Nanoscale Phase Separation and Colossal Magnetoresistance

1. Why Manganites Are Interesting.- 2. The Discovery of Manganites and the Colossal Magnetoresistance Effect.- 3. Phase Diagrams and Basic Properties of Manganites.- 4. Preliminary Theoretical Considerations: Coulombic and Jahn Teller Effects.- 5. Models for Manganites.- 6. The One-Orbital Model: Phase Diagram and Dominant Correlations.- 7. Monte Carlo Simulations and Application to Manganite Models.- 8. Mean-Field Approximation.- 9. Two-Orbitals Model and Orbital Order.- 10. Charge Ordering: CE-States, Stripes, and Bi-Stripes.- 11. Inhomogeneities in Manganites: The Case of La1?xCaxMnO3.- 12. Optical Conductivity.- 13. Glassy Behavior and Time-Dependent Phenomena.- 14. Inhomogeneities in La1?xSrxMnO3 and Pr1?xCaxMnO3.- 15. Inhomogeneities in Layered Manganites.- 16. An Elementary Introduction to Percolation.- 17. Competition of Phases as the Origin of the CMR.- 18. Pseudogaps and Photoemission Experiments.- 19. Charge-Ordered Nanoclusters above TC: the Smoking Gun of Phase Separation?.- 20. Other Compounds with Large MR and/or Competing FM AF Phases.- 21. Brief Introduction to Giant Magnetoresistance (GMR).- 22. Discussion and Open Questions.- References.