Decorating random quadrangulations

@article{Johnston2001DecoratingRQ,
  title={Decorating random quadrangulations},
  author={Desmond A. Johnston and Ranasinghe P.K.C. Malmini},
  journal={Journal of Physics A},
  year={2001},
  volume={35}
}
On various regular lattices (simple cubic, body centred cubic, etc) decorating an edge with an Ising spin coupled by bonds of strength L to the original vertex spins and competing with a direct anti-ferromagnetic bond of strength ?L can give rise to three transition temperatures for suitable ?. The system passes through ferromagnetic, paramagnetic, anti-ferromagnetic and paramagnetic phases respectively as the temperature is increased. For the square lattice on the other hand, multiple… 
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