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We use quantum Monte Carlo methods to determine T0ex{0ex}=0ex{0ex}0 Green functions, G (r, ), on lattices up to 1616 for the 2D Hubbard model at U/t0ex{0ex}=0ex{0ex}4. For chemical potentials within the Hubbard gap ||<₂ and at long distances r, G (r, 0ex{0ex}=0ex{0ex}) e^-|{r|/₋} with critical behavior ₋|-₂|^-, 0ex{0ex}=0ex{0ex}0. 260. 05. This result stands in agreement with the assumption of hyperscaling with correlation exponent 0ex{0ex}=0ex{0ex}1/4 and dynamical exponent z0ex{0ex}=0ex{0ex}4. In contrast, the generic band insulator as well as the metal-insulator transition in the 1D Hubbard model are characterized by 0ex{0ex}=0ex{0ex}1/2 and z0ex{0ex}=0ex{0ex}2.
Assaad et al. (Mon,) studied this question.