A new approach for perovskites in large dimensions

@article{Schmalian1996ANA,
  title={A new approach for perovskites in large dimensions},
  author={J{\"o}rg Schmalian and Pierre Lombardo and M. Avignon and K. H. Bennemann},
  journal={Physica B-condensed Matter},
  year={1996},
  volume={223},
  pages={602-604}
}
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… 
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