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

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

2006-06-30

arxiv.org/abs/cond-mat/0606790v3

Phys. Rev. B 74, 104415 (2006)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 6 figures, minor modifications, final version published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.74.104415

Critical 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.

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