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Carrier Diffusion Processes

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Semiconductor Physics

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

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Abstract

The discussion of (4.10.8–11) has shown that a temperature gradient in a conductor yields a concentration gradient ∇ r n with the effect of a diffusion current j = - e D n r n, where D n is proportional to the electron mobility due to the Einstein relation (4.10.12). In this chapter we will investigate the diffusion of injected carriers in local variations in the type of doping, which is so typical for p-n junctions and transistors.

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References

  1. F. Stöckmann: Halbleiterprobleme VI, 279 (Vieweg, Braunschweig 1961)

    Google Scholar 

  2. R.B. Adler, A.C. Smith, R.L. Longini: Introduction to Semiconductor Physics (Wiley, New York 1964)

    Google Scholar 

  3. J.P. McKelvey: In Problems in Solid State Physics, ed. by H. Goldsmid (Academic, New York 1968) p.82

    Google Scholar 

  4. J.R. Haynes, W. Shockley: Phys. Rev. 81, 835 (1951)

    Article  CAS  Google Scholar 

  5. W. Schottky: Z. Phys. 118, 539 (1942)

    Article  CAS  Google Scholar 

  6. W. Shockley: Bell Syst. Tech. J. 28, 435 (1949)

    Google Scholar 

  7. C.T. Sah, R.N. Noyce, W. Shockley: Proc. IRE 45, 1228 (1957)

    Article  Google Scholar 

  8. S.M. Sze: Physics of Semiconductor Devices, 2nd ed. (Wiley, New York 1981) p.92

    Google Scholar 

  9. W. Pietenpol: Phys. Rev. 82, 120 (1951)

    Article  Google Scholar 

  10. D.V. Lang: J. Appl. Phys. 45, 3023 (1974)

    Article  CAS  Google Scholar 

  11. D.V. Lang: In Thermally Stimulated Relaxation in Solids, ed. by P. Bräunlich, Topics Appl. Phys., Vol.37 (Springer, Berlin, Heidelberg 1979) Chap.3

    Google Scholar 

  12. N.M. Johnson, D.J. Barteling, J.P. McVittie: J. Vac. Sci. Technol. 16, 1407 (1979)

    Article  CAS  Google Scholar 

  13. J. Frenkel: Tech. Phys. USSR 5, 685 (1938); Phys. Rev. 54, 647 (1938)

    Google Scholar 

  14. A.G. Milnes: Deep Impurities in Semiconductors (Wiley-Interscience, New York 1973) p.99 Impurities and Defects in Group IV Elements and III-V Compounds. LandoltBörnstein, Vol.22 Pt.b (Springer, Berlin, Heidelberg 1989)

    Google Scholar 

  15. J.L. Hartke: J. Appl. Phys. 39, 4871 (1968)

    Article  Google Scholar 

  16. W. Keller, K. Wünstel: Appl. Phys. A31, 9 (1983)

    Google Scholar 

  17. J.B. Gunn: J. Electron. Control 4, 17 (1958)

    Article  Google Scholar 

  18. J. Bardeen: Semiconductor Research Leading to the Point Contact Transistor; H. Brattain: Surface Properties of Semiconductors; W. Shockley: Transistor Technology Evokes New Physics, in Nobel Lectures “Physics”1942–1962 (Elsevier, Amsterdam 1964) pp.318–341; 377–384; 344–374

    Google Scholar 

  19. E. Braun, S. MacDonald: Revolution in Miniature (Cambridge Univ. Press, Cambridge 1978)

    Google Scholar 

  20. M.J. Morant: Introduction to Semiconductor Devices (Addison-Wesley, Reading MA 1964)

    Google Scholar 

  21. E.H. Rhoderick: Metal-Semiconductor Contacts (Clarendon, Oxford 1978)

    Google Scholar 

  22. K. Graff, H. Fischer: In Solar Energy Conversion, ed. by B.O. Seraphin, Topics Appl. Phys., Vol.31 (Springer, Berlin, Heidelberg, New York 1979)

    Google Scholar 

  23. J. Bardeen, W.H. Brattain: Phys. Rev. 74, 230 (1948)

    Article  Google Scholar 

  24. H.A. Gebbie, P.C. Banbury, C.A. Hogarth: Proc. Phys. Soc. London 63B, 371 (1950)

    Article  Google Scholar 

  25. F. Rosenberger: Fundamentals of Crystal Growth I, Springer Ser. Solid-State Sci., Vol.5 (Springer, Berlin, Heidelberg 1978)

    Google Scholar 

  26. M. Tanenbaum, D.G. Thomas: Bell Syst. Tech. J. 35, 1 (1956)

    Google Scholar 

  27. J.A. Hoerni: IRE Electron Devices Meeting, Washington DC (1960)

    Google Scholar 

  28. C.J. Frosch, L. Derrick: J. Electrochem. Soc. 104, 547 (1957)

    Article  CAS  Google Scholar 

  29. L.F. Thompson, R.E. Kerwin: Annu. Rev. Mater. Sci. 6, 267 (1976)

    Article  CAS  Google Scholar 

  30. R.A. Bartolini: In Holographic Recording Materials, ed. by H.M. Smith, Topics Appl. Phys., Vol.20 (Springer, Berlin, Heidelberg 1977) Chap.7

    Google Scholar 

  31. D.F. Barbe (ed.): Very Large Scale Integration VLSI, 2nd edn., Springer Ser. Electrophys., Vol.5 (Springer, Berlin, Heidelberg 1981)

    Google Scholar 

  32. Y. Tarui (ed.): VLSI Technology, Springer Ser. Electrophys., Vol.12 (Springer, Berlin, Heidelberg 1986)

    Google Scholar 

  33. E. Spiller, R. Feder:. In X-Ray Optics, ed. by H.J. Queisser, Topics Appl. Phys., Vol.22 (Springer, Berlin, Heidelberg 1977) Chap.3

    Google Scholar 

  34. G. Stengl, R. Kaitna, H. Löschner, P. Wolf, R. Sacher: J. Vac. Sci. Technol. 16, 1883 (1979)

    Article  CAS  Google Scholar 

  35. M. Schulz, G. Pensl (eds.): Insulating Films on Semiconductors, Springer Ser. Electrophys., Vol.7 (Springer, Berlin, Heidelberg 1981)

    Google Scholar 

  36. D.F. Barbe (ed.): Charge-Coupled Devices, Topics Appl. Phys., Vol.38 (Springer, Berlin, Heidelberg 1980)

    Google Scholar 

  37. S.R. Hofstein, F.P. Heiman: Proc. IEEE 51, 1190 (1963)

    Article  Google Scholar 

  38. M.M. Atalla, E. Tannenbaum, E.J. Scheibner: Bell Syst. Tech. J. 38, 749 (1959)

    Google Scholar 

  39. O.G. Folbert: IEEE J. SC 16, 51 (1981)

    Google Scholar 

  40. J.R. Barker: In Physics of Nonlinear Transport in Semiconductors, ed. by D.K. Ferry, J.R. Barker, C. Jacoboni (Plenum, New York 1980)

    Google Scholar 

  41. R.C. Eden, B.M. Welch, R. Zucca, S.I. Long: IEEE J: SC-14, 221 (1979)

    Google Scholar 

  42. R.C. Eden: Proc. IEEE 70, 5 (1982)

    Article  CAS  Google Scholar 

  43. H. Dember: Phys. Z. 32, 554, 856 (1931); ibid. 33, 207 (1932)

    CAS  Google Scholar 

  44. J. Frenkel: Nature 132, 312 (1933)

    Article  CAS  Google Scholar 

  45. W. van Roosbroeck: J. Appl. Phys. 26, 380 (1955)

    Article  Google Scholar 

  46. O. Madelung: Halbleiter, in Handbuch der Physik, Vol.XX, Elektrische Leitungsphänomene II, ed. by S. Flügge (Springer, Berlin, Göttingen 1957)

    Google Scholar 

  47. W. van Roosbroeck: Phys. Rev. 101, 1713 (1956)

    Article  Google Scholar 

  48. M.B. Prince: J. Appl. Phys. 26, 534 (1955)

    Article  Google Scholar 

  49. D.M. Chapin, C.S. Fuller, G.L. Pearson: J. Appl. Phys. 25, 676 (1954)

    Article  CAS  Google Scholar 

  50. B.O. Seraphin (ed.): Solar Energy Conversion, Topics Appl. Phys., Vol.31 (Springer, Berlin, Heidelberg 1979)

    Google Scholar 

  51. T.L. Chu, S.S. Chu, K.Y. Duh, H.I. Yoo: Proc. 12th IEEE Photovoltaic Specialists Conf. (IEEE, New York 1976) p.74

    Google Scholar 

  52. J.K. Hirvonen (ed.): Ion Implantation, Treatise Mater. Sci. Techn., Vol.18 (Academic, New York 1980)

    Google Scholar 

  53. C.W. White, P.S. Peercy (eds.): Laser and Electron Beam Processing of Materials (Academic, New York, 1980)

    Google Scholar 

  54. D.E. Carlson, C.R. Wronski: In Amorphous Semiconductors, 2nd edn., ed. by M.H. Brodsky, Topics Appl. Phys., Vol.36 (Springer, Berlin, Heidelberg, New York 1985)

    Google Scholar 

  55. D.E. Carlson, C.R. Wronski: J. Electron. Mater. 6, 95 (1977)

    Article  CAS  Google Scholar 

  56. K.W. Böer: In 2nd Photovoltaic Solar Energy Conf., ed. by R. Van Overstraeton, W. Palz (Reidel, Dordrecht 1979) p.671

    Chapter  Google Scholar 

  57. G.W. Cullen, C.C. Wang (eds.): Heteroepitaxial Semiconductors for Electron Devices (Springer, New York 1978) (review)

    Google Scholar 

  58. J. Javetski: Electronics (July 19, 1979) p.105 (review)

    Google Scholar 

  59. F.A. Shirland, P. Rai-Choudhury: Rep. Prog. Phys. 41, 1839 (1978)

    Article  CAS  Google Scholar 

  60. F.R. Kalhammer: Sci. Am. 241, 42 (1979)

    Article  Google Scholar 

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© 1991 Springer-Verlag Berlin Heidelberg

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Seeger, K. (1991). Carrier Diffusion Processes. In: Semiconductor Physics. Springer Series in Solid-State Sciences, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02663-2_5

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  • DOI: https://doi.org/10.1007/978-3-662-02663-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02665-6

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