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

Tetsuhiko Chikyu | Zendy; M. Suzuki | Zendy

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

Author(s) -

Tetsuhiko Chikyu,

M. Suzuki

Publication year - 1989

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.81.927

Subject(s) - toeplitz matrix , ising model , physics , statistical physics , correlation , lattice (music) , square lattice ising model , spin (aerodynamics) , mathematical physics , mathematics , pure mathematics , thermodynamics , geometry , acoustics

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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