We calculate the zero-temperature gap and quasiparticle weight of the half-filled Hubbard model with a random dispersion relation. After extrapolation to the thermodynamic limit, we obtain reliable bounds on these quantities for the Hubbard model in infinite dimensions. Our data indicate that the Mott-Hubbard transition is continuous; i.e., the quasiparticle weight becomes zero at the same critical interaction strength at which the gap opens.
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Noack et al. (1999) studied this question.
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