TY - JOUR
T1 - Insulator-metal transition in the one- and two-dimensional hubbard models
AU - Assaad, F. F.
AU - Imada, M.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
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
AN - SCOPUS:0011711069
VL - 76
SP - 3176
EP - 3179
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 17
ER -