Ground state non-universality in the random field Ising model
Disordered Systems and Neural Networks
2007-05-23 v2
Abstract
Two attractive and often used ideas, namely universality and the concept of a zero temperature fixed point, are violated in the infinite-range random-field Ising model. In the ground state we show that the exponents can depend continuously on the disorder and so are non-universal. However, we also show that at finite temperature the thermal order parameter exponent one half is restored so that temperature is a relevant variable. The broader implications of these results are discussed.
Cite
@article{arxiv.cond-mat/0012042,
title = {Ground state non-universality in the random field Ising model},
author = {P. M. Duxbury and J. H. Meinke},
journal= {arXiv preprint arXiv:cond-mat/0012042},
year = {2007}
}
Comments
4 pages 2 figures, corrected prefactors caused by a missing factor of two in Eq. 2., added a paragraph in conclusions for clarity