A new approach for perovskites in large dimensions
Abstract
Using the Hubbard Hamiltonian for transition metal-3d and oxygen-2p states with perovskite geometry, we propose a new scaling procedure for a nontrivial extension of these systems to large spatial dimensions D. The scaling procedure is based on a selective treatment of different hopping processes for large D and cannot be generated by a unique scaling of the hopping element. The model is solved in the limit D → ∞ by the iterated perturbation theory and using an extended non-crossing approximation. We discuss the evolution of quasiparticles at the Fermi-level upon doping, leading to interesting insight into the dynamical character of the charge carriers near the metal insulator instability of transition metal oxide systems, three-dimensional perovskites and other strongly correlated transition metal oxides.
- Publication:
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Physica B Condensed Matter
- Pub Date:
- February 1996
- DOI:
- 10.1016/0921-4526(96)00185-8
- arXiv:
- arXiv:cond-mat/9510003
- Bibcode:
- 1996PhyB..223..602S
- Keywords:
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- Condensed Matter
- E-Print:
- 5 pages (TeX) with 2 figures (Postscript)