English

A new look at the 2D Ising model from exact partition function zeros for large lattice sizes

Statistical Mechanics 2009-10-30 v1

Abstract

A general numerical method is presented to locate the partition function zeros in the complex beta plane for large lattice sizes. We apply this method to the 2D Ising model and results are reported for square lattice sizes up tp L=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

Cite

@article{arxiv.cond-mat/9707072,
  title  = {A new look at the 2D Ising model from exact partition function zeros for large lattice sizes},
  author = {Nelson A. Alves and J. R. Drugowich de Felicio and Ulrich H. E. Hansmann},
  journal= {arXiv preprint arXiv:cond-mat/9707072},
  year   = {2009}
}

Comments

9 pages, Latex, 3 figures. To appear in Int. J. Mod. Phys. C