Analytical and numerical treatment of the Mott-Hubbard insulator in infinite dimensions

M. Eastwood, F. Gebhard (), E. Kalinowski, S. Nishimoto and R. Noack

The European Physical Journal B: Condensed Matter and Complex Systems, 2003, vol. 35, issue 2, 155-175

Abstract: We calculate the density of states in the half-filled Hubbard model on a Bethe lattice with infinite connectivity. Based on our analytical results to second order in t/U, we propose a new ‘Fixed-Energy Exact Diagonalization’ scheme for the numerical study of the Dynamical Mean-Field Theory. Corroborated by results from the Random Dispersion Approximation, we find that the gap opens at $U_{\rm c}=4.43 \pm 0.05$ . Moreover, the density of states near the gap increases algebraically as a function of frequency with an exponent $\alpha=1/2$ in the insulating phase. We critically examine other analytical and numerical approaches and specify their merits and limitations when applied to the Mott-Hubbard insulator. Copyright Springer-Verlag Berlin/Heidelberg 2003

Date: 2003
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DOI: 10.1140/epjb/e2003-00266-4

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