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Strong short-range magnetic order in a frustrated FCC lattice and its possible role in the iron structural transformation

Abstract

The magnetic properties of a frustrated Heisenberg antiferromagnet with the fcc lattice and exchange interaction between the nearest (J 1) and next-to-nearest (J 2) neighbors are studied in this work. For the collinear phase with the wave vector Q= (π,π,π), the equations of the self-consistent spin-wave theory are obtained and solved numerically for the sublattice magnetization and the averaged short-range order parameter. The dependence of the Néel temperatureT N on the ratio J 2/J 1 is found. It is shown that, in the case of a sufficiently strong frustration, strong short-range magnetic order persists over a wide temperature range above T N. The possible application of this result to the mechanism of structural phase transition from α-Fe to γ-Fe is considered.

References

  1. S. C. Abrahams, L. Guttman, and J. S. Kasper, Phys. Rev. 127, 2052 (1962); G. J. Johanson, M. B. McGirr, and D. A. Wheeler, Phys. Rev. B 1, 3208 (1970); Y. Tsunoda, N. Kunitomi, and R. M. Nicklow, J. Phys. F: Met. Phys. 17, 2447 (1987).

    Article  ADS  Google Scholar 

  2. M. Takahashi, Phys. Rev. B 40, 2494 (1989); D. J. Yoshioka, Phys. Soc. Jpn. 58, 3733 (1989).

    Article  ADS  Google Scholar 

  3. V. Yu. Irkhin, A. A. Katanin, and M. I. Katsnelson, Phys. Rev. B 60, 1082 (1999); A. A. Katanin and V. Yu. Irkhin, Usp. Fiz. Nauk 177, 639 (2007) [Phys. Usp. 50, 613 (2007)].

    Article  ADS  Google Scholar 

  4. V. Yu. Irkhin, A. A. Katanin, and M. I. Katsnelson, J. Phys.: Cond. Matter 4, 5227 (1992).

    Article  ADS  Google Scholar 

  5. O. P. Sushkov, J. Oitmaa, and Zheng Weihong, Phys. Rev. B 63, 104420 (2001); J. Sirker, Zheng Weihong, O. P. Sushkov, and J. Oitmaa, Phys. Rev. B 73, 184420 (2006).

    Article  ADS  Google Scholar 

  6. T. Yildirim, A. B. Harris, and E. F. Shender, Phys. Rev. B 58, 3144 (1998).

    Article  ADS  Google Scholar 

  7. V. G. Bar’yakhtar, V. N. Krivoruchko, and D. A. Yablonskii, Green’s Functions in the Theory of Magnetism (Naukova Dumka, Kiev, 1984) [in Russian].

    Google Scholar 

  8. A. M. Tsvelik, Quantum Field Theory in Condensed Matter Physics (Cambridge Univ. Press, Cambridge, 1998).

    Google Scholar 

  9. Th. Bruckel, B. Dorner, A. Gukasov, and V. Plakhty, Phys. Lett. A 162, 357 (1992).

    Article  ADS  Google Scholar 

  10. V. A. Gubanov, A. I. Liechtenstein, and A. V. Postnikov, Magnetic and the Electronic Structure of Crystals (Springer, Berlin, Heidelberg, New York, 1992).

    Google Scholar 

  11. O. N. Mryasov et al., J. Phys.: Cond. Matter 3, 7683 (1991); D. W. Boukhvalov, Yu. N. Gornostyrev, M. I. Katsnelson, et al., Phys. Rev. Lett. 99, 247205 (2007).

    Article  ADS  Google Scholar 

  12. A. V. Ruban, M. I. Katsnelson, W. Olovsson, et al., Phys. Rev. B 71, 054402 (2005).

    Article  ADS  Google Scholar 

  13. P. Böni, G. Shirane, and J. P. Wicksted, Phys. Rev. B 31, 4597 (1985).

    Article  ADS  Google Scholar 

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Correspondence to A. N. Ignatenko.

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Original Russian Text © A.N. Ignatenko, A.A. Katanin, V.Yu. Irkhin, 2008, published in Pis’ma v Zhurnal Éksperimental’ noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 87, No. 10, pp. 642–646.

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Ignatenko, A.N., Katanin, A.A. & Irkhin, V.Y. Strong short-range magnetic order in a frustrated FCC lattice and its possible role in the iron structural transformation. Jetp Lett. 87, 555–559 (2008). https://doi.org/10.1134/S0021364008100093

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  • DOI: https://doi.org/10.1134/S0021364008100093

PACS numbers

  • 75.10.Jm
  • 75.30.Kz
  • 75.50.Bb