Numéro
J. Phys. I France
Volume 4, Numéro 2, February 1994
Page(s) 181 - 186
DOI https://doi.org/10.1051/jp1:1994131
DOI: 10.1051/jp1:1994131
J. Phys. I France 4 (1994) 181-186

Short Communication

Critical behavior of the antiferromagnetic Heisenberg model on a stacked triangular lattice

T. Bhattacharya, A. Billoire, R. Lacaze and Th. Jolicoeur

Service de Physique Théorique de Saclay, Laboratoire de la Direction des Sciences de la Matière du CEA, 91191 Gif sur Yvette Cedex, France


(Received 14 May 1993, received in final form 24 September 1993, accepted 2 December 1993)

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: $\gamma/\nu = 2.011 \pm 0.014$, $\nu = 0.585 \pm 0.009$. 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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