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

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

1999-01-19

arxiv.org/abs/cond-mat/9901176v1

Phys. Rev. B vol. 57 pg. 11575 (1998)

Physics

Condensed Matter

Statistical Mechanics

latex 18 pages, 4 figures

Scientific paper

10.1103/PhysRevB.57.11575

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 $\tau$-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.

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