Critical Behavior of the Antiferromagnetic Heisenberg Model on a Stacked Triangular Lattice

Details Critical Behavior of the Antiferromagnetic Heisenberg Model on a Stacked Triangular Lattice Critical Behavior of the Antiferromagnetic Heisenberg Model on a Stacked Triangular Lattice

1993-02-15

arxiv.org/abs/cond-mat/9302019v3

J.Phys.I(France) 4 (1994) 181-186

Physics

Condensed Matter

Latex file, 10 pages, 1 PostScript figure. Was posted with a wrong Title !!

Scientific paper

10.1051/jp1:1994131

We estimate, using a large-scale Monte Carlo simulation, the critical exponents of the antiferromagnetic Heisenberg model on a stacked triangular lattice. We obtain the following estimates: $\gamma/\nu= 2.011 \pm .014 $, $\nu= .585 \pm .009 $. These results contradict a perturbative $2+\epsilon$ Renormalization Group calculation that points to Wilson-Fisher O(4) behaviour. While these results may be coherent with $4-\epsilon$ results from Landau-Ginzburg analysis, they show the existence of an unexpectedly rich structure of the Renormalization Group flow as a function of the dimensionality and the number of components of the order parameter.

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