Meron-cluster solution of fermion sign problems
Meron-cluster solution of fermion sign problems
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DOI：
10.1103/physrevlett.83.3116
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发表时间：
1999-10-18
影响因子：
8.6
通讯作者：
Wiese, UJ
中科院分区：
文献类型：
--
作者：
Chandrasekharan, S;Wiese, UJ
我们提出了一种使用集群算法解决臭名昭著的费米子符号问题的一般策略。该方法不仅适用于相对论性费米子，而且适用于Hubbard模型族的各种系统。这里以非相对论晶格费米子为例说明了这一点。费米子世界线的配置被分解成独立于费米子置换符号的簇。其翻转改变符号的星团称为梅隆星团。包含Meron团簇的组态对路径积分的贡献为0，而所有其他组态的路径积分贡献为1。团簇表示将配分函数描述为零Meron扇区中的团簇气体。
We present a general strategy to solve the notorious fermion sign problem using cluster algorithms. The method applies to various systems in the Hubbard model family as well as to relativistic fermions. Here it is illustrated for nonrelativistic lattice fermions. A configuration of fermion world lines is decomposed into clusters that contribute independently to the fermion permutation sign. A cluster whose flip changes the sign is referred to as a meron. Configurations containing meron clusters contribute 0 to the path integral, while all other configurations contribute 1. The cluster representation describes the partition function as a gas of clusters in the zero-meron sector.