Abstract
A general analytic method to evaluate the asymptotic behavior of two·spin correlation functions of two·dimensional (2D) non-uniform but regular Ising models is constructed explicitly by studying slightly modified Toeplitz determinants with use of Jacobi's idea and the Wiener-Hopf summation technique. An application of it to the evaluation of 4-coordinated-spin correlation functions for the two-dimensional Ising model on the Union Jack lattice is also given.
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