Abstract
We devise a variational approach to the metal-insulator transition (MIT) that combines the Mott and Hubbard aspects of localization. Starting from the Gutzwiller approach, we optimize the ground-state energy not only with respect to the double occupancy \ensuremath{\eta}, but also with respect to the single-particle wave functions, which enter the energy via expressions for the Coulomb interaction U and for the bare bandwidth W. In effect, we obtain a theory of the MIT without resorting to a parametrization in terms of U/W. The effective mass close to the MIT is strongly enhanced even when the transition is discontinuous.
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