Meron-Cluster Solution of Fermion Sign Problems

Details Meron-Cluster Solution of Fermion Sign Problems Meron-Cluster Solution of Fermion Sign Problems

1999-02-10

arxiv.org/abs/cond-mat/9902128v2

Phys.Rev.Lett.83:3116-3119,1999

Physics

Condensed Matter

Statistical Mechanics

4 pages, ReVTeX

Scientific paper

10.1103/PhysRevLett.83.3116

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 non-relativistic 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.

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