Skip to main content

Quantum Effects in Transport Phenomena

  • Chapter
Semiconductor Physics

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 40))

  • 200 Accesses

Abstract

In Chap. 2 we learnt 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 assuming a classical electron gas, there are some which can be understood only by quantum mechanical arguments. In Sect. 9.1 we will treat phenomena which rely on the quantum mechanical tunnel effect, while in Sects. 9.2–9.4 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

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
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, 603 (1958)

    Article  Google Scholar 

  2. W.K. Chow: Principles of Tunnel Diode Circuits ( Wiley, New York 1964 )

    Google Scholar 

  3. S.M. Sze: Physics of Semiconductor Devices ( Wiley, New York 1969 )

    Google Scholar 

  4. D. Bohm: Quantum Theory ( Prentice Hall, Englewood CliffsNJ 1951 )

    Google Scholar 

  5. E.O. Kane: J. Appl. Phys. 32, 83 (1961)

    Article  Google Scholar 

  6. E.O. Kane: J. Phys. Chem. Solids 2, 181 (1960)

    Article  Google Scholar 

  7. J. Karlovsky: Phys. Rev. 127, 419 (1962)

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. P. Thomas, H.J. Queisser: Phys. Rev. 175, 983 (1968)

    Article  Google Scholar 

  10. P. Thomas: Fachberichte DPG (Teubner, Stuttgart 1968) p. 114 (review)

    Google Scholar 

  11. H. Zetsche: Fachberichte DPG ( Teubner, Stuttgart 1970 ) p. 172

    Google Scholar 

  12. C. Zener: Proc. Roy. Soc. London 145, 523 (1934)

    Article  Google Scholar 

  13. K.B. McAfee, E.J. Ryder, W. Shockley, M. Sparks: Phys. Rev. 83, 650 (1951)

    Article  Google Scholar 

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

    Article  Google Scholar 

  15. L. Esaki, R. Tsu: IBM J. Res. Dev. 14, 61 (1970)

    Article  Google Scholar 

  16. A.Y. Cho: Thin Solid Films 100, 291 (1983)

    Article  Google Scholar 

  17. P.D. Dapkus: J. Crystal Growth 68, 345 (1984)

    Article  Google Scholar 

  18. W. Richter: FestkörperprohlemelAdvances in Solid State Physics 26, 335, ed. by P. Grosse ( Vieweg, Braunschweig 1986 )

    Google Scholar 

  19. R. Tsu, L. Esaki: Appl. Phys. Lett. 22, 562 (1973)

    Article  Google Scholar 

  20. H. Morkoc, J. Chen, U.K. Reddy, T. Henderson, S. Luryi: Appl. Phys. Lett. 49, 70 (1986)

    Article  Google Scholar 

  21. S. Luryi: In: High-Speed Semiconductor Devices, ed. by S.M. Sze, ( Wiley, New York 1990 )

    Google Scholar 

  22. S. Luryi: In: Heterojunction Band Discontinuities: Physics and Device Applications, ed. by F. Capasso, G. Margaritondo, ( Elsevier, Amsterdam 1987 ) p. 489

    Google Scholar 

  23. T.C.L.G. Sollner, W.D. Goodhue, P.E. Tannenwald, C.D. Parker, D.D. Peck: Appl. Phys. Lett. 43, 588 (1983)

    Article  Google Scholar 

  24. T.C.L.G. Sollner, P.E. Tannenwald, D.D. Peck, W.D. Goodhue: Appl. Phys. Lett. 45, 1319 (1984)

    Article  Google Scholar 

  25. F. Capasso, R.A. Kiehl: J. Appl. Phys. 58, 1366 (1985)

    Article  Google Scholar 

  26. F. Capasso, S. Sen, A.C. Gossard, A.L. Hutchinson, J.E. English: Ieee Edl 7, 573 (1986)

    Article  Google Scholar 

  27. M. Jonson: In: Quantum Transport in Semiconductors ed. by D.K. Ferry, C. Jakoboni (Plenum, New York 1991 ) p. 193

    Google Scholar 

  28. B.D. McCombe, A. Petrou: In: Handbook on Semiconductors ed. by T.S. Moss, M. Balkanski (Elsevier, Amsterdam 1994) Vol.2, p.285 ff

    Google Scholar 

  29. T.P. Pearsall, J.M. Vandenberg, R. Hall, J. Bonar: Phys. Rev. Lett. 63, 2104 (1989)

    Article  Google Scholar 

  30. F.H. Pollak: In: Handbook on Semiconductors ed. by T.S. Moss (Elsevier, Amsterdam 1994 ) Vol. 2, p. 527

    Google Scholar 

  31. W. Wegscheider, J. Olajos, U. Menczigar, W. Dondl, G. Abstreiter: J. Crystal Growth 123, 75 (1992)

    Article  Google Scholar 

  32. G. Abstreiter, J. Olajos, R. Schorer, P. Vogl, W. Wegscheider: Semicond. Sci. Technol. 8, S6 (1993)

    Article  Google Scholar 

  33. J. Allegre, J. Calayud, B. Gil, H. Mathieu, H. Tuffigo, G. Lentz, N. Magnea, H. Mariette: Phys. Rev. B 41, 8195 (1990)

    Article  Google Scholar 

  34. G.H. Döhler: Phys. Status. Solidi (b) 53, 73–533 (1972)

    Article  Google Scholar 

  35. K.K. Choi, B.F. Levine, R.J. Malik, J. Walker, C.G. Bethea: Phys. Rev. B 35, 4172 (1987)

    Article  Google Scholar 

  36. G.H. Wannier: Elements of Solid State Theory ( Cambridge UnivPress, Cambridge England 1959 )

    Google Scholar 

  37. G.H. Wannier: Rev. Mod. Phys. 34, 645 (1962)

    Article  Google Scholar 

  38. G.H. Wannier: Phys. Rev. 181, 1364 (1969)

    Article  Google Scholar 

  39. E.E. Mendez, G. Bastard: Phys. Today 46, 34 (1993)

    Article  Google Scholar 

  40. J.B. Krieger, G.J. Iafrate: Phys. Rev. B 33, 5494 (1986)

    Article  Google Scholar 

  41. J. Feldmann: Festkörperprobleme/Advances in Solid State Physics 32, 81 (Vieweg, Braunschweig 1992) ed. by U. Rössler

    Google Scholar 

  42. G. Bastard, R. Ferreira: C.R. Acad. Sci. Paris 312 (II) 971 (1991)

    Google Scholar 

  43. P.N. Argyres, S. Sfiat: J. Phys. Cond. Matter 2, 7089 (1990)

    Article  Google Scholar 

  44. L.D. Landau: Z. Physik 64, 629 (1930)

    Article  Google Scholar 

  45. O. Madelung: Festkörper-Probleme V, 87 ( Vieweg, Braunschweig 1960 )

    Google Scholar 

  46. R.G. Chambers: Can. J. Phys. 34, 1395 (1956)

    Article  Google Scholar 

  47. G. Bauer, H. Kahlert: Phys. Rev. B 5, 566 (1972)

    Article  Google Scholar 

  48. G. Bauer, H. Kahlert: Proc. Int’1 Conf. Phys. Semicond., Cambridge MA, 1970 (USAEC, Oak Ridge, TN 1970 ) p. 65

    Google Scholar 

  49. L. Shubnikov, W.J. de Haas: Leiden Commun. 207a, 207c, 207d, 210a (1930)

    Google Scholar 

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

    Article  Google Scholar 

  51. L.I. Schiff: Quantum Mechanics ( McGraw-Hill, New York 1968 ) p. 441

    Google Scholar 

  52. M. Cardona: J. Phys. Chem. Solids 24, 1543 (1963)

    Article  Google Scholar 

  53. R.B. Dingle: Proc. Roy. Soc. London A 211, 517 (1952)

    Article  Google Scholar 

  54. R.A. Isaacson, F. Bridges: Solid State Commun. 4, 635 (1966)

    Article  Google Scholar 

  55. G. Bauer, H. Kahlert: Phys. Lett. 41, A351 (1972)

    Article  Google Scholar 

  56. L.M. Roth, P.N. Argyres: Semiconductors and Semimetals 1, 159 (Academic, New York 1966) (review)

    Google Scholar 

  57. S.M. Puri, T.H. Geballe: Semiconductors and Semimetals 1, 203 (Academic, New York 1966) (thermomagnetic effects)

    Google Scholar 

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

    Google Scholar 

  59. R.A. Smith: The Physical Principles of Thermodynamics ( Chapman and Hall, London 1952 ) p. 154

    Google Scholar 

  60. R.A. Smith: Wave Mechanics of Crystalline Solids ( Chapman and Hall, London 1961 ) p. 384

    Google Scholar 

  61. J.M. Ziman: Principles of the Theory of Solids (Cambridge Univ. Press, Cambridge 1964 )

    Google Scholar 

  62. D. Shoenberg: In: The Physics of Metals 1. Electrons, ed. by J.M. Ziman ( Cambridge Univ Press, Cambridge 1969 )

    Google Scholar 

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

    Article  Google Scholar 

  64. R.W. Keyes, R.J. Sladek: J. Phys. Chem. Solids 1, 143 (1956)

    Article  Google Scholar 

  65. E.H. Putley: Proc. Phys. Soc. London 76, 802 (1960)

    Article  Google Scholar 

  66. E.H. Putley: J. Phys. Chem. Solids 22, 241 (1961)

    Article  Google Scholar 

  67. L.J. Neuringer: Proc. Intl Conf. Phys. Semicond., Moscow 1968 (Nauka, Leningrad 1968 ) p. 715

    Google Scholar 

  68. E.H. Putley: Semiconductors and Semimetals 1, 289 ( Academic, New York 1966 )

    Google Scholar 

  69. E.H. Putley: Phys. Status Solidi 6, 571 (1964)

    Article  Google Scholar 

  70. E.R. Brown, M.J. Wengler, T.G. Phillips: J. Appl. Phys. 58, 2051 (1985)

    Article  Google Scholar 

  71. V.L. Gurevich, Yu.A. Firsov: Zh. Eksp. Teor. Fiz. 40, 199 (1961)

    Google Scholar 

  72. V.L. Gurevich, Yu.A. Firsov: Engl. transi. Soy. Phys. JETP 13, 137 (1961)

    Google Scholar 

  73. M.I. Klinger: Fiz. Tverd. Tela 3, 1342 (1961)

    Google Scholar 

  74. M.I. Klinger: Engl. transi. Soy. Phys. Solid State 3, 974 (1961)

    Google Scholar 

  75. Yu.A. Firsov, V.L. Gurevich, R.V. Parfeniev, S.S. Shalyt: Phys. Rev. Lett. 12, 660 (1964)

    Article  Google Scholar 

  76. A.L. Efros: Fiz. Tverd. Tela 3, 2848 (1961)

    Google Scholar 

  77. A.L. Efros: Engl. transi. Sov. Phys. Solid State 3, 2079 (1962)

    Google Scholar 

  78. L. Eaves, R.A. Stradling, R.A. Wood: Proc. Int’l Conf. Phys. Semicond., Cambridge MA, 1970, ed. by S.P. Keller, J.C. Hensel, F. Stern ( USAEC, Oak Ridge, TN 1970 ) p. 816

    Google Scholar 

  79. V.L. Gurevich, Yu.A. Firsov: Zh. Eksp. Teor. Fiz. 47, 734 (1964)

    Google Scholar 

  80. V.L. Gurevich, Yu.A. Firsov: Engl. transi. Soy. Phys. Jetp 20, 489 (1964)

    Google Scholar 

  81. R.A. Stradling, R.A. Wood: J. Physique C 1, 1711 (1968)

    Article  Google Scholar 

  82. A.L. Mears, R.A. Stradling, E.K. Mall: J. Physique C 1, 821 (1968)

    Article  Google Scholar 

  83. R.A. Reynolds: Solid State Electron. 11, 385 (1968)

    Article  Google Scholar 

  84. R.A. Wood, R.A. Stradling, I.P. Molodyan: J. Phys. Paris C 3, L154 (1970)

    Google Scholar 

  85. S.M. Puri, T.H. Geballe: Semiconductors and Semimetals 1, 203 ( Academic, New York 1966 )

    Google Scholar 

  86. J. Bardeen, L.N. Cooper, J.R. Schrieffer: Phys. Rev. 108, 1157 (1957)

    Article  Google Scholar 

  87. J.R. Tucker: Ieee J. Qe 15, 1234 (1979)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Seeger, K. (1997). Quantum Effects in Transport Phenomena. In: Semiconductor Physics. Springer Series in Solid-State Sciences, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03347-0_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-03347-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78064-9

  • Online ISBN: 978-3-662-03347-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics