Distribution of Yang-Lee Zeros of the ±J Ising Model

Yukiyasu Ozeki; Hidetoshi Nishimori

doi:10.1143/JPSJ.57.1087

Distribution of Yang-Lee Zeros of the ±J Ising Model

Yukiyasu Ozeki, Hidetoshi Nishimori

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

A numerical technique to find out the distribution of the zeros of the partition function in the complex field plane is presented for the Ising model with arbitrary nearest-neighbor interactions. We apply it to the symmetric ±J model in two and three dimensions and obtain the distribution of the zeros of the effective partition function whose zeros in the complex field plane determine the analytical properties of the configuration-averaged free energy. Making use of the results, we discuss some problems of the short-range spin glass model including the existence of the Griffiths singularity and the AT line.

Original language	English
Pages (from-to)	1087-1093
Number of pages	7
Journal	journal of the physical society of japan
Volume	57
Issue number	3
DOIs	https://doi.org/10.1143/JPSJ.57.1087
Publication status	Published - 1988 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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AB - A numerical technique to find out the distribution of the zeros of the partition function in the complex field plane is presented for the Ising model with arbitrary nearest-neighbor interactions. We apply it to the symmetric ±J model in two and three dimensions and obtain the distribution of the zeros of the effective partition function whose zeros in the complex field plane determine the analytical properties of the configuration-averaged free energy. Making use of the results, we discuss some problems of the short-range spin glass model including the existence of the Griffiths singularity and the AT line.

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