Regensburg 2004 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 24: Postersitzung III: Korrelierte Elektronen, ”Orbital Physics”

TT 24.18: Poster

Mittwoch, 10. März 2004, 14:30–19:00, Poster A

Analytical and numerical treatment of the Mott–Hubbard insulator in infinite dimensions — •Satoshi Nishimoto¹, Satoshi Ejima¹, Florian Gebhard¹, Eva Kalinowski¹, Reinhard M. Noack¹, and Eric Jeckelmann² — ¹Fachbereich Physik, Philipps-Universität Marburg, 35032 Marburg — ²Institut für Physik, Johannes-Gutenberg Universität Mainz, 55099 Mainz

The half-filled Hubbard model on a Bethe-lattice with infinite coordination number describes a Mott-Hubbard insulator above a critical interaction strength. We extend our previous study [1] by using the Dynamical Density-Matrix Renormalization Group method (DDMRG) [2,3] to solve the Dynamical Mean-Field equations. To this end, we analyze a single-impurity Anderson model with up to n_s=64 levels in the bath. We refine our results in [1] which were limited to n_s=14 in exact diagonalization. Furthermore, we extend our analytical results on the ground-state energy of the Mott-Hubbard insulator, to ninth-order in the inverse coupling strength.

[1] M.P. Eastwood, F. Gebhard, E. Kalinowski, S. Nishimoto, and R.M. Noack, Eur. Phys. J. B 35, 155 (2003).

[2] E. Jeckelmann, Phys. Rev. B 66, 045114 (2002).

[3] F. Gebhard, E. Jeckelmann, S. Mahlert, S. Nishimoto, and R.M. Noack, cond-mat/0306438.