Power-law correlated phase in random-field XY models and randomly pinned charge-density waves
Abstract
Monte Carlo simulations have been used to study the Z6 ferromagnet in a random field on simple cubic lattices, which is a simple model for randomly pinned charge-density waves. The random field is chosen to have infinite strength on a fraction x of the sites of the lattice, and to be zero on the remaining sites. For x= 1/16 there are two phase transitions. At low temperature there is a ferromagnetic phase, which is stabilized by the six-fold nonrandom anisotropy. The intermediate temperature phase is characterized by a |k|^(-3) decay of two-spin correlations, but no true ferromagnetic order. At the transition between the power-law correlated phase and the paramagnetic phase the magnetic susceptibility diverges, and the two-spin correlations decay approximately as |k|^(-2.87).
Keywords
Cite
@article{arxiv.cond-mat/9608036,
title = {Power-law correlated phase in random-field XY models and randomly pinned charge-density waves},
author = {Ronald Fisch},
journal= {arXiv preprint arXiv:cond-mat/9608036},
year = {2009}
}
Comments
16 pages, 8 figures, Postscript