Cuprates, Manganites, and Cobaltites: Multielectron Approach to the Band   Structure
  High-$T_c$ superconductors with CuO$_2$ layers, manganites La$_{1-x}$Sr$_x$MnO$_3$, and cobaltites LaCoO$_3$ present several mysteries in their physical properties. Most of them are believed to come from the strongly-correlated nature of these materials. From the theoretical viewpoint, there are many hidden rocks in making the consistent description of the band structure and low-energy physics starting from the Fermi-liquid approach. Here we discuss the alternative method -- multielectron approach to the electronic structure calculations for the Mott insulators -- called LDA+GTB (local density approximation + generalized tight-binding) method. Its origin is a straightforward generalization of the Hubbard perturbation theory in the atomic limit and the multiband $p-d$ Hamiltonian with the parameters calculated within LDA. We briefly discuss the method and focus on its applications to cuprates, manganites, and cobaltites. 
M. M. Korshunov, S. G. Ovchinnikov, E. I. Shneyder, V. A. Gavrichkov,   Yu. S. Orlov, I. A. Nekrasov, Z. V. Pchelkina
cond-mat.str-el cond-mat.supr-con