Abstract

In this chapter, we start the theoretical study of manganites and related compounds. Instead of directly defining semi phenomenological models, such as 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 d-levels of relevance for manganites, as well as the Jahn Teller distortions that also are very important in Mn oxides and other materials. The main ideas and calculations presented in this chapter can be applied without many modifications to several compounds, and thus this chapter fulfils one of the goals of the book: using the manganites as a focal point, a variety of general concepts and ideas will be presented that are useful far beyond the Mn oxides.

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