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Self-dual property of the Potts model in one dimension

F. Y. Wu
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Abstract

A new duality relation is derived for the Potts model in one dimension. It is shown that the partition function is self-dual with the nearest-neighbor interaction and the external field appearing as dual parameters. Zeroes of the partition function are analyzed. Particularly, we show that the new duality relation implies a circle theorem in the complex temperature plane for the one-dimensional Ising model.

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F. Y. Wu. 1998-05-26. Self-dual property of the Potts model in one dimension. https://arxiv.org/abs/cond-mat/9805301

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