Abstract
We use quantum Monte Carlo methods to determine T = 0 Green functions, G(r→, ω) on lattices up to 16 × 16 for the 2D Hubbard model at U/T = 4. For chemical potentials μ within the Hubbard gap |μ| < μcand at long distances r→, G(r→ ω = μ) ∼e−|r→|/ξl with critical behavior ξl ∼ |μ − μc|−ν ν = 0.026 ±0.05 This result stands in agreement with the assumption of hyperscaling with correlation exponent ν = 1/4 and dynamical exponent z = 4. In contrast, the generic band insulator as well as the metal-insulator transition in the 1D Hubbard model are characterized by ν = 1/2 and z = 2.
| Original language | English |
|---|---|
| Pages (from-to) | 3176-3179 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 76 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 1996 Apr 22 |
| Externally published | Yes |
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Cite this
Insulator-metal transition in the one- and two-dimensional hubbard models. / Assaad, F. F.; Imada, Masatoshi.
In: Physical Review Letters, Vol. 76, No. 17, 22.04.1996, p. 3176-3179.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Insulator-metal transition in the one- and two-dimensional hubbard models
AU - Assaad, F. F.
AU - Imada, Masatoshi
PY - 1996/4/22
Y1 - 1996/4/22
N2 - We use quantum Monte Carlo methods to determine T = 0 Green functions, G(r→, ω) on lattices up to 16 × 16 for the 2D Hubbard model at U/T = 4. For chemical potentials μ within the Hubbard gap |μ| < μcand at long distances r→, G(r→ ω = μ) ∼e−|r→|/ξl with critical behavior ξl ∼ |μ − μc|−ν ν = 0.026 ±0.05 This result stands in agreement with the assumption of hyperscaling with correlation exponent ν = 1/4 and dynamical exponent z = 4. In contrast, the generic band insulator as well as the metal-insulator transition in the 1D Hubbard model are characterized by ν = 1/2 and z = 2.
AB - We use quantum Monte Carlo methods to determine T = 0 Green functions, G(r→, ω) on lattices up to 16 × 16 for the 2D Hubbard model at U/T = 4. For chemical potentials μ within the Hubbard gap |μ| < μcand at long distances r→, G(r→ ω = μ) ∼e−|r→|/ξl with critical behavior ξl ∼ |μ − μc|−ν ν = 0.026 ±0.05 This result stands in agreement with the assumption of hyperscaling with correlation exponent ν = 1/4 and dynamical exponent z = 4. In contrast, the generic band insulator as well as the metal-insulator transition in the 1D Hubbard model are characterized by ν = 1/2 and z = 2.
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U2 - 10.1103/PhysRevLett.76.3176
DO - 10.1103/PhysRevLett.76.3176
M3 - Article
VL - 76
SP - 3176
EP - 3179
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 17
ER -