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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 ns=64 levels in the bath. We refine our results in [1] which were limited to ns=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.