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• W1985301742 endingPage "1093" @default.
• W1985301742 startingPage "1088" @default.
• W1985301742 abstract "The circle theorem of Lee and Yang is proved for Ising ferromagnets of general spin with degeneracy or symmetric potentials φj(−Sj) = φj(Sj); i.e., all the zeros of the partition function Ξ = Tr exp (ΣKijSiSj + βλΣjφj(Sj) + hΣjSj) lie on the unit circle of the complex fugacity plane (z = e−h) for Kij ≥ 0, λ ≥ 0, and for ``nondecreasing functions'' φj(Sj); φj(S) ≥ φj(S − 1) ≥ … ≥ φj(1/2) [or φj(0)], including the proof by Griffiths for the usual Ising model of arbitrary spin. The analyticity of the limiting free energy of such a generalized Ising ferromagnet and the absence of a phase transition are thereby established for all (real) nonzero magnetic field. Griffiths-Kelly-Sherman inequalities on spin correlations and Baker's inequalities on critical exponents are discussed in connection with the above model and also in a more general case." @default.
• W1985301742 created "2016-06-24" @default.
• W1985301742 creator A5079530001 @default.
• W1985301742 date "1973-08-01" @default.
• W1985301742 modified "2023-09-30" @default.
• W1985301742 title "Rigorous results for Ising ferromagnets of general spin with degeneracy or symmetric potentials" @default.
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• W1985301742 doi "https://doi.org/10.1063/1.1666441" @default.
• W1985301742 hasPublicationYear "1973" @default.
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