Abstract
Various auxiliary-particle approaches to treat electron correlations in many-electron models are analyzed. Applications to copper-oxide layered systems are discussed. The ground-state magnetic phase diagrams are considered within the Hubbard and \(s\)–\(d\) exchange (Kondo) models for square and simple cubic lattices vs. band filling and interaction parameter. A generalized Hartree–Fock approximation is employed to treat commensurate ferro-, antiferromagnetic, and incommensurate (spiral) magnetic phases, and also magnetic phase separation. The correlations are taken into account within the Hubbard model by using the slave-boson approach. The main advantage of this approach is correct estimating the contribution of doubly occupied states number and therefore the paramagnetic phase energy.
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ACKNOWLEDGMENTS
The research was carried out within the state assignment of FASO of Russia (theme Quantum AAAA-A18-118020190095-4). This work was supported in part by Ural Division of the Russian Academy of Sciences (project no. 18-2-2-11) and by the Russian Foundation for Basic Research (project no. 16-02-00995).
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Irkhin, V.Y., Igoshev, P.A. Electron States and Magnetic Phase Diagrams of Strongly Correlated Systems. Phys. Metals Metallogr. 119, 1267–1271 (2018). https://doi.org/10.1134/S0031918X18130197
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DOI: https://doi.org/10.1134/S0031918X18130197