Abstract
An Ising spin system can be expressed as a percolation system, formulated by Kasteleyn and Fortuin (KF), of the spin clusters coupled by interactions effective against the thermal agitation. For the 2D strongly-frustrated Ising spin system, the free energy does not show any criticality at the percolation transition temperature of the explicit singularity in the KF-percolation generating function. By extending it into a frustrated Potts spin system with a general degree of internal freedom, the criticality of KF-percolation expression becomes explicit in the ordinary free energy. The universality class belongs to the ferromagnetic Potts model with the half degree of its Potts spin freedom; this means that the effective spin freedom of the frustrated Ising spin system is unity.
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