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 |
| Externally published | Yes |
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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
Stable Quantum Monte Carlo Algorithm for T= 0 Calculation of Imaginary Time Green Functions. / Assaad, Fakher F.; Imada, Masatoshi.
In: Journal of the Physical Society of Japan, Vol. 65, No. 1, 01.12.1996, p. 189-194.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stable Quantum Monte Carlo Algorithm for T= 0 Calculation of Imaginary Time Green Functions
AU - Assaad, Fakher F.
AU - Imada, Masatoshi
PY - 1996/12/1
Y1 - 1996/12/1
N2 - 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.
AB - 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.
KW - Hubbard gap
KW - Hubbard model
KW - Quantum Monte Carlo
KW - Zero-temperature Green functions
UR - http://www.scopus.com/inward/record.url?scp=0030530187&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030530187&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0030530187
VL - 65
SP - 189
EP - 194
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 1
ER -