Yang-Lee zeros of the one-dimensional Q-state Potts model

Details Yang-Lee zeros of the one-dimensional Q-state Potts model Yang-Lee zeros of the one-dimensional Q-state Potts model

2003-05-20

arxiv.org/abs/cond-mat/0305456v1

Journal of the Korean Physical Society 44 (2004) 495-500

Physics

Condensed Matter

Statistical Mechanics

15 pages, 4 figures

Scientific paper

The distributions of the Yang-Lee zeros of the ferromagnetic and antiferromagnetic Q-state Potts models in one dimension are studied for arbitrary Q and temperature. The Yang-Lee zeros of the Potts antiferromagnet have been fully investigated for the first time. The distributions of the Yang-Lee zeros show a variety of different shapes. Some of the Yang-Lee zeros lie on the positive real axis even for T>0. For the ferromagnetic model this happens only for Q<1, while there exist some zeros of the antiferromagnetic model on the positive real axis both for Q<1 and for Q>1.

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