Minus Sign Problem in the Monte Carlo Simulation of Lattice Fermion Systems

Nobuo Furukawa, Masatoshi Imada

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

The minus sign problem, as a problem of the non-positive-definite measure of the path integrals, is examined in the Monte Carlo simulation of the Hubbard model. A new correction method in terms of the ratio of two measured quantities is proposed to calculate physical properties. The momentum distribution and the spin correlation as well as the energy in the ground state are tested against the exactly diagonalized results. The results show that this ratio correction method is a promising prescription to reduce the minus sign problem.

Original languageEnglish
Pages (from-to)810-824
Number of pages15
JournalJournal of the Physical Society of Japan
Volume60
Issue number3
DOIs
Publication statusPublished - 1991 Jan 1
Externally publishedYes

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fermions
simulation
physical properties
momentum
ground state
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Minus Sign Problem in the Monte Carlo Simulation of Lattice Fermion Systems. / Furukawa, Nobuo; Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 60, No. 3, 01.01.1991, p. 810-824.

Research output: Contribution to journalArticle

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