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

Abstract

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.

arXiv comment12 pages, 6 figures, minor modifications, final version published in Phys. Rev. B

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Cited by in corpus (5)

• Generalized Moment Method for Gap Estimation and Quantum Monte Carlo Level Spectroscopy
• Efficient Monte Carlo algorithm in quasi-one-dimensional Ising spin systems
• Improved chain mean-field theory for quasi-one-dimensional quantum magnets
• Stochastic parameter optimization analysis of dynamical quantum critical phenomena in long-range transverse-field Ising chain
• Wang-Landau simulation for the quasi-one-dimensional Ising model