Abstract
An extension or modification of the usual Bethe lattice is used to approximate one-dimensional Ising models with long-range pair interactions of the form Σ ( J/ m Θ)σ i σ i+ m . In particular an expression is obtained which allows one to one to obtain the critical temperature, T c, as a function of Θ, in the approximation. Our results are compared to a number of other T c approximations.
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