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

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Abstract

The metal–insulator transition (MIT) for the square, simple cubic, and body-centered cubic lattices is investigated within the t–\(t^\prime \) 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.

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Acknowledgments

The research was carried out within the state assignment of FASO of Russia (theme “Quantum” No. 01201463332). This work was supported in part by the Division of Physical Sciences and Ural Branch, Russian Academy of Sciences (Project Nos. 15-8-2-9, 15-8-2-12), and by the Russian Foundation for Basic Research (Project No. 16-02-00995) and Act 211 Government of the Russian Federation 02.A03.21.0006.

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Authors and Affiliations

  1. Physical-Technical Institute, Kirov str. 132, Izhevsk, Russia, 426000

    Marat A. Timirgazin & Anatoly K. Arzhnikov

  2. Institute of Metal Physics, Russian Academy of Sciences, Ekaterinburg, Russia, 620990

    Petr A. Igoshev & Valentin Yu. Irkhin

  3. Ural Federal University, Ekaterinburg, Russia, 620002

    Petr A. Igoshev

Authors
  1. Marat A. Timirgazin
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  2. Petr A. Igoshev
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  3. Anatoly K. Arzhnikov
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  4. Valentin Yu. Irkhin
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Correspondence to Marat A. Timirgazin.

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Timirgazin, M.A., Igoshev, P.A., Arzhnikov, A.K. et al. Metal–Insulator Transition in the Hubbard Model: Correlations and Spiral Magnetic Structures. J Low Temp Phys 185, 651–656 (2016). https://doi.org/10.1007/s10909-016-1603-z

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  • DOI: https://doi.org/10.1007/s10909-016-1603-z

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