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A tight binding parametrization of local spin density functional band theory is combined with a dynamical mean field treatment of correlations to obtain a theory of the magnetic transition temperature, optical conductivity and T=0 spinwave stiffness of a minimal model for the pseudocubic metallic $CMR$ manganites such a $La_{1-X}Sr_{x}MnO_{3}$. The results indicate that previous estimates of $T_{c}$ obtained by one of us (Phys. Rev. textbf{B61} 10738-49 (2000)) are in error, that in fact the materials are characterized by Hunds coupling $Japprox 1.5eV$, and that magnetic-order driven changes in the kinetic energy may not be the cause of the observed colossal magnetoresistive and multiphase behavior in the manganites, raising questions about our present understanding of these materials.
The gigantic reduction of the electric resistivity under the applied magnetic field, CMR effect, is now widely accepted to appear in the vicinity of the insulator to metal transition of the perovskite manganites. Recently, we have discovered the firs
We address the nature of the Mott transition in the Hubbard model at half-filling using cluster Dynamical Mean Field Theory (DMFT). We compare cluster DMFT results with those of single site DMFT. We show that inclusion of the short range correlations
The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular, the combin
We investigate the periodic Anderson model with $bm{k}$-dependent $c$-$f$ mixing reproducing the point nodes of the hybridization gap by using the dynamical mean-field theory combined with the exact diagonalization method. At low temperature below a
We present the first dynamical implementation of the combined GW and dynamical mean field scheme (GW+DMFT) for first principles calculations of the electronic properties of correlated materials. The application to the ternary transition metal oxide S