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摘要: 本文提出了一种关于一维和二维量子自旋系统的Monte Carlo模拟新算法。具体给出了对于一维和二维Heisenberg模型的计算方案。在s=1/2的铁磁和反铁磁链情况下的计算结果证实了此方法有效地克服了“临界慢化(CSD)”效应和能够达到更低的温度区域进行计算。该方法可推广到各向异性和高自旋(s=1,3/2,…)量子系统、二维经典8-顶角格点模型和低维费密系统。
Abstract: In this paper, we proposed a blockspin scheme and developed the usual cluster-updating algorithms for the one-and two-dimensional quantum spin systems, saying s=1/2 isotropic Hei-senberg models. The results for he ferro-and antiferro-magnet chains showed that the criti-cal slowing down (CSD) was indeed eliminated, and so it offered a possibility to improve the estimations in the lower-temperature region. We expect that the algorithms could also be ap-plied to the anisotropic or/and the higher-spin cases, as will as some other interesting models, such as eight-vortex lattice model and low-dimensional Fermi-systems.