cite
@article{arxiv.cond-mat/0611778,
title = {Impurity-impurity pair correlation function and paramagnetic-ferromagnetic phase transition in the random Ising model},
author = {D. Ivaneyko and B. Berche and Yu. Holovatch and Ja. Ilnytskyi},
journal= {arXiv preprint arXiv:cond-mat/0611778},
year = {2009}
}
Comments
4 pages, submitted to the proceedings of the 2nd International Conference on Quantum Electrodynamics and Statistical Physics (Kharkiv, Ukraine, 19-23 September, 2006)