Blume-Emery-Griffiths Model in a Random Crystal Field
Abstract
We study the Blume-Emery-Griffiths model in a random crystal field in two and three dimensions, through a real-space renormalization-group approach and a mean-field approximation, respectively. According to the two-dimensional renormalization-group calculation, non-symmetry-breaking first-order phase transitions are eliminated and symmetry-breaking discontinuous transitions are replaced by continuous ones, when disorder is introduced. On the other hand, the mean-field calculation predicts that first-order transitions are not eliminated by disorder, although some changes are introduced in the phase diagrams. We make some comments on the consequences of a degeneracy parameter, which may be relevant in martensitic transitions.
Cite
@article{arxiv.cond-mat/9904082,
title = {Blume-Emery-Griffiths Model in a Random Crystal Field},
author = {N. S. Branco},
journal= {arXiv preprint arXiv:cond-mat/9904082},
year = {2009}
}
Comments
Uses epsf; 6 pages; 6 figures included; to appear in Phys. Rev. B