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The Yang-Lee edge singularity in spherical models (1978)

Kurtze, Douglas A. ; Fisher, Michael E.

Springer

Journal of statistical physics 19 (1978), S. 205-218

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ISSN: 1572-9613

Keywords: Yang-Lee zeros ; spherical models ; complex magnetic field ; ferromagnets ; critical point singularities ; critical exponents

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01011723

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