Yang-Lee Edge Behavior in One-Dimensional Systems

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概要

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• The limiting distribution of Yang-Lee zeros in a complex field plane is considered for general one-dimensional classical systems with interactions of finite range. On the basis of a simple assumption, it is shown that behavior near the Yang-Lee edge, the terminus of the zero distribution, is universal, the "protocritical" exponents taking the values σ=-1/2,γ_c=11/2,ν_c=1/2,and η=-1; likewise the scaling function for the pair correlations is universal. The underlying assumption is confirmed in numerical studies of m×∞ spin 1/2 Ising strips (or cylinders) and of n-vector chains for general n. The crossovers occurring when m→∞ and →∞ are considered briefly.

• 理論物理学刊行会の論文
• 1981-06-10

著者

• Fisher Michael

  Baker Laboratory Cornell University

関連論文

• Yang-Lee Edge Behavior in One-Dimensional Systems

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