Frustration in periodic systems : exact results for some 2D Ising models

G. André , R. Bidaux , J.-P. Carton , R. Conte , L. de Seze

We present exact results for various frustrated Ising models in two dimensions with periodic interactions. None of them gives rise to what could be regarded as spin glass order. The only long range orders encountered are of ferro- or antiferromagnetic type but the effect of frustration manifests itself at low temperature (entropy, susceptibilities). The analysis of these results provides some indications concerning a necessary condition for ordering in such systems and the possible nature of the spin glass order.

Mots clés: Ising model; spin systems

Domaines: Articles anciens

G. André, R. Bidaux, J.-P. Carton, R. Conte, L. de Seze. Frustration in periodic systems : exact results for some 2D Ising models. Journal de Physique, 1979, 40 (5), pp.479-488. ⟨10.1051/jphys:01979004005047900⟩. ⟨jpa-00209129⟩