Skip to main content

Electrical Conduction in Metals and Semiconductors

  • Reference work entry
Springer Handbook of Electronic and Photonic Materials

Part of the book series: Springer Handbooks ((SHB))

Abstract

Electrical transport through materials is a large and complex field, and in this chapter we cover only a few aspects that are relevant to practical applications. We start with a review of the semi-classical approach that leads to the concepts of drift velocity, mobility and conductivity, from which Matthiessenʼs Rule is derived. A more general approach based on the Boltzmann transport equation is also discussed. We review the conductivity of metals and include a useful collection of experimental data. The conductivity of nonuniform materials such as alloys, polycrystalline materials, composites and thin films is discussed in the context of Nordheimʼs rule for alloys, effective medium theories for inhomogeneous materials, and theories of scattering for thin films. We also discuss some interesting aspects of conduction in the presence of a magnetic field (the Hall effect). We present a simplified analysis of charge transport in semiconductors in a high electric field, including a modern avalanche theory (the theory of “lucky” drift). The properties of low-dimensional systems are briefly reviewed, including the quantum Hall effect.

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 399.00
Price excludes VAT (USA)
  • Available as EPUB and 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

Abbreviations

2DEG:

two-dimensional electron gas

DOS:

density of states

EM:

electromagnetic

EMA:

effective media approximation

LD:

laser diodes

LD:

lucky drift

PC:

photoconductive

TCR:

temperature coefficient of resistance

References

  1. P. L. Rossiter: The Electrical Resisitivity of Metals and Alloys (Cambridge Univ. Press, Cambridge 1987)

    Book  Google Scholar 

  2. J. S. Dugdale: The Electrical Properties of Metals and Alloys (Arnold, London 1977)

    Google Scholar 

  3. B. R. Nag: Theory of Electrical Transport in Semicondnuctors (Pergamon, Oxford 1972)

    Google Scholar 

  4. F. J. Blatt: Physics of Electronic Conduction in Solids (McGraw-Hill, New York 1968) Chap. 5, 6

    Google Scholar 

  5. S. O. Kasap: Principles of Electronic Materials and Devices, 3 edn. (McGraw-Hill, New York 2005)

    Google Scholar 

  6. G. T. Dyos, T. Farrell (Eds.): Electrical Resistivity Handbook (Peregrinus, London 1992)

    Google Scholar 

  7. D. G. Fink, D. Christiansen (Eds.): Electronics Engineersʼ Handbook, 2 edn. (McGraw-Hill, New York 1982) Section 6

    Google Scholar 

  8. L. Nordheim: Ann. Phys. 9, 664 (1931)

    Google Scholar 

  9. J. K. Stanley: Electrical and Magnetic Properties of Metals (American Society for Metals, Metals Park 1963)

    Google Scholar 

  10. M. Hansen, K. Anderko: Constitution of Binary Alloys, 2 edn. (McGraw-Hill, New York 1985)

    Google Scholar 

  11. H. E. Ruda: J. Appl. Phys. 59, 1220 (1986)

    Article  CAS  Google Scholar 

  12. M. Lundstrom: Fundamentals of Carrier Transport (Cambridge Univ. Press, Cambridge 2000)

    Book  Google Scholar 

  13. R. H. Bube: Electronic Properties of Crystalline Solids (Academic, New York 1974) Chap. 7

    Google Scholar 

  14. S. Riedel, J. Röber, T. Geßner: Microelectron. Eng., 33, 165 (1997)

    Google Scholar 

  15. A. F. Mayadas, M. Shatzkes: Phys. Rev. B, 1, 1382 (1970)

    Google Scholar 

  16. J.-W. Lim, K. Mimura, M. Isshiki: Appl. Surf. Sci. 217, 95 (2003)

    Article  CAS  Google Scholar 

  17. C. R. Tellier, C. R. Pichard, A. J. Tosser: J. Phys. F, 9, 2377 (1979) (and references therein)

    Google Scholar 

  18. K. Fuchs: Proc. Camb. Philos. Soc., 34, 100 (1938)

    Google Scholar 

  19. E. H. Sondheimer: Adv. Phys., 1, 1 (1952)

    Google Scholar 

  20. H.-D. Liu, Y.-P. Zhao, G. Ramanath, S. P. Murarka, G.-C. Wang: Thin Solid Films 384, 151 (2001)

    Article  CAS  Google Scholar 

  21. R. Suri, A. P. Thakoor, K. L. Chopra: J. Appl. Phys., 46, 2574 (1975)

    Google Scholar 

  22. R. H. Cornely, T. A. Ali: J. Appl. Phys., 49, 4094 (1978)

    Google Scholar 

  23. J. S. Ahn, K. H. Kim, T. W. Noh, D. H. Riu, K. H. Boo, H. E. Kim: Phys. Rev. B, 52, 15244 (1995)

    Google Scholar 

  24. R. J. Gehr, G. L. Fisher, R. W. Boyd: J. Opt. Soc. Am. B, 14, 2310 (1997)

    Google Scholar 

  25. D. E. Aspnes, J. B. Theeten, F. Hottier: Phys. Rev. B, 20, 3292 (1979)

    Google Scholar 

  26. Z. Yin, F. W. Smith: Phys. Rev. B, 42, 3666 (1990)

    Google Scholar 

  27. M. F. MacMillan, R. P. Devaty, W. J. Choyke, D. R. Goldstein, J. E. Spanier, A. D. Kurtz: J. Appl. Phys., 80, 2412 (1996)

    Google Scholar 

  28. C. Ganter, W. Schirmacher: Phys. Status Solidi B, 218, 71 (2000)

    Google Scholar 

  29. R. Stognienko, Th. Henning, V. Ossenkopf.: Astron. Astrophys. 296, 797 (1995)

    CAS  Google Scholar 

  30. A. G. Rojo, H. E. Roman: Phys. Rev. B, 37, 3696 (1988)

    Google Scholar 

  31. J. A. Reynolds, J. M. Hough: Proc. Phys. Soc., 70, 769 (1957)

    Google Scholar 

  32. R. Clausius: Die Mechanische Wärmetheorie, Vol. 2 (Wieveg, Braunschweig 1879)

    Google Scholar 

  33. L. Lorenz: Ann. Phys. Lpz., 11, 70 (1880)

    Google Scholar 

  34. O. F. Mosotti: Mem. Math. Fisica Modena II, 24, 49 (1850)

    Google Scholar 

  35. V. I. Odelevskii: Zh. Tekh. Fiz., 6, 667 (1950)

    Google Scholar 

  36. Lord Rayleigh: Philos. Mag., 34, 481 (1892)

    Google Scholar 

  37. K. W. Wagner: Arch. Electrochem., 2, 371 (1914)

    Google Scholar 

  38. D. A. G. Bruggeman: Ann. Phys. Lpz. 24, 636 (1935)

    Article  CAS  Google Scholar 

  39. C. J. F. Bottcher: Rec. Trav. Chim. Pays-Bas 64, 47 (1945)

    Article  CAS  Google Scholar 

  40. H. Fricke: Phys. Rev. 24, 575 (1924)

    Article  CAS  Google Scholar 

  41. D. Polder, J. M. Van Santen: Physica 12, 257 (1946)

    Article  Google Scholar 

  42. W. Niesel: Ann. Phys. Lpz. 10, 336 (1952)

    Article  CAS  Google Scholar 

  43. J. A. Stratton: Electromagnetic Theory (McGraw-Hill, New York 1941)

    Google Scholar 

  44. O. Wiener: Abh. Sachs. Ges. Akad. Wiss. Math. Phys. 32, 509 (1912)

    Google Scholar 

  45. L. Silberstein: Ann. Phys. Lpz. 56, 661 (1895)

    Google Scholar 

  46. O. Wiener: Abh. Sachs. Ges. Akad. Wiss. Math. Phys. 32, 509 (1912)

    Google Scholar 

  47. R. W. Sillars: J. Inst. Elect. Eng. 80, 378 (1937)

    Google Scholar 

  48. F. Ollendorf: Arch. Electrochem. 25, 436 (1931)

    Article  Google Scholar 

  49. J. C. M. Maxwell-Garnett: Phil. Trans. R. Soc. Lond. 203, ,385 (1904)

    Article  Google Scholar 

  50. H. Looyenga: Physica 31, 401 (1965)

    Article  CAS  Google Scholar 

  51. J. Monecke: J. Phys. Condens. Mat. 6, 907 (1994)

    Article  CAS  Google Scholar 

  52. C. F. Bohren, D. R. Huffman: Absorption and Scattering of Light by Small Particles (Wiley, New York 1983)

    Google Scholar 

  53. P. Y. Yu, M. Cardona: Fundamentals of Semiconductors (Springer, Berlin, Heidelberg 1996)

    Google Scholar 

  54. M. Akiyama, M. Hanada, H. Takao, K. Sawada, M. Ishida: Jpn. J. Appl. Phys 41, 2552 (2002)

    Article  CAS  Google Scholar 

  55. K. Tsuji, Y. Takasaki, T. Hirai, K. Taketoshi: J. Non-Cryst. Solids 14, 94 (1989)

    Article  Google Scholar 

  56. G. Juska, K. Arlauskas: Phys. Status Solidi 77, 387 (1983)

    Article  CAS  Google Scholar 

  57. R. A. Logan, H. G. White: J. Appl. Phys. 36, 3945 (1965)

    Article  CAS  Google Scholar 

  58. R. Ghin, J. P. R. David, S. A. Plimmer, M. Hopkinson, G. J. Rees, D. C. Herbert, D. R. Wight: IEEE Trans. Electron Dev. ED45, 2096 (1998)

    Article  Google Scholar 

  59. S. A. Plimmer, J. P. R. David, R. Grey, G. J. Rees: IEEE Trans. Electron Dev. ED47, 21089 (2000)

    Google Scholar 

  60. L. W. Cook, G. E. Bulman, G. E. Stillma: Appl. Phys. Lett. 40, 589 (1982)

    Article  CAS  Google Scholar 

  61. C. A. Lee, R. A. Logan, R. L. Batdorf, J. J. Kleimack, W. Wiegmann: Phys. Rev. 134, B766 (1964)

    Google Scholar 

  62. C. Bulutay: Semicond. Sci. Technol. 17, L59 (2002)

    Article  CAS  Google Scholar 

  63. G. Juska, K. Arlauskas: Phys. Status Solidi 59, 389 (1980)

    Article  CAS  Google Scholar 

  64. W. Shockley: Solid State Electron. 2, 35 (1961)

    Article  Google Scholar 

  65. G. A. Baraff: Phys. Rev. 128, 2507 (1962)

    Article  Google Scholar 

  66. B. K. Ridley: J. Phys. C 16, 4733 (1983)

    Article  CAS  Google Scholar 

  67. M. G. Burt: J. Phys. C 18, L477 (1985)

    Article  CAS  Google Scholar 

  68. S. MacKenzie, M. G. Burt: Semicond. Sci. Technol. 2, 275 (1987)

    Article  Google Scholar 

  69. B. K. Ridley: Semicond. Sci. Technol. 2, 116 (1987)

    Article  CAS  Google Scholar 

  70. J. S. Marsland: Solid State Electron. 30, 125 (1987)

    Article  CAS  Google Scholar 

  71. J. S. Marsland: Semicond. Sci. Technol. 5, 177 (1990)

    Article  CAS  Google Scholar 

  72. S. O. Kasap, J. A. Rowlands, S. D. Baranovskii, K. Tanioka: J. Appl. Phys. 96, 2037 (2004)

    Article  CAS  Google Scholar 

  73. W. Walukiewicz, H. E. Ruda, J. Lagowski, H. C. Gatos: Phys. Rev. B 30, 4571 (1984)

    Article  CAS  Google Scholar 

  74. K. V. Klitzing, G. Dorda, M. Pepper: Phys. Rev. Lett. 45, 494 (1980)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Safa Kasap Prof. , Cyril Koughia Ph.D. , Harry Ruda Prof. or Robert Johanson Prof. .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag

About this entry

Cite this entry

Kasap, S., Koughia, C., Ruda, H., Johanson, R. (2006). Electrical Conduction in Metals and Semiconductors. In: Kasap, S., Capper, P. (eds) Springer Handbook of Electronic and Photonic Materials. Springer Handbooks. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-29185-7_2

Download citation

Publish with us

Policies and ethics