A New Look at the 2D Ising Model from Exact Partition Function Zeros for Large Lattice Sizes

Nelson A. Alves (), J. R. Drugowich de Felicio () and Ulrich H. E. Hansmann ()
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Nelson A. Alves: Departamento de Física e Matemática, FFCLRP, Universidade de São Paulo, Av. Bandeirantes 3900, CEP 014040-901 Ribeirão Preto, SP, Brazil
J. R. Drugowich de Felicio: Departamento de Física e Matemática, FFCLRP, Universidade de São Paulo, Av. Bandeirantes 3900, CEP 014040-901 Ribeirão Preto, SP, Brazil
Ulrich H. E. Hansmann: Department of Theoretical Studies, Institute for Molecular Science, Okazaki, Aichi 444, Japan

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 05, 1063-1071

Abstract: A general numerical method is presented to locate the partition function zeros in the complexβplane for large lattice sizes. We apply this method to the 2D Ising model and results are reported for square lattice sizes up toL =64. We also propose an alternative method to evaluate corrections to scaling which relies only on the leading zeros. This method is illustrated with our data.

Keywords: Ising Model; Partition Function Zeros; Finite Size Scaling (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197000928

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