Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 189-194 |
| Number of pages | 6 |
| Journal | journal of the physical society of japan |
| Volume | 65 |
| Issue number | 1 |
| Publication status | Published - 1996 Dec 1 |
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Keywords
- Hubbard gap
- Hubbard model
- Quantum Monte Carlo
- Zero-temperature Green functions
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Assaad, F. F., & Imada, M. (1996). Stable Quantum Monte Carlo Algorithm for T= 0 Calculation of Imaginary Time Green Functions. journal of the physical society of japan, 65(1), 189-194.