量子自旋系统的块自旋方案及其簇团Monte Carlo模拟方法  

BLOCKSPIN SCHEME AND THE CLUSTER-UPDATING ALGO-RITHMS FOR THE QUANTUM SPIN SYSTEMS

作　　者：应和平[1] U.J.Wiese 

机构地区：[1]浙江近代物理中心,浙江大学物理系杭州310027 [2]Institute for Theoretical Physics,University of Bern,(H-3012 Bern,Switzerland

出　　处：《物理学报》1993年第4期665-673,共9页Acta Physica Sinica

基　　金：国家自然科学基金

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。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.

关 键 词：量子自旋系统 自旋 蒙特卡罗模拟 

分 类 号：O511.1[理学—低温物理]