English

The Critical Behaviour of the Spin-3/2 Blume-Capel Model in Two Dimensions

Statistical Mechanics 2009-10-31 v1

Abstract

The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its τ\tau-continuum Hamiltonian version is also considered and compared with others spin-3/2 quantum chains. Our results indicate that differently from the standard spin-1 Blume-Capel model there is no multicritical point along the order-disorder transition line. This is in qualitative agreement with mean field prediction but in disagreement with previous approximate renormalization group calculations. We also presented new results for the spin-1 Blume-Capel model.

Keywords

Cite

@article{arxiv.cond-mat/9901176,
  title  = {The Critical Behaviour of the Spin-3/2 Blume-Capel Model in Two Dimensions},
  author = {J. C. Xavier and F. C. Alcaraz and D. Pena Lara and J. A. Plascak},
  journal= {arXiv preprint arXiv:cond-mat/9901176},
  year   = {2009}
}

Comments

latex 18 pages, 4 figures