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Realistic modeling of complex oxide materials. (English) Zbl 1219.82176

Summary: Since electronic and magnetic properties of many transition-metal oxides can be efficiently controlled by external factors such as the temperature, pressure, electric or magnetic field, they are regarded as promising materials for various applications. From the viewpoint of the electronic structure, these phenomena are frequently related to the behavior of a small group of states located near the Fermi level. The basic idea of this project is to construct a model for the low-energy states, derive all the parameters rigorously on the basis of density functional theory (DFT), and to study this model by modern techniques. After a brief review of the method, the abilities of this approach will be illustrated on a number of examples, including multiferroic manganites and spin-orbital-lattice coupled phenomena in \(RVO_{3}\) (where \(R\) is the three-valent element).

MSC:

82D20 Statistical mechanics of solids
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82-08 Computational methods (statistical mechanics) (MSC2010)
82D40 Statistical mechanics of magnetic materials

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