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

T. Bhattacharya (1) , A. Billoire (1) , R. Lacaze (1) , T. Jolicoeur (1)

1 SPhT - Service de Physique Théorique

We estimate, using Monte Carlo simulation, the critical exponents of the anti-ferromagnetic $ O(3) $ model on a stacked triangular lattice. We get $ \gamma /\nu = 2.01 \pm .03, $ $ \nu =.79\pm .03. $ This is compatible with the $ O(4) $ fixed point, as suggested by the $ 2+\epsilon $ expansion, and in disagreement with the $ 4-\epsilon $ expansion. Our results are in contradiction with previous Monte Carlo estimates.

Domaines: Physique Générale [physics.gen-ph]; Autre [cond-mat.other]

T. Bhattacharya, A. Billoire, R. Lacaze, T. Jolicoeur. Critical behavior of the antiferromagnetic Heisenberg model on a stacked triangular lattice. Journal de Physique I, France, 2007, 4, pp.181-186. ⟨hal-00163978⟩