Finite-lattice extrapolations for Z3 and Zs models
Finite-lattice extrapolations for Z3 and Zs models
复制标题
Z3 和 Zs 模型的有限格外推
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
M. N. Barber
中科院分区：
文献类型：
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作者：
C. Hamer;M. N. Barber
提出了一种加速有限格序列收敛到其体极限的方法。然后可以对整体系统的关键参数进行高精度估计。应用于 (1+1) 维度的 Z3 模型（三态 Potts 模型）的哈密顿版本，这些技术产生指数 gamma =1.444+or-0.0001、nu =0.8333+or-0.0003 和 alpha =0.33+or-0.01 的估计值。对于 Z5 模型，证实了 Kosterlitz-Thouless 转变的存在。
A method is presented to accelerate the convergence of finite-lattice sequences to their bulk limit. The calculation of highly accurate estimates of the critical parameters of the bulk system is then possible. Applied to the Hamiltonian version of the Z3 model (three-state Potts model) in (1+1) dimensions, these techniques yield estimates for the exponents gamma =1.444+or-0.0001, nu =0.8333+or-0.0003 and alpha =0.33+or-0.01. For the Z5 model, the presence of a Kosterlitz-Thouless transition is confirmed.