Exact spin-spin correlation function for the zero-temperature random-field Ising model
Statistical Mechanics
2012-04-18 v2 Disordered Systems and Neural Networks
Abstract
An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin correlations and separated from the intrinsic topological length scale of the Bethe lattice is shown to diverge as a power law at the critical point. The critical exponents governing the behaviour of the correlation length are consistent with the mean-field values found for a hypercubic lattice with dimension greater than the upper critical dimension.
Keywords
Cite
@article{arxiv.1106.3424,
title = {Exact spin-spin correlation function for the zero-temperature random-field Ising model},
author = {T. P. Handford and F. J. Perez-Reche and S. N. Taraskin},
journal= {arXiv preprint arXiv:1106.3424},
year = {2012}
}
Comments
21 pages, 8 figures