Lee-Yang zeros and the Ising model on the Sierpinski Gasket

Details Lee-Yang zeros and the Ising model on the Sierpinski Gasket Lee-Yang zeros and the Ising model on the Sierpinski Gasket

1999-04-22

arxiv.org/abs/cond-mat/9904325v1

Physics

Condensed Matter

LaTeX, 13 pages, 7 Postscript figures, to be published on Journal of Physics A

Scientific paper

10.1088/0305-4470/32/27/303

We study the distribution of the complex temperature zeros for the partition function of the Ising model on a Sierpinski gasket using an exact recursive relation. Although the zeros arrange on a curve pinching the real axis at T=0 in the thermodynamic limit, their density vanishes asymptotically along the curve approaching the origin. This phenomenon explains the coincidence of the low temperature regime on the Sierpinski gasket and on the linear chain.

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