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arXiv · 1401.7894

The Peierls argument for higher dimensional Ising models

Claudio Bonati
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Abstract

The Peierls argument is a mathematically rigorous and intuitive method to show the presence of a non-vanishing spontaneous magnetization in some lattice models. This argument is typically explained for the $D=2$ Ising model in a way which cannot be easily generalized to higher dimension. The aim of this paper is to present an elementary discussion of the Peierls argument for the general $D$-dimensional Ising model.

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Claudio Bonati. 2014-03-10. The Peierls argument for higher dimensional Ising models. https://doi.org/10.1088/0143-0807%2F35%2F3%2F035002

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