Meron-Cluster Solution of Fermion Sign Problems

Journal Article · Fri Oct 01 04:00:00 EDT 1999 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.83.3116· OSTI ID:686908

Chandrasekharan, S ^[1]; Wiese, U ^[2]

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1. Department of Physics, Duke University, Box 90305, Durham, North Carolina 27708 (United States)
2. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

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. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 686908
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 16 Vol. 83; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGORITHMS
FERMIONS
FEYNMAN PATH INTEGRAL
MERONS
NUMERICAL ANALYSIS
NUMERICAL SOLUTION
PARTITION FUNCTIONS