Abstract

Recent progress in the numerical study of various strongly correlated electronicsystems is reviewed. The study of transport in single molecule conductors andquantum dots is addressed with a recently proposed adaptive time-dependentdensity-matrix-renormalization group (DMRG). Experiments involving non-local spincontrol and their numerical simulation are also discussed. A section is devoted to recentefforts in the study of spin-fermion models for colossal magnetoresistive manganites,where we present insights on the effect of disorder and electron–phonon coupling.Finally, using a dynamical mean field approach, we review calculations in thearea of diluted magnetic semiconductors that provides guidelines on how theCurie temperature could be increased in these itinerant ferromagnetic systems.

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