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

dc.creatorAspelmeier, T.
dc.creatorMoore, M. A.
dc.date2003-10-22
dc.date2004-01-05
dc.date.accessioned2026-07-07T02:54:21Z
dc.date.available2026-07-07T02:54:21Z
dc.descriptionIt 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.
dc.description4 pages (plus a few lines), 3 figures. v2: minor error corrected. v3: numerics supplemented by analytical arguments, references added, figure of density of states added
dc.identifierhttps://arxiv.org/abs/cond-mat/0310531
dc.identifierhttp://arxiv.org/abs/cond-mat/0310531
dc.identifierPhys. Rev. Lett. 92, 077201 (2004)
dc.identifierdoi:10.1103/PhysRevLett.92.077201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22513
dc.subjectStatistical Mechanics
dc.titleGeneralised Bose-Einstein phase transition in large-$m$ component spin glasses
dc.typetext

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