A q-state frustrated Potts model is introduced which generalizes the Kasteleyn-Fortuin formalism to frustrated systems. For q = 2 the Ising spin is recovered. For q = 1 it gives the frustrated percolation model, which combines frustration and connectivity features and might be relevant to...

The percolation properties of suitably defined clusters of parallel spins have been studied for two two-dimensional models with frustration: the Ising spin glass and the fully frustrated Ising model. The critical temperatures and some exponents have been estimated by using standard Monte Carlo...