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

Author

Listed:
  • M. Eastwood
  • F. Gebhard
  • E. Kalinowski
  • S. Nishimoto
  • R. Noack

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

Suggested Citation

  • M. Eastwood & F. Gebhard & E. Kalinowski & S. Nishimoto & R. Noack, 2003. "Analytical and numerical treatment of the Mott-Hubbard insulator in infinite dimensions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 35(2), pages 155-175, September.
    • Handle: RePEc:spr:eurphb:v:35:y:2003:i:2:p:155-175
    DOI: 10.1140/epjb/e2003-00266-4
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