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Single-Site Gaussian Approximation

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Dynamic Spin-Fluctuation Theory of Metallic Magnetism

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Abstract

The starting point of SFT is the Hubbard Hamiltonian, which relies on the assumption that the electron–electron interaction is local. Therefore, it seemed quite logical at the beginning to assume that the local spin fluctuations dominate.

Anything that begins well, ends badly. Anything that begins badly, ends worse. (Murphy’s Law)

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Notes

  1. 1.

    Henceforth we deal with the advanced Green function and omit the superscript.

  2. 2.

    In practice, sufficient accuracy is achieved if one uses formulae (10.12) or (10.37) for ΔΣ σ(ɛ) with the single-site Green function g σ S calculated by (10.35) without ΔΣ σ(ɛ).

References

  1. J. Hubbard, Phys. Rev. B 19, 2626 (1979)

    Article  ADS  Google Scholar 

  2. J. Hubbard, Phys. Rev. B 20, 4584 (1979)

    Article  ADS  Google Scholar 

  3. H. Hasegawa, J. Phys. Soc. Jpn. 46, 1504 (1979)

    Article  ADS  Google Scholar 

  4. H. Hasegawa, J. Phys. Soc. Jpn. 49, 178 (1980)

    Article  ADS  Google Scholar 

  5. H. Hasegawa, J. Phys. Soc. Jpn. 49, 963 (1980)

    Article  ADS  Google Scholar 

  6. J.A. Hertz, M.A. Klenin, Phys. Rev. B 10(3), 1084 (1974)

    Article  ADS  Google Scholar 

  7. J.A. Hertz, M.A. Klenin, Physica B&C 91B, 49 (1977)

    Article  ADS  Google Scholar 

  8. V.I. Grebennikov, Phys. Solid State 40, 79 (1998)

    Article  ADS  Google Scholar 

  9. B.I. Reser, V.I. Grebennikov, Phys. Met. Metallogr. 85, 20 (1998)

    Google Scholar 

  10. B.I. Reser, J. Phys. Condens. Matter 11, 4871 (1999)

    Article  ADS  Google Scholar 

  11. N.B. Melnikov, B.I. Reser, V.I. Grebennikov, J. Phys. Condens. Matter 23, 276003 (2011)

    Article  ADS  Google Scholar 

  12. V.I. Grebennikov, J. Magn. Magn. Mater. 84, 59 (1990)

    Article  ADS  Google Scholar 

  13. N.B. Melnikov, B.I. Reser, Procs. Steklov Inst. Math. 271, 149 (2010)

    Article  Google Scholar 

  14. S. Hirooka, Physica B 149, 156 (1988)

    Article  Google Scholar 

  15. S. Hirooka, M. Shimizu, J. Phys. F: Met. Phys. 18, 2237 (1988)

    Article  ADS  Google Scholar 

  16. B.I. Reser, J. Phys. Condens. Matter 8, 3151 (1996)

    Article  ADS  Google Scholar 

  17. V.L. Moruzzi, J.F. Janak, A.R. Williams, Calculated Electronic Properties of Metals (Pergamon, New York, 1978)

    Google Scholar 

  18. J. Crangle, G.M. Goodman, Proc. R. Soc. Lond. A 321, 477 (1971)

    Article  ADS  Google Scholar 

  19. E.P. Wohlfarth, in Ferromagnetic Materials, vol. 1, ed. by E.P. Wohlfarth (North-Holland, Amsterdam, 1980), pp. 1–70

    Google Scholar 

  20. H.P.J. Wijn (ed.). Magnetic Properties of Metals. 3d, 4d and 5d Elements, Alloys and Compounds. Landolt-Börnstein New Series, vol. III/19a (Springer, Berlin, 1987)

    Google Scholar 

  21. O. Eriksson, B. Johansson, R.C. Albers, A.M. Boring, Phys. Rev. B 42, 2707 (1990)

    Article  ADS  Google Scholar 

  22. L.M. Sandratskii, J. Kübler, J. Phys. Condens. Matter 4, 6927 (1992)

    Article  ADS  Google Scholar 

  23. V.L. Moruzzi, P.M. Markus, K. Schwarz, P. Mohn, J. Magn. Magn. Mater. 54–57, 955 (1986)

    Article  ADS  Google Scholar 

  24. P. Mohn, E.P. Wohlfarth, J. Phys. F: Met. Phys. 17, 2421 (1987)

    Article  ADS  Google Scholar 

  25. J. Staunton, B.L. Gyorffy, Phys. Rev. Lett. 69, 371 (1992)

    Article  ADS  Google Scholar 

  26. M. Uhl, J. Kübler, Phys. Rev. Lett. 77, 334 (1996)

    Article  ADS  Google Scholar 

  27. N.C. Basalis, N. Theodorakopoulos, D.A. Papaconstantopoulos, Phys. Rev. B 55, 11391 (1997)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    Nikolai B. Melnikov

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

    Boris I. Reser

Authors
  1. Nikolai B. Melnikov
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  2. Boris I. Reser
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Melnikov, N.B., Reser, B.I. (2018). Single-Site Gaussian Approximation. In: Dynamic Spin-Fluctuation Theory of Metallic Magnetism. Springer, Cham. https://doi.org/10.1007/978-3-319-92974-3_10

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