Finite-size scaling of the frustrated Heisenberg model on a hexagonal lattice

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Abstract
We investigate through Monte Carlo simulations the critical behavior of the antiferromagnetic Heisenberg model on a hexagonal lattice. Critical exponents associated with both magnetic and chiral orderings were estimated. The transition temperatures of these two kinds of order were found to be the same within error margins, in agreement with previous results. The calculation of the Binder parameter also demonstrates that the transition is most likely continuous. The exponents obtained agree, for the most part, with those of Kawamura and thus provide further support for the existence of a new universality class.