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Metal–Insulator Transition in the Hubbard Model: Correlations and Spiral Magnetic Structures

The metal–insulator transition (MIT) for the square, simple cubic, and body-centered cubic lattices is investigated within the t – t ′ Hubbard model at half-filling by using both the generalized for the case of spiral order Hartree–Fock approximation (HFA) and Kotliar–Ruckenstein slave-boson approac...

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Bibliographic Details
Published in:Journal of low temperature physics 2016-12, Vol.185 (5-6), p.651-656
Main Authors: Timirgazin, Marat A., Igoshev, Petr A., Arzhnikov, Anatoly K., Irkhin, Valentin Yu
Format: Article
Language:English
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Summary:The metal–insulator transition (MIT) for the square, simple cubic, and body-centered cubic lattices is investigated within the t – t ′ Hubbard model at half-filling by using both the generalized for the case of spiral order Hartree–Fock approximation (HFA) and Kotliar–Ruckenstein slave-boson approach. It turns out that the magnetic scenario of MIT becomes superior over the non-magnetic one. The electron correlations lead to some suppression of the spiral phases in comparison with HFA. We found the presence of a metallic antiferromagnetic (spiral) phase in the case of three-dimensional lattices.
ISSN:0022-2291
1573-7357
DOI:10.1007/s10909-016-1603-z