Density of states near the Mott-Hubbard transition in the limit of large dimensions
Abstract
The zero temperature Mott-Hubbard transition as a function of the Coulomb repulsion U is investigated in the limit of large dimensions. The behavior of the density of states near the transition at U=Uc is analyzed in all orders of the skeleton expansion. It is shown that only two transition scenarios are consistent with the skeleton expansion for U<Uc: (i) The Mott-Hubbard transition is "discontinuous" in the sense that in the density of states finite spectral weight is redistributed at Uc. (ii) The transition occurs via a point at U=Uc where the system is neither a Fermi liquid nor an insulator.
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