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Introduction

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Abstract

Here we give a historical overview of major theoretical developments in metallic magnetism, comment on selected bibliography on magnetism and describe the organization of the book.

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Notes

  1. 1.

    For discussion of earlier works, see [10].

  2. 2.

    The name Green’s function is perhaps more common, but the omission of the possessive is consistent with the use of the names Schrödinger equation, Fermi surface, Stoner theory, etc. (see, e.g. [34]).

  3. 3.

    In ferromagnetic metals, this first-order-like behaviour happens too far from T C to be interpreted in the framework of the critical phenomena, which is not considered in the book (for a discussion of the critical region see, e.g. [1] and refs. therein).

References

  1. R.M. White, Quantum Theory of Magnetism, 3rd edn. (Springer, Berlin, 2007)

    Book  Google Scholar 

  2. K. Yosida, Theory of Magnetism, 2nd edn. (Springer, Berlin, 1998)

    MATH  Google Scholar 

  3. D.J. Kim, New Perspectives in Magnetism of Metals (Kluwer/Plenum, New York, 1999)

    Book  Google Scholar 

  4. P. Mohn, Magnetism in the Solid State, 2nd edn. (Springer, Berlin, 2006)

    Google Scholar 

  5. J. Kübler, Theory of Itinerant Electron Magnetism, 2nd edn. (Oxford University Press, Oxford, 2009)

    Google Scholar 

  6. Y. Takahashi, Spin Fluctuation Theory of Itinerant Electron Magnetism (Springer, Berlin, 2013)

    Book  Google Scholar 

  7. Y. Kakehashi, Modern Theory of Magnetism in Metals and Alloys (Springer, Berlin, 2012)

    Google Scholar 

  8. J.C. Slater, Phys. Rev. 49, 537 (1936)

    Article  ADS  Google Scholar 

  9. E.C. Stoner, Proc. R. Soc. Lond. A 165, 372 (1938)

    Article  ADS  Google Scholar 

  10. A. Sommerfeld, H. Bethe, in Handbuch der Physik, vol. 24, 2nd edn. (Springer, Berlin, 1933)

    Google Scholar 

  11. U. von Barth, L. Hedin, J. Phys. C Solid State Phys. 5, 1629 (1972)

    Article  ADS  Google Scholar 

  12. O. Gunnarsson, B.I. Lundqvist, Phys. Rev. B 13, 4274 (1976)

    Article  ADS  Google Scholar 

  13. W. Kohn, P. Vashishta, in Theory of the Inhomogeneous Electron Gas, ed. by S. Lundqvist, N.H. March (Plenum, New York, 1983), pp. 79–147

    Chapter  Google Scholar 

  14. R.O. Jones, O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989)

    Article  ADS  Google Scholar 

  15. O. Gunnarsson, J. Phys. F: Met. Phys. 6, 587 (1976)

    Article  ADS  Google Scholar 

  16. O. Gunnarsson, Physica 91B, 329 (1977)

    Google Scholar 

  17. U.K. Poulsen, J. Kollár, O.K. Andersen, J. Phys. F: Met. Phys. 6, L241 (1976)

    Article  ADS  Google Scholar 

  18. O.K. Andersen, J. Madsen, U.K. Poulsen, O. Jepsen, J. Kollár, Physica 86–88B, 249 (1977)

    Google Scholar 

  19. J.F. Janak, Phys. Rev. B 16, 255 (1977)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  21. T. Izuyama, D.J. Kim, R. Kubo, J. Phys. Soc. Jpn. 18(7), 1025 (1963)

    Article  ADS  Google Scholar 

  22. J.F. Cooke, J.W. Lynn, H.L. Davis, Phys. Rev. B 21, 4118 (1980)

    Article  ADS  Google Scholar 

  23. J. Callaway, A.K. Chatterjee, S.P. Singhal, A. Ziegler, Phys. Rev. B 28, 3818 (1983)

    Article  ADS  Google Scholar 

  24. T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism (Springer, Berlin, 1985)

    Book  Google Scholar 

  25. R.L. Stratonovich, Sov. Phys. Dokl. 2, 416 (1958)

    ADS  Google Scholar 

  26. J. Hubbard, Phys. Rev. Lett. 3(2), 77 (1959)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. V.I. Grebennikov, Y.I. Prokopjev, O.B. Sokolov, E.A. Turov, Phys. Met. Metallogr. 52, 1 (1981)

    Google Scholar 

  33. B.I. Reser, V.I. Grebennikov, Phys. Met. Metallogr. 83, 127 (1997)

    Google Scholar 

  34. S. Raimes, Many-Electron Theory (North-Holland, Amsterdam, 1972)

    Google Scholar 

  35. H. Ehrenreich, L.M. Schwartz, in Solid State Physics: Advances in Research and Applications, vol. 31, ed. by H. Ehrenreich, F.S.D. Turnbull (Academic, New York, 1976), p. 149

    Google Scholar 

  36. B.L. Gyorffy, A.J. Pindor, J. Staunton, G.M. Stocks, H. Winter, J. Phys. F: Met. Phys. 15, 1337 (1985)

    Article  ADS  Google Scholar 

  37. J. Staunton, B.L. Gyorffy, A.J. Pindor, G.M. Stocks, H. Winter, J. Phys. F: Met. Phys. 15, 1387 (1985)

    Article  ADS  Google Scholar 

  38. J. Staunton, B.L. Gyorffy, G. Stocks, J. Wadsworth, J. Phys. F: Met. Phys. 16, 1761 (1986)

    Article  ADS  Google Scholar 

  39. A. Deák, E. Simon, L. Balogh, L. Szunyogh, M. dos Santos Dias, J.B. Staunton, Phys. Rev. B 89, 224401 (2014)

    Article  ADS  Google Scholar 

  40. Y. Kakehashi, Phys. Rev. B 65, 184420 (2002)

    Article  ADS  Google Scholar 

  41. G. Kotliar, S.Y. Savrasov, K. Haule, V.S. Oudovenko, O. Parcollet, C.A. Marianetti, Rev. Mod. Phys. 78, 865 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Google Scholar 

  47. L.M. Sandratskii, Adv. Phys. 47, 91 (1998)

    Article  ADS  Google Scholar 

  48. A.I. Lichtenstein, M.I. Katsnelson, G. Kotliar, Phys. Rev. Lett. 87, 067205 (2001)

    Article  ADS  Google Scholar 

  49. A. Ruban, S. Khmelevskyi, P. Mohn, B. Johansson, Phys. Rev. B 75, 054402 (2007)

    Article  ADS  Google Scholar 

  50. P.-W. Ma, S.L. Dudarev, Phys. Rev. B 86, 054416 (2012)

    Article  ADS  Google Scholar 

  51. V.I. Grebennikov, S.A. Gudin, Phys. Met. Metallogr. 85, 258 (1998)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  53. B.I. Reser, J. Phys. Condens. Matter 12, 9323 (2000)

    Article  ADS  Google Scholar 

  54. B.I. Reser, J. Phys. Condens. Matter 14, 1285 (2002)

    Article  ADS  Google Scholar 

  55. B.I. Reser, J. Phys. Condens. Matter 16, 361 (2004)

    Article  ADS  Google Scholar 

  56. B.I. Reser, Phys. Met. Metallogr. 103, 373 (2007)

    Google Scholar 

  57. N.B. Melnikov, B.I. Reser, Phys. Met. Metallogr. 117(13), 1328 (2016)

    Article  ADS  Google Scholar 

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Melnikov, N.B., Reser, B.I. (2018). Introduction. In: Dynamic Spin-Fluctuation Theory of Metallic Magnetism. Springer, Cham. https://doi.org/10.1007/978-3-319-92974-3_1

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