A Contemporary Model Description of Magnetism
arXiv:2102.08763 · doi:10.1134/S0031918X10130028
Abstract
A treatment of many-electron polar and exchange models is carried out in connection with the development of the theory of magnetism of transition and rare-earth metals, as well as their compounds. Particular emphasis is placed on the derivation of the many-electron Heisenberg, Hubbard, Anderson and models, as well as the internal relationship between them. Among the topics discussed are many-electron approaches in describing systems of - and -electrons, atomic representation of Hubbard's -operators, slave-particle representations, the problem of strong itinerant magnetism and the formation of local moments, the role of non-quasiparticle (incoherent states). The application of these concepts to strongly correlated systems, in particular, to half-metallic ferromagnets and Kondo lattices, is discussed. A comparison is performed with modern field-theoretical and topological approaches.
arXiv commentIn Russian, 79 p. Book Chapter in: Physics of Magnetic Materials and Nanostructures (Ekaterinburg, 2020), p.277. Extended and updated version of the paper in Phys. Met. Metallogr. 110, 602 (2010)
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