2001•Journal of the Physical Society of JapanRequires access

Some Findings on the Minus-Sign Problem for the Hubbard Model in the Projector Quantum Monte Carlo Method

Hans‐Georg Matuttis, Nobuyasu Ito

Abstract

The quantum Monte Carlo method for the Hubbard model using the Hubbard-Stratonovich transformation is reexamined. It is observed that the value of the ground state energy for a 3×2 and 4×4 system is estimated correctly by ignoring the minus-sign of the negative sampling weight appearing in the simulation using the projector method. It is also observed that the average of sign is positive and the correlation between the energy and the sign is weak for these systems. The reasons why the ground state energy is estimated correctly is given on a phenomenological base.

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Key concepts: Projector, Hubbard model, Sign (mathematics), Quantum Monte Carlo, Ground state, Monte Carlo method, Physics, Unitary transformation