Abstract
We apply the Bogoliubov-Tyablikov method of two-time Green’s functions to a multielectron theory of metals in the framework of the models with strong correlations, which are the Hubbard model and the Vonsovskii s-d(f) exchange model. We discuss the atomic representation in the problem of describing electron states, the metal-insulator transition, the problem of noncoherent states, and the Kondo effect. We analyze the ferromagnetism criterion in systems of strongly correlated electrons, which differs drastically from the Stoner condition.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 167, No. 2, pp. 453–466, September, 2011.
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Irkhin, V.Y. The method of two-time Green’s functions in the magnetism theory of metals with strong correlations. Theor Math Phys 168, 1246–1257 (2011). https://doi.org/10.1007/s11232-011-0102-2
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DOI: https://doi.org/10.1007/s11232-011-0102-2