2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24977Colossal magneto-resistance manganites are characterised by a complex interplay of charge, spin, orbital and lattice degrees of freedom. Formulating microscopic models for these compounds aims at meeting to conflicting objectives: sufficient simplification without excessive restrictions on the phase space. We give a detailed introduction to the electronic structure of manganites and derive a microscopic model for their low energy physics. Focussing on short range electron-lattice and spin-orbital correlations we supplement the modelling with numerical simulations.20 pages, 10 figs, accepted for publ. in New J. Phys., Focus issue on Orbital PhysicsStrongly Correlated Electronstext