Abstract
We perform a slight modification of the decoration-decimation transformation which allows us to map the homogeneous Ising model on the honeycomb lattice on an inhomogeneous Ising model on the Kagomé lattice. Then, we obtain exact results for a class of random bond Ising model on the Kagomé lattice with competing interactions and show that the different types of frustration make the critical point of the pure model disappear.
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Giacomini, H.J., Riera, J.A. Exact results for a random frustrated Ising model on the Kagomé lattice. J Stat Phys 49, 491–509 (1987). https://doi.org/10.1007/BF01009346
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DOI: https://doi.org/10.1007/BF01009346