Skip to main content
SpringerLink
Log in

Quantum Effects in Transport Phenomena

  • Chapter
Semiconductor Physics

Part of the book series: Springer Study Edition ((SSE))

  • 450 Accesses

Abstract

In Chap.2 we have learned how the quantization of the atomic energy levels results in the band structure of the crystalline solid. However, this is not the only domain of quantum mechanics in semiconductivity. Although most transport phenomena can be explained by the assumption of a classical electron gas, there are some which can be understood only by quantum mechanical arguments. In Chap.9a we will treat phenomena which rely on the quantum mechanical “tunnel effect”, while in Chaps.9b-d the quantization of electron orbits in a strong magnetic field with the formation of “Landau levels” will be the basis for an understanding of the “oscillatory” behavior of transport phenomena.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. L. Esaki, Phys. Rev. 109 (1958) 603.

    Article  ADS  Google Scholar 

  2. For a review see e.g. W. F. Chow: Principles of Tunnel Diode Circuits. New York: J. Wiley and Sons. 1964.

    Google Scholar 

  3. E. O. Kane, J. Appl. Phys. 32 (1961) 83; J. Phys. Chem. Solids 2 (1960) 181.

    Google Scholar 

  4. J. Karlovsky, Phys. Rev. 127 (1962) 419.

    Article  ADS  Google Scholar 

  5. J. Karlovsky, Phys. Rev. 127 (1962) 419.

    Article  ADS  Google Scholar 

  6. E. O. Kane, Phys. Rev. 131 (1963) 79.

    Article  ADS  MATH  Google Scholar 

  7. S. M. Sze: Physics of Semiconductor Devices. New York: J. Wiley and Sons. 1969.

    Google Scholar 

  8. P. Thomas and H. J. Queisser, Phys. Rev. 175 (1968) 983; for reviews see e.g. P. Thomas: Fachberichte DPG, p. 114. Stuttgart: Teubner. 1968, and H. Zetsche, ibid. 1970, p. 172.

    Google Scholar 

  9. C. Zener, Proc. Roy. Soc. (London) 145 (1934) 523; K. B. McAfee, E. J. Ryder, W. Shockley, and M. Sparks, Phys. Rev. 83 (1951) 650.

    Google Scholar 

  10. S. L. Miller, Phys. Rev. 99 (1955) 1234.

    Google Scholar 

  11. L. D. Landau, Zeitschr. f. Physik 64 (1930) 629.

    Article  ADS  MATH  Google Scholar 

  12. P. Thomas and H. J. Queisser, Phys. Rev. 175 (1968) 983; for reviews see e.g. P. Thomas: Fachberichte DPG, p. 114. Stuttgart: Teubner. 1968, and H. Zetsche, ibid. 1970, p. 172.

    Google Scholar 

  13. C. Zener, Proc. Roy. Soc. (London) 145 (1934) 523; K. B. McAfee, E. J. Ryder, W. Shockley, and M. Sparks, Phys. Rev. 83 (1951) 650.

    Google Scholar 

  14. S. L. Miller, Phys. Rev. 99 (1955) 1234.

    Google Scholar 

  15. L. D. Landau, Zeitschr. f. Physik 64 (1930) 629.

    Article  ADS  MATH  Google Scholar 

  16. G. Bauer and H. Kahlert, Phys. Rev B5 (1972) 566 and Proc. Int. Conf. Semic. Physics, Cambridge, Mass., 1970 (S. P. Keller, J. C. Hensel, and F. Stern, eds.), p. 65. Oak Ridge/Tenn.: USAEC. 1970.

    Google Scholar 

  17. L. Shubnikov and W. J. de Haas, Leiden Commun. 207a, 207e, 207d, 210a (1930).

    Google Scholar 

  18. E. N. Adams and T. D. Holstein, J. Phys. Chem. Solids 10 (1959) 254.

    Article  ADS  Google Scholar 

  19. see e.g. L. I. Schiff: Quantum Mechanics, p. 441. New York: McGraw-Hill. 1968; for electrons in III-Y compounds see M. Cardona, J. Phys. Chem. Solids 24 (1963) 1543.

    Google Scholar 

  20. R. B. Dingle, Proc. Roy. Soc. (London) A211 (1952) 517.

    Google Scholar 

  21. R. A. Isaacson and F. Bridges, Solid State Comm. 4 (1966) 635.

    Article  ADS  Google Scholar 

  22. G. Bauer and H. Kahlert, Phys. Lett. 41A (1972) 351.

    Google Scholar 

  23. L. M. Roth and P. N. Argyres: Semiconductors and Semimetals (R. K. Willardson and A. C. Beer, eds.), Vol.!., p. 159. New York: Acad. Press. 1966, and the article on thermomagnetic effects by S. M. Puri and T. H. Geballe, ibid., p. 203.

    Google Scholar 

  24. W. J. de Haas and P. M. van Alphen, Leiden Commun. 208d, 212a (1930), and 220d (1933).

    Google Scholar 

  25. Strictly speaking the Bohr magneton is µoiAB where µn is the permeability of free space.

    Google Scholar 

  26. R. A. Isaacson and F. Bridges, Solid State Comm. 4 (1966) 635.

    Article  ADS  Google Scholar 

  27. G. Bauer and H. Kahlert, Phys. Lett. 41A (1972) 351.

    Article  Google Scholar 

  28. L. M. Roth and P. N. Argyres: Semiconductors and Semimetals (R. K. Willardson and A. C. Beer, eds.), Vol.1., p. 159. New York: Acad. Press. 1966, and the article on thermomagnetic effects by S. M. Puri and T. H. Geballe, ibid., p. 203.

    Google Scholar 

  29. W. J. de Haas and P. M. van Alphen, Leiden Commun. 208d, 212a (1930), and 220d (1933).

    Google Scholar 

  30. Strictly speaking the Bohr magneton is µoµB where µo is the permeability of free space.

    Google Scholar 

  31. see e.g. R. A. Smith: The Physical Principles of Thermodynamics, p. 154. London: Chapman and Hall. 1952, and R. A. Smith: Wave Mechanics of Crystalline Solids, p. 384. London: Chapman and Hall. 1961.

    Google Scholar 

  32. D. Shoenberg: The Physics of Metals, 1. Electrons (J. M. Ziman, ed.). Cambridge: Univ. Press. 1969; for a derivation of Eq.(9b.15) see e.g. J. M. Ziman: Principles of the Theory of Solids, chap. 9.7. Cambridge: Univ. Press. 1964.

    Google Scholar 

  33. Y. Yafet, R. W. Keyes, and E. N. Adams, J. Phys. Chem. Solids 1 (1956) 137.

    Article  ADS  Google Scholar 

  34. R. W. Keyes and R. J. Sladek, J. Phys. Chem. Solids 1 (1956) 143.

    Article  ADS  Google Scholar 

  35. E. H. Putley, Proc. Phys. Soc. (London) 76 (1960) 802; J. Phys. Chem. Solids 22 (1961) 241.

    Article  ADS  Google Scholar 

  36. L. J. Neuringer, Proc. Int. Conf. Phys. Semicond. Moscow 1968, p. 715. Leningrad: Nauka. 1968.

    Google Scholar 

  37. E. J. Fantner, thesis, Univ. Wien, Austria, 1973.

    Google Scholar 

  38. R. W. Keyes and R. J. Sladek, J. Phys. Chem. Solids 1 (1956) 143.

    Article  ADS  Google Scholar 

  39. E. H. Putley, Proc. Phys. Soc. (London) 76 (1960) 802; J. Phys. Chem. Solids 22 (1961) 241.

    Article  ADS  Google Scholar 

  40. L. J. Neuringer, Proc. Int. Conf. Phys. Semicond. Moscow 1968, p. 715. Leningrad: Nauka. 1968.

    Google Scholar 

  41. E. J. Fantner, thesis, Univ. Wien, Austria, 1973.

    Google Scholar 

  42. E. H. Putley: Semiconductors and Semimetals (R. K. Willardson and A. C. Beer, eds.), Vol.!, p. 289. New York: Acad. Press. 1966.

    Google Scholar 

  43. V. L. Gurevich and Yu. A. Firsov, Zh. Eksp. Teor. Fiz. 40 (1961) 199 [Engl.: Soy. Phys.-JETP 13 (1961) 137. 1.

    Google Scholar 

  44. M. I. Klinger, Fiz. Tverd. Tela 3 (1961) 1342 [Engl.: Soy. Phys. Solid State 3 (1961) 974.].

    Google Scholar 

  45. Yu. A. Firsov, V. L. Gurevich, R. V. Parfeniev, and S. S. Shalyt, Phys. Rev. Letters 12 (1964) 660.

    Article  ADS  Google Scholar 

  46. V. L. Gurevich and Yu. A. Firsov, Zh. Eksp. Teor. Fiz. 40 (1961) 199 [Engl.: Soy. Phys.-JETP 13 (1961) 137.].

    Google Scholar 

  47. M. I. Klinger, Fiz. Tverd. Tela 3 (1961) 1342 [Engl.: Soy. Phys. Solid State 3 (1961) 974.].

    Google Scholar 

  48. Yu. A. Firsov, V. L. Gurevich, R. V. Parfeniev, and S. S. Shalyt, Phys. Rev. Letters 12 (1964) 660.

    Article  ADS  Google Scholar 

  49. A calculation for degenerate semiconductors has been presented by A. L. Efros, Fiz. Tverd. Tela 3 (1961) 2848 [Engl.: Soy. Phys. Solid State 3 (1962) 2079.].

    Google Scholar 

  50. L. Eaves, R. A. Stradling, and R. A. Wood, Proc. Int. Conf. Semic. Physics, Cambridge, Mass., 1970 (S. P. Keller, J. C. Hensel, and F. Stern, eds.), p. 816. Oak Ridge/Tenn.: USAEC. 1970.

    Google Scholar 

  51. V. L. Gurevich and Yu. A. Firsov, Zh. Eksp. Teor. Fiz. 47(1964) 734 [Engl.: Soy. Phys.-JETP 20 (1964) 489.].

    Google Scholar 

  52. R. A. Stradling and R. A. Wood, J. Phys. C 1 (1968) 1711.

    Google Scholar 

  53. A. L. Mears, R. A. Stradling, and E. K. Inall, J. Phys. C 1 (1968) 821.

    Article  ADS  Google Scholar 

  54. V. L. Gurevich and Yu. A. Firsov, Zh. Eksp. Teor. Fiz. 47(1964) 734 [Engl.: Soy. Phys.-JETP 20 (1964) 489.].

    Google Scholar 

  55. R. A. Stradling and R. A. Wood, J. Phys. C 1 (1968) 1711.

    Google Scholar 

  56. A. L. Mears, R. A. Stradling, and E. K. Inall, J. Phys. C 1 (1968) 821.

    Article  ADS  Google Scholar 

  57. R. A. Reynolds, Solid State Electronics 11 (1968) 385.

    Article  ADS  Google Scholar 

  58. R. A. Stradling, L. Eaves, R. A. Hoult, A. L. Mears, and R. A. Wood, Proc. Int. Conf. Semic. Physics Cambridge/Mass. 1970 (S. P. Keller, J. C. Hensel, and F. Stern, eds.), p. 816. Oak Ridge/Tenn.: USAEC. 1970.

    Google Scholar 

  59. R. A. Wood, R. A. Stradling, and I. P. Molodyan, J. Phys. C 3 (1970) L 154.

    Google Scholar 

  60. S. M. Puri and T. H. Geballe: Semiconductors and Semimetals (R. K. Willardson and A. C. Beer, eds.), Vol. 1, p. 203. New York: Acad. Press. 1966.

    Google Scholar 

  61. R. A. Wood, R. A. Stradling, and I. P. Molodyan, J. Phys. C 3 (1970) L 154.

    Google Scholar 

  62. S. M. Puri and T. H. Geballe: Semiconductors and Semimetals (R. K. Wil-lardson and A. C. Beer, eds.), Vol. 1, p. 203. New York: Acad. Press. 1966.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ludwig Boltzmann-Institut für Festkörperphysik, Wien, Österreich

    Karlheinz Seeger

  2. Institut für Angewandte Physik, Universität Wien, Österreich

    Karlheinz Seeger

Authors
  1. Karlheinz Seeger
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag Wien

About this chapter

Cite this chapter

Seeger, K. (1973). Quantum Effects in Transport Phenomena. In: Semiconductor Physics. Springer Study Edition. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4111-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-4111-3_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81186-3

  • Online ISBN: 978-3-7091-4111-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation