Ising model with competing next-nearest-neighbour interactions on the Kagome 
lattice

Wolf, Martin; Schotte, K. D.

doi:10.1088/0305-4470/21/9/032

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Ising model with competing next-nearest-neighbour interactions on the Kagome lattice

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Citation

Wolf, M., & Schotte, K. D. (1988). Ising model with competing next-nearest-neighbour interactions on the Kagome lattice. Journal of Physics A: Mathematical and General, 21(9), 2195-2209. doi:10.1088/0305-4470/21/9/032.

Cite as: https://hdl.handle.net/21.11116/0000-000E-AFF0-E

Abstract

Starting from a model for CsOH.H₂O the authors investigate the phase diagram of a two-dimensional Ising model on the Kagome lattice with antiferromagnetic nearest-neighbour and competing ferromagnetic second- and third-nearest-neighbour interactions by Monte Carlo simulations. They obtain two Kosterlitz-Thouless transitions as in the six-state clock model and a crossover to second-order transitions where the critical exponents are consistent with those of the three-state Potts model. They also determine the ground state for all values of the coupling constants.