Cluster algorithms for anisotropic quantum spin models

被引:21
作者
Kawashima, N
机构
[1] LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545
[2] UNIV TOKYO,DEPT PHYS,BUNKYO KU,TOKYO 113,JAPAN
关键词
quantum Monte Carlo; cluster algorithm; YZ model; Heisenberg model; XY model;
D O I
10.1007/BF02189228
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present cluster Monte Carlo algorithms for the XYZ quantum spin models. In the special case of S=1/2, the new algorithm can be viewed as a cluster algorithm for the 8-vertex model. As an example, we study the S = 1/2 XY model in two dimensions with a representation in which the quantization axis lies in the easy plane. We find that the numerical autocorrelation time for the cluster algorithm remains of the order of unity and does not show any significant dependence on the temperature, the system size, or the Trotter number. On the other hand, the autocorrelation time for the conventional algorithm strongly depends on these parameters and can be very large. The use of improved estimators for thermodynamic averages further enhances the efficiency of the new algorithms.
引用
收藏
页码:131 / 153
页数:23
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