Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-08-06
Physics
Condensed Matter
Statistical Mechanics
eps figures included using epsf; LaTeX source provided
Scientific paper
10.1103/PhysRevB.56.11673
The phase-diagram of the two-dimensional Blume-Capel model with a random crystal field is investigated within the framework of a real-space renormalization group approximation. Our results suggest that, for any amount of randomness, the model exhibits a line of Ising-like continuous transitions, as in the pure model, but no first-order transition. At zero temperature the transition is also continuous, but not in the same universality class as the Ising model. In this limit, the attractor (in the renormalization group sense) is the percolation fixed point of the site diluted spin-1/2 Ising model. The results we found are in qualitative agreement with general predictions made by Berker and Hui on the critical behaviour of random models.
Boechat Beatriz M.
Branco N. S.
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