Universal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model

dc.creatorTodo, Synge
dc.date2006-06-30
dc.date2006-09-29
dc.date.accessioned2026-07-07T07:12:58Z
dc.date.available2026-07-07T07:12:58Z
dc.descriptionCritical temperature of quasi-one-dimensional general-spin Ising ferromagnets is investigated by means of the cluster Monte Carlo method performed on infinite-length strips, L times infty or L times L times infty. We find that in the weak interchain coupling regime the critical temperature as a function of the interchain coupling is well-described by a chain mean-field formula with a reduced effective coordination number, as the quantum Heisenberg antiferromagnets recently reported by Yasuda et al. [Phys. Rev. Lett. 94, 217201 (2005)]. It is also confirmed that the effective coordination number is independent of the spin size. We show that in the weak interchain coupling limit the effective coordination number is, irrespective of the spin size, rigorously given by the quantum critical point of a spin-1/2 transverse-field Ising model.
dc.description12 pages, 6 figures, minor modifications, final version published in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0606790
dc.identifierhttp://arxiv.org/abs/cond-mat/0606790
dc.identifierPhys. Rev. B 74, 104415 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.104415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112269
dc.subjectStatistical Mechanics
dc.titleUniversal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model
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