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

T. Bhattacharya·A. Billoire·R. Lacaze·Th. Jolicœur
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Abstract

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: $γ/ν= 2.011 \pm .014 $, $ν= .585 \pm .009 $. These results contradict a perturbative $2+ε$ Renormalization Group calculation that points to Wilson-Fisher O(4) behaviour. While these results may be coherent with $4-ε$ 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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T. Bhattacharya, A. Billoire, R. Lacaze, Th. Jolicœur. 1993-09-27. Critical Behavior of the Antiferromagnetic Heisenberg Model on a Stacked Triangular Lattice. https://doi.org/10.1051/jp1%3A1994131

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