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Pré-Publication, Document De Travail Année : 2006

Finite-temperature ordering in a two-dimensional highly frustrated spin model

Résumé

We investigate the classical counterpart of an effective Hamiltonian for a strongly trimerized kagome lattice. Although the Hamiltonian only has a discrete symmetry, the classical groundstate manifold has a continuous global rotational symmetry. Two cases should be distinguished for the sign of the exchange constant. In one case, the groundstate has a 120^\circ spin structure. To determine the transition temperature, we perform Monte-Carlo simulations and measure specific heat, the order parameter as well as the associated Binder cumulant. In the other case, the classical groundstates are macroscopically degenerate. A thermal order-by-disorder mechanism is predicted to select another 120^\circ spin-structure. A finite but very small transition temperature is detected by Monte-Carlo simulations using the exchange method.

Dates et versions

hal-00096657 , version 1 (19-09-2006)

Identifiants

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A. Honecker, D. C. Cabra, H. -U. Everts, Pierre Pujol, F. Stauffer. Finite-temperature ordering in a two-dimensional highly frustrated spin model. 2006. ⟨hal-00096657⟩
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