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Magnetic fluctuations and itinerant ferromagnetism in two-dimensional systems with Van Hove singularities

Journal of Experimental and Theoretical Physics volume 105, pages 1043–1056 (2007)Cite this article

Abstract

A criterion for ferromagnetism in two-dimensional systems with the Fermi level near Van Hove singularities (VHSs) is analyzed. In the quasistatic approximation applied to a spin-fermion model, it is shown that the spectrum of spin excitations (paramagnons) is positively defined when the interaction I between the electronic and spin degrees of freedom is sufficiently large (I > I c). The critical interaction I c is much greater than its value determined from the Stoner criterion; hence, the latter criterion is not an adequate criterion for ferromagnetism in the presence of Van Hove singularities in the electronic spectrum. By combining the quasistatic approximation with the method of equations of motion, the electronic self-energy is obtained in the first order in the inverse number of spin components.

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Authors and Affiliations

  1. Institute of Metal Physics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 18, Yekaterinburg, 620219, Russia

    P. A. Igoshev, A. A. Katanin & V. Yu. Irkhin

  2. Max-Planck-Institut für Festkörperforschung, Stuttgart, 70569, Germany

    P. A. Igoshev & A. A. Katanin

Authors
  1. P. A. Igoshev
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  2. A. A. Katanin
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  3. V. Yu. Irkhin
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Correspondence to A. A. Katanin.

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Original Russian Text © P.A. Igoshev, A.A. Katanin, V.Yu. Irkhin, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 5, pp. 1187–1202.

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Igoshev, P.A., Katanin, A.A. & Irkhin, V.Y. Magnetic fluctuations and itinerant ferromagnetism in two-dimensional systems with Van Hove singularities. J. Exp. Theor. Phys. 105, 1043–1056 (2007). https://doi.org/10.1134/S1063776107110167

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  • DOI: https://doi.org/10.1134/S1063776107110167

PACS numbers

  • 71.10.Fd
  • 71.10.Hf
  • 75.10.Lp