Skip to main content

Quantum Transport in Solids: The Density Matrix

  • Chapter
Quantum Transport in Semiconductors

Part of the book series: Physics of Solids and Liquids ((PSLI))

  • 587 Accesses

Abstract

During the past decade, as microelectronics technology has continued to pursue the scaling down of IC device dimensions into the submicron and ultrasubmicron regions, many new and interesting questions have emerged(1) concerning the solid state dynamics and quantum transport of carriers in semiconductors subjected to rapidly varying, spatially inhomogeneous electric fields, and non-steady-state temporal conditions.

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

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. G. J. Iafrate, in: Gallium Arsenide Technology (D. K. Ferry, ed.), Ch. 12, Sams, Indianapolis (1985).

    Google Scholar 

  2. W. Kohn and J. M. Luttinger, Phys. Rev. 108, 590 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. P. N. Argyres, J. Phys. Chem. Solids 19, 66 (1961).

    Article  ADS  Google Scholar 

  4. P. J. Price, IBM J. Res. Dev. 10, 395 (1966).

    Article  MATH  Google Scholar 

  5. A. Hasegawa and J. Yamashita, J. Phys. Chem. Solids 23, 875 (1962).

    Article  ADS  Google Scholar 

  6. I. B. Levinson, Zh. Eksp. Teor. Fiz. 30,660 (1969) [Soy. Phys. JETP 30, 362 (1970)].

    Google Scholar 

  7. J. R. Barker, J. Phys. C 6,2663 (1973); in: Physics of Non-Linear Transport in Semiconductors, Plenum, New York (1979).

    Google Scholar 

  8. D. Calecki and N. Porrier, J. Phys. (Paris) Colloq. 42, C7–271 (1981). N. Pottier and D. Calecki, Physica 110A, 471 (1982).

    Google Scholar 

  9. W. V. Houston, Phys. Rev. 57, 184 (1940).

    Article  MathSciNet  ADS  Google Scholar 

  10. C. Zener, Prot R. Soc. London 145, 523 (1934).

    Article  ADS  Google Scholar 

  11. J. B. Krieger and G. J. Iafrate, Physica 134B, 228 (1985); Phys. Rev. B 33, 5494 (1986).

    Google Scholar 

  12. G. H. Wannier, Rev. Mod Phys. 34, 645 (1962); J. ZAK, Phys. Rev. Lett 20, 1477 (1968); G. H. Wannier, Phys. Rev. 181, 1364 (1969); J. ZAK, Phys. Rev. 181, 1366 (1969).

    Google Scholar 

  13. G. J. Iafrate and J. B. Krieger, Bull. Am. Phys. Soc S13–3, 814 (1988).

    Google Scholar 

  14. J. B. Krieger and G. J. Iafrate, Phys. Rev. B 33, 5494 (1986).

    Article  ADS  Google Scholar 

  15. J. B. Krieger and G. J. Iafrate, Phys. Rev. B 35, 9644 (1987).

    Article  ADS  Google Scholar 

  16. G. J. Iafrate and J. B. Krieger, Solid-State Electronics 31, 517 (1988).

    Article  ADS  Google Scholar 

  17. G. F. Koster and J. C. Slater, Phys. Rev. 95, 1167 (1954).

    Article  ADS  MATH  Google Scholar 

  18. J. G. Gay and J. R. Smith, Phys. Rev. B 11, 4906 (1975).

    Article  ADS  Google Scholar 

  19. G. H. Wannier, Phys. Rev. 52, 191 (1937).

    Article  ADS  Google Scholar 

  20. J. M. Ziman, Principles of the Theory of Solids, Cambridge University Press, Cambridge (1964).

    MATH  Google Scholar 

  21. G. J. Iafrate and J. B. Krieger, to be published.

    Google Scholar 

  22. P. T. Landberg, Solid State Theory—Methods and Applications, Wiley-Interscience, New York (1969).

    Google Scholar 

  23. E. O. Kane, J. Phys. Chem. Solids 12, 181 (1959).

    Article  ADS  Google Scholar 

  24. J. B. Krieger, Phys. Rev. 156, 776 (1967).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

lafrate, G.J. (1992). Quantum Transport in Solids: The Density Matrix. In: Ferry, D.K., Jacoboni, C. (eds) Quantum Transport in Semiconductors. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2359-2_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-2359-2_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-43853-0

  • Online ISBN: 978-1-4899-2359-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics