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Generalised Bose-Einstein phase transition in large-$m$ component spin glasses

T. Aspelmeier·M. A. Moore
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Abstract

It is proposed to understand finite dimensional spin glasses using a $1/m$ expansion, where $m$ is the number of spin components. It is shown that this approach predicts a replica symmetric state in finite dimensions. The point about which the expansion is made, the infinite-$m$ limit, has been studied in the mean-field limit in detail and has a very unusual phase transition, rather similar to a Bose-Einstein phase transition but with $N^{2/5}$ macroscopically occupied low-lying states.

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BibTeXRIS

T. Aspelmeier, M. A. Moore. 2004-01-05. Generalised Bose-Einstein phase transition in large-$m$ component spin glasses. https://doi.org/10.1103/physrevlett.92.077201

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