Abstract
We develop a new lattice model involving Ising spins on links with next-neighbor couplings which contains a parameter ξ that interpolates between the standard Ising model ( ξ=1) and an ensemble of self-avoiding random loops ( ξ=0). This model is studied by Monte Carlo techniques. We calculate the average length and its variance as a function of temperature. The reliability of our results is checked at several steps by comparison with the exactly known Ising case on finite lattices.
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