Orbital ordering in transition-metal compounds: I. The 120-degree model

dc.creatorBiskup, Marek
dc.creatorChayes, Lincoln
dc.creatorNussinov, Zohar
dc.date2003-09-30
dc.date2004-07-16
dc.date.accessioned2026-07-07T02:53:52Z
dc.date.available2026-07-07T02:53:52Z
dc.descriptionWe study the classical version of the 120-degree model. This is an attractive nearest-neighbor system in three dimensions with XY (rotor) spins and interaction such that only a particular projection of the spins gets coupled in each coordinate direction. Although the Hamiltonian has only discrete symmetries, it turns out that every constant field is a ground state. Employing a combination of spin-wave and contour arguments we establish the existence of long-range order at low temperatures. This suggests a mechanism for a type of ordering in certain models of transition-metal compounds where the very existence of long-range order has heretofore been a matter of some controversy.
dc.description40 pages, 1 eps fig; a revised version correcting a bunch of small errors
dc.identifierhttps://arxiv.org/abs/cond-mat/0309691
dc.identifierhttp://arxiv.org/abs/cond-mat/0309691
dc.identifierCommun. Math. Phys. 255 (2005), no. 2, 253-292
dc.identifierdoi:10.1007/s00220-004-1272-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22331
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleOrbital ordering in transition-metal compounds: I. The 120-degree model
dc.typetext

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