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• W3104795411 startingPage "131" @default.
• W3104795411 abstract "The diagonal spin–spin correlations of the Ising model on a triangular lattice with general couplings in the three directions are evaluated in terms of a solution to a three-variable extension of the sixth Painlevé system, namely a Garnier system. This identification, which is accomplished using the theory of bi-orthogonal polynomials on the unit circle with regular semi-classical weights, has an additional consequence whereby the correlations are characterised by a simple system of coupled, nonlinear recurrence relations in the spin separation . The later recurrence relations are an example of discrete Garnier equations which, in turn, are extensions to a 'discrete Painlevé V' system." @default.
• W3104795411 created "2020-11-23" @default.
• W3104795411 creator A5088657496 @default.
• W3104795411 date "2016-01-01" @default.
• W3104795411 modified "2023-10-18" @default.
• W3104795411 title "The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems" @default.
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• W3104795411 doi "https://doi.org/10.1088/0951-7715/29/1/131" @default.
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