Stable Quantum Monte Carlo Algorithm for T= 0 Calculation of Imaginary Time Green Functions

Fakher F. Assaad, Masatoshi Imada

研究成果: Article査読

28 被引用数 (Scopus)

抄録

We present a numerically stable Quantum Monte Carlo algorithm to calculate zero-temperature imaginary-time Green functions G(r, τ) for Hubbard type models. We illustrate the efficiency of the algorithm by calculating the on-site Green function G(r = 0, τ) on 4 × 4 to 12 × 12 lattices for the two-dimensional half-filled repulsive Hubbard model at U/t = 4. By fitting the tail of G(r = 0, τ) at long imaginary time to the form e-τΔε, we obtain a precise estimate of 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-insulator transition from the insulator side.

本文言語English
ページ(範囲)189-194
ページ数6
ジャーナルjournal of the physical society of japan
65
1
DOI
出版ステータスPublished - 1996
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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