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

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

2003-10-22

arxiv.org/abs/cond-mat/0310531v3

Phys. Rev. Lett. 92, 077201 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages (plus a few lines), 3 figures. v2: minor error corrected. v3: numerics supplemented by analytical arguments, reference

Scientific paper

10.1103/PhysRevLett.92.077201

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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