Strict Inequality for Critical Percolation Values in Frustrated Random-Cluster Models

M. Campanino

1998, v.4, Issue 3, 395-410


We establish an inequality between the critical percolation value of frustrated random-cluster models and that of an unfrustrated model where the free occupation probabilities of some bonds are strictly decreased. Using the FK representation this gives an inequality between the critical temperatures of the corresponding spin models. In this waywe can prove a strict inequality between critical temperatures for symmetry breaking of some frustrated Ising models and the corresponding ferromagnetic models including disordered systems such as the Edwards - Anderson model.

Keywords: random-cluster models,FK representation


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