Theory of Toeplitz Determinants and the Spin Correlations of the Two-Dimensional Ising Model. I

1966 ◽  
Vol 149 (1) ◽  
pp. 380-401 ◽  
Author(s):  
Tai Tsun Wu
Keyword(s):  
Ising Model ◽  
Two Dimensional ◽  
Toeplitz Determinants ◽  
Spin Correlations

Local three-spin correlations in the free-fermion and planar Ising models

1989 ◽  
Vol 423 (1865) ◽  
pp. 279-300 ◽  
Keyword(s):  
Ising Model ◽  
Ising Models ◽  
Square Lattice ◽  
Free Fermion ◽  
Two Dimensional ◽  
Solvable Models ◽  
Spin Correlations ◽  
Fermion Model ◽  
Free Fermion Model

A number of local three-spin correlations are calculated exactly for various related ferromagnetic two-dimensional solvable models in statistical mechanics.They are the square lattice free-fermion model, the equivalent checkerboard Ising model, and the anisotropic triangular, honeycomb and square lattice Ising models. The different results are all applications of a single unifying formula.

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