Meron-cluster solution of fermion sign problems

Journal Article

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. 1999 © The American Physical Society.

Full Text

Duke Authors

Cited Authors

  • Chandrasekharan, S; Wiese, UJ

Published Date

  • January 1, 1999

Published In

Volume / Issue

  • 83 / 15

Start / End Page

  • 3116 - 3119

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/PhysRevLett.83.3116

Citation Source

  • Scopus