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The Yang-Lee edge singularity in spherical models

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Abstract

The density of Yang-Lee zeros in the thermodynamic limit is discussed for ferromagnetic spherical models of general dimensionalities and arbitrary range of interaction. In all cases the zeros lie on the imaginary axis in the complex magnetic field planeH=H′+iH″ with a densityℊ (H″) that exhibits a square root singularityℊ(H″) ∼(H″-H 0)σ, withσ=1/2, as the edge of the gap atH″=H 0(T) is approached forT>T c. WhenT→T c one hasH 0(T)∼(T∼T c )Δ with critical exponentΔ=β+γ.

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Authors and Affiliations

  1. Baker Laboratory, Cornell University, 14853, Ithaca, New York

    Douglas A. Kurtze & Michael E. Fisher

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  1. Douglas A. Kurtze
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  2. Michael E. Fisher
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Supported by the National Science Foundation in part through the Materials Science Center at Cornell University.

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Kurtze, D.A., Fisher, M.E. The Yang-Lee edge singularity in spherical models. J Stat Phys 19, 205–218 (1978). https://doi.org/10.1007/BF01011723

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  • DOI: https://doi.org/10.1007/BF01011723

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