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arXiv · 1206.4492

The 1/m expansion in spin glasses and the de Almeida-Thouless line

M. A. Moore
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Abstract

It is shown by means of a 1/m expansion about the large-m limit of the m-vector spin glass that the lower critical dimension of the de Almeida-Thouless line in spin glasses is equal to the lower critical dimension of the large-m limit of the m-vector spin glass. Numerical studies suggest that this is close to six.

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M. A. Moore. 2012-06-20. The 1/m expansion in spin glasses and the de Almeida-Thouless line. https://doi.org/10.1103/physreve.86.031114

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