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

## Author Info

• M. Eastwood
• F. Gebhard

()

• E. Kalinowski
• S. Nishimoto
• R. Noack
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## 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

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File URL: http://hdl.handle.net/10.1140/epjb/e2003-00266-4

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## Bibliographic Info

Article provided by Springer in its journal The European Physical Journal B - Condensed Matter and Complex Systems.

Volume (Year): 35 (2003)
Issue (Month): 2 (September)
Pages: 155-175

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Handle: RePEc:spr:eurphb:v:35:y:2003:i:2:p:155-175

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