Recent developments of world-line Monte Carlo methods

被引:102
作者
Kawashima, N
Harada, K
机构
[1] Tokyo Metropolitan Univ, Dept Phys, Tokyo 1920397, Japan
[2] Kyoto Univ, Dept Appl Anal & Complex Dynam Syst, Kyoto 6068501, Japan
关键词
quantum spin system; Heisenberg model; quantum Monte Carlo; XY model; XXZ model; cluster algorithm; loop algorithm; worm algorithm; directed-loop algorithm; world-line method;
D O I
10.1143/JPSJ.73.1379
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
World-line quantum Monte Carlo methods are reviewed with an emphasis on breakthroughs made in recent years. In particular, three algorithms - the loop algorithm, the worm algorithm, and the directed-loop algorithm - for updating world-line configurations are presented in a unified perspective. Detailed descriptions of the algorithms in specific cases are also given.
引用
收藏
页码:1379 / 1414
页数:36
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