A Contemporary Model Description of Magnetism

Abstract

A treatment of many-electron polar and $s-d(f)$ 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 $t-J$ models, as well as the internal relationship between them. Among the topics discussed are many-electron approaches in describing systems of $d$- and $f$-electrons, atomic representation of Hubbard's $X$-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.

In 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)

References in corpus (3)

• Half-metallic ferromagnets: From band structure to many-body effects
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Spectral functions of 2D systems with coupling of electrons to collective or localized spin degrees of freedom

Cited by in corpus (2)

• Models of Mixed Matter
• S. Vonsovsky and the dawn of the theory of strongly correlated systems