Skip to main content

Linear Responses of Metallic Electrons

  • Chapter
New Perspectives in Magnetism of Metals

Abstract

In this chapter we study the linear responses of a metal to external magnetic and electric fields. As for the response to a mechanical perturbation, namely, the elastic constant, we discuss it later in Chapters 5 and 7. We will be particularly interested in the responses in the ferromagnetic state of a metal. The results of this chapter may be useful by themselves but they are also essential in our later discussions on the electron-phonon interaction which is the central theme of this book.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Kubo, J. Phys. Soc. Jpn. 12 (1957) 570.

    Article  Google Scholar 

  2. D. Pines and P. Nozieres, Theory of Quantum Liquids volume I, ( Addison-Wesley, New York, 1989 ).

    Google Scholar 

  3. L. E. Reichl, A Modern Course in Statistical Physics ( Univ. of Texas Press, Austin, 1980 ).

    Google Scholar 

  4. L. van Hove, Phys. Rev. 95 (1954) 1374.

    Google Scholar 

  5. M. A. Ruderman and C. Kittel, Phys. Rev. 96 (1954) 99.

    Article  ADS  Google Scholar 

  6. T. Kasuya, Prog. Theor. Phys. 16 (1956) 45.

    MATH  Google Scholar 

  7. K. Yosida, Phys. Rev. 106 (1957) 893.

    Article  ADS  Google Scholar 

  8. J. Friedel, Nuovo Cimento, Suppl. 7 (1958) 287.

    Google Scholar 

  9. K. Yosida, in Progress in Low Temperature Physics,vol.4, ed. G.J.

    Google Scholar 

  10. Gorter (North-Holland, Amsterdam, 1964) p.263

    Google Scholar 

  11. T. Nagamiya, in Solid State Physics, vol.20, eds. F. Seitz, D. Turnbull and H. Ehrenreich (Academic, New Yowk, 1967 ) p. 305.

    Google Scholar 

  12. P. W. Anderson, Phys. Rev. 124 (1961) 41.

    Article  MathSciNet  ADS  Google Scholar 

  13. D. J. Kim and Y. Nagaoka, Prog. Theor. Phys. 30 (1963) 743.

    Article  ADS  Google Scholar 

  14. J. R. Schrieffer and P. A. Wolf, Phys. Rev. 149 (1966) 491.

    Article  ADS  Google Scholar 

  15. K. Yosida, Phys. Rev. 107 (1957) 396.

    Article  ADS  MATH  Google Scholar 

  16. J. Kondo, Prog. Theor. Phys. 32 (1964) 37.

    Google Scholar 

  17. D. J. Kim, Bussei Kenkyu (Kyoto) 3 (1965) 435

    Google Scholar 

  18. D. J. Kim, Phys. Rev. 149 (1966) 434.

    Article  ADS  Google Scholar 

  19. J. Bardeen and D. Pines, Phys. Rev. 99 (1955) 1140.

    Google Scholar 

  20. H. Fröhlich, Phys. Rev. 79 (1950) 845.

    Article  ADS  MATH  Google Scholar 

  21. J. Kondo, Prog. Theoret. Phys. 33 (1965) 575.

    Google Scholar 

  22. M. Bailyn, Advan. Phys. 15 (1966) 179.

    Article  ADS  Google Scholar 

  23. A. J. Heeger, in Solid State Physics, vol. 23 ( Academic Press, New York, 1969 ) p. 284.

    Google Scholar 

  24. N. Andrei, K. Furuya, and J. H. Lowenstein, Rev. Mod. Phys. 55 (1983) 331.

    Article  MathSciNet  ADS  Google Scholar 

  25. R. E. Peierls, Quantum Theory of Solids ( Clarendon, Oxford 1955 ).

    MATH  Google Scholar 

  26. D. J. Kim, H. C. Praddaude and B. B. Schwartz, Phys. Rev. Lett. 23 (1969) 419.

    Article  ADS  Google Scholar 

  27. D. J. Kim, B. B. Schwartz and H. C. Praddaude, Phys. Rev. B. 7 (1973) 205.

    Article  ADS  Google Scholar 

  28. B. B. Schwartz, in Magnetism, Selected Topics, ed. S. Foner ( Gordon and Breach, New York, 1976 ) p. 93.

    Google Scholar 

  29. A. K. Rajagopal, H. Brooks, and N. R. Ranganathan, Nuovo Cimento Suppl. 10 (1967) 807.

    Google Scholar 

  30. B. Giovannini, M. Peter and J. R. Schrieffer, Phys. Rev. Lett. 12 (1964) 736.

    Article  ADS  Google Scholar 

  31. D. J. Kim and B. B. Schwartz, Phys. Rev. Lett. 20 (1968) 201

    Article  ADS  Google Scholar 

  32. D. J. Kim and B. B. Schwartz, 21 (1968) 1744.

    Google Scholar 

  33. G. G. Low and T. M. Holden, Proc. Phys. Soc. 89 (1966) 119.

    Article  ADS  Google Scholar 

  34. J. Hubbard, Proc. Roy. Soc. A 243 (1957) 336.

    MathSciNet  Google Scholar 

  35. D. J. Kim and B. B. Schwartz, Phys. Rev. Lett. 28 (1972) 310.

    Article  ADS  Google Scholar 

  36. A. A. Gomes and I. A. Campbell, J. Phys. C 1 (1968) 253.

    Article  ADS  Google Scholar 

  37. D. J. Kim and B. B. Schwartz, Phys. Rev. B 15 (1977) 377.

    Article  ADS  Google Scholar 

  38. N. F. Mott and H. Jones, The Theory of the Properties of Metals and Alloys ( Dover Publications, New York, 1958 ).

    Google Scholar 

  39. S. C. Lin, J. Appl. Phys. 40 (1969) 2173.

    Google Scholar 

  40. D. J. Gillespie, C. A. Mackliet, and A.I. Schindler, in Amorphous Magnetism, eds. H. O. Hooper and A. M. de Graaf ( Plenum, New York, 1973 ), p. 343.

    Chapter  Google Scholar 

  41. R. Hasegawa and J. A. Dermon, Phys. Lett. A 42 (1973) 407.

    Article  ADS  Google Scholar 

  42. S. Ogawa, S. Waki and T. Teranishi, Int. J. Magn. 5 (1974) 349.

    Google Scholar 

  43. T. Yoshiie, K. Yamakawa, and E. Fujita, J. Phys. Soc. Jpn. 37 (1974) 572.

    Article  ADS  Google Scholar 

  44. V. Bänniger, G. Busch, M. Campagna, and H. C. Siegmann, Phys. Rev. Lett. 25 (1970) 585

    Article  ADS  Google Scholar 

  45. G. Busch, M. Campagna, and H. C. Siegmann, Phys. Rev. B 4 (1971) 746.

    Article  ADS  Google Scholar 

  46. P. M. Tedrow and R. Meservey, Phys. Rev. Lett. 26 (1971) 192

    Article  ADS  Google Scholar 

  47. P. M. Tedrow and R. Meservey, Phys. Rev. B 7 (1973) 318.

    Article  ADS  Google Scholar 

  48. Y. Shapira, N. F. Oliviera, Jr., D. H. Ridgley, R. Kershaw, K. Dwight, and A. Wold, Phys. Rev. B 34 (1986) 4187

    Article  Google Scholar 

  49. Y. Shapira, N. F. Oliveira, Jr., P. Becla and T. Q. Yu, Phys. Rev. B 41 (1990) 5931.

    Article  Google Scholar 

  50. S. Ukon, in Proc. Int. Conf. on Magnetism, ed. D. Givord ( Les Editions de Physique, Paris, 1988 ) p. 79.

    Google Scholar 

  51. C. A. Kukkonen and A. W. Overhauser, Phys. Rev. B 20 (1979) 550.

    Article  ADS  Google Scholar 

  52. A. W. Overhauser, Phys. Rev. 128 (1962) 1437.

    Google Scholar 

  53. A. W. Overhauser, Phys. Rev. 167 (1968) 691.

    Article  ADS  Google Scholar 

  54. J. F. Cooke, J. A. Blackman and T. Morgan, J. Magn. Magn. Mat 5457 (1986) 1115.

    Google Scholar 

  55. H. A. Mook, in Spin Waves and Magnetic Excitations vol. 1, eds. A. S. Borovik-Romanov and S. K. Sinha (Elsevier Science Publishers, 1988 ), p. 425.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kim, D.J. (1999). Linear Responses of Metallic Electrons. In: New Perspectives in Magnetism of Metals. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3052-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3052-4_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3325-6

  • Online ISBN: 978-1-4757-3052-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics