Transfer-Matrix Study of Hard-Core Singularity for Hard-Square Lattice Gas

1997/03/19 by Synge Todo, Todo, Synge · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.cond-mat/9703176

openalex publication_date 1997/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A singularity on the negative fugacity axis of the hard-square lattice gas is investigated in terms of numerical diagonalization of transfer matrices. The location of the singular point z_c^- and the critical exponent ν are accurately determined by the phenomenological renormalization technique as -0.11933888188(1) and 0.416667(1), respectively. It is also found that the central charge c and the dominant scaling dimension x_σ are -4.399996(8) and -0.3999996(7), respectively. These results strongly support that this singularity belongs to the same universality class as the Yang-Lee edge singularity (c=-22/5, x_σ=-2/5 and ν=5/12).

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