Exact and numerical results for the dimerized spin-orbital model

dc.creatorMartins, M. J.
dc.creatorNienhuis, B.
dc.date2000-04-14
dc.date.accessioned2026-07-07T02:37:21Z
dc.date.available2026-07-07T02:37:21Z
dc.descriptionWe establish exact results for the one-dimensional spin-orbital model for special values of the four-spin interaction $V$ and dimerization parameter $δ$. The first exact result is at $δ=1/2$ and $V=-2$. Because we find a very small but finite gap in this dimerized chain, this can serve as a very strong test case for numerical and approximate analytical techniques. The second result is for the homogeneous chain with $V=-4$ and gives evidence that the system has a spontaneously dimerized ground state. Numerical results indicate that the interplay between dimerization and interaction could result in gapless phases in the regime $0\leq V<-2$.
dc.description11 pages, latex, one figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0004238
dc.identifierhttp://arxiv.org/abs/cond-mat/0004238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16260
dc.subjectStatistical Mechanics
dc.titleExact and numerical results for the dimerized spin-orbital model
dc.typetext

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