T. Bhattacharya et al., CRITICAL-BEHAVIOR OF THE ANTIFERROMAGNETIC HEISENBERG-MODEL ON A STACKED TRIANGULAR LATTICE, Journal de physique. I, 4(2), 1994, pp. 181-186
We estimate, using a large-scale Monte Carlo simulation, the critical
exponents of the antiferromagnetic Heisenberg model on a stacked trian
gular lattice. We obtain the following estimates: gamma/upsilon = 2.01
1 +/- 0.014, upsilon = 0.585 +/- 0.009. These results contradict a per
turbative 2 + epsilon Renormalization Group calculation that points to
Wilson-Fisher O(4) behaviour. While these results may be coherent wit
h 4 - epsilon results from Landau-Ginzburg analysis, they show the exi
stence of an unexpectedly rich structure of the Renormalization Group
how as a function of the dimensionality and the number of components o
f the order parameter.