Titlebook: Nanoscale Phase Separation and Colossal Magnetoresistance; The Physics of Manga Elbio Dagotto Book 2003 Springer-Verlag Berlin Heidelberg 2

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Preliminary Theoretical Considerations: Coulombic and Jahn Teller Effects,s the double-exchange model, as frequently done in the manganite literature, we will describe the foundations of those models in detail. This includes the analysis of Coulombic interactions among the five .-levels of relevance for manganites, as well as the Jahn Teller distortions that also are very

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The One-Orbital Model: Phase Diagram and Dominant Correlations, the ferromagnetic Kondo model or the double-exchange model. We use the name “one-orbital model” to highlight the differences with the more realistic two-orbital model with Jahn Teller phonons, also analyzed extensively in this book. The information provided in this chapter includes phase diagrams a

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Monte Carlo Simulations and Application to Manganite Models, simulations are tools to evaluate in an approximate way these integrals/sums, allowing for fairly precise calculation of observables. The results are exact within statistic and controlled systematic errors. This is a powerful procedure that supplements analytical calculations. A large variety of ph

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Mean-Field Approximation,fficulty theorists encounter to find accurate approximations to handle the many-body Hamiltonians that they themselves write. This leads to the proliferation of a variety of fairly different proposed ground states for the . model Hamiltonian, an issue that often perplexes experimentalists. This prob

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