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Springer proceedings in physics

Advances in the Investigation of the Minus Sign Problem for the Fermionic Case

Hans‐Georg Matuttis, N. Ito

Published Jan 1, 2002• 1 citation
Publisher
DOI
10.1007/978-3-642-59406-9_25

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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.