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Progress of Theoretical Physics

A General Method to Evaluate Correlation Functions of Two-Dimensional Non-Uniform Ising Models

Tetsuhiko Chikyu, Masuo Suzuki

Published May 1, 1989• 1 citation
Publisher

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.

DOI
10.1143/ptp.81.927

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