Stable Quantum Monte Carlo Algorithm for T =0 Calculation of Imaginary Time Green Functions
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概要
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We present a numerically stable Quantum Monte Carlo algorithm tocalculate zero-temperature imaginary-time Green functions G(r, τ) for Hubbard type models.We illustrate the efficiency of the algorithm by calculatingthe on-site Green function G(r=0, τ) on 4 ×4 to 12 ×12 latticesfor the two-dimensional half-filled repulsiveHubbard model at U/t = 4. By fitting the tail of G(r=0, τ) at long imaginary timeto the form e-τΔc, we obtain a precise estimateof the charge gap: Δc = 0.67 ±0.02 in units of the hopping matrix element. We argue that the algorithm provides a powerful tool to study the metal-insulatortransition from the insulator side.
- Physical Society of Japanの論文
- 1996-01-15