Skip to main content
SpringerLink
Log in

Scattering Processes in a Spherical One-Valley Model

  • Chapter
Semiconductor Physics

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

Abstract

In Chap. 4 we frequently assumed an energy dependence of the momentum relaxation time τm ∝ εr, where r is a constant, for the calculation of the galvanomagnetic, thermoelectric, thermomagnetic, etc., effects. We will now treat the important scattering mechanisms and find the energy dependence of τm. For those cases where a power law is found, the magnitude of the exponent r will be determined.

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 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.I. Schiff: Quantum Mechanics, 3rd edn. ( McGraw-Hill, New York 1968 )

    Google Scholar 

  2. H.S.W. Massey, E.H.S. Burhop: Electronic and Ionic Impact Phenomena, Vol. 1 ( Clarendon, Oxford 1969 )

    Google Scholar 

  3. C. Ramsauer: Ann. Phys. 64, 513 (1921)

    Google Scholar 

  4. C. Ramsauer: Ann. Phys. 66, 545 (1921)

    Google Scholar 

  5. C. Erginsoy: Phys. Rev. 79, 1013 (1950)

    Google Scholar 

  6. S.H. Koenig, R.D. Brown, W. Schillinger: Phys. Rev. 128, 1668 (1962)

    Google Scholar 

  7. E. Otsuka, K. Murase, J. Iseki: J. Phys. Soc. Jpn. 21, 1104 (1966)

    Google Scholar 

  8. C. Schwartz: Phys. Rev. 124, 1468 (1961)

    Google Scholar 

  9. M. Rotenberg: Ann. Phys. 19, 262 (1962)

    Google Scholar 

  10. M. Pomerantz: Proc. Ieee 53, 1438 (1965)

    Google Scholar 

  11. E. Fermi: Nuclear Physics (Univ. Chicago Press, Chicago 1950 ) p. 142

    Google Scholar 

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

    Google Scholar 

  13. H. Brooks: In Advances in Electronics and Electron Physics, Vol. 7, ed. by L. Marton ( Academic, New York 1955 ) p. 85

    Google Scholar 

  14. H. Brooks: Phys. Rev. 83, 879 (1951)

    Google Scholar 

  15. E. Conwell, V.F. Weisskopf: Phys. Rev. 77, 388 (1950)

    Google Scholar 

  16. F.J. Blatt: J. Phys. Chem. Solids 1, 262 (1957)

    Google Scholar 

  17. F.J. Blatt: Solid State Physics 4, 199 (Academic, New York 1957) ed. by F. Seitz, D. Turnbull

    Google Scholar 

  18. D. Long, C.D. Motchenbacher, J. Myers: J. Appl. Phys. 30, 353 (1959)

    Google Scholar 

  19. L.M. Falicov, M. Cuevas: Phys. Rev. 164, 1025 (1967)

    Google Scholar 

  20. D. Kranzer, E. Gornik: Solid State Commun. 9, 1541 (1971)

    Google Scholar 

  21. J.B. Krieger, T. Meeks: Phys. Rev. B 8, 2780 (1973)

    Google Scholar 

  22. D. Chattopadhyay, H.J. Queisser: Rev. Mod. Phys. 53, 745 (1981)

    Google Scholar 

  23. J. Bardeen, W. Shockley: Phys. Rev. 80, 72 (1950)

    Google Scholar 

  24. R. Peierls: Ann. Phys. (Leipzig) 12, 154 (1932)

    Google Scholar 

  25. A.H. Wilson: The Theory of Metals (Cambridge Univ. Press, London 1965 ) pp. 255–298

    Google Scholar 

  26. R.F. Greene: J. Electron. Control 3, 387 (1957)

    Google Scholar 

  27. W. Szymanska, J.P. Maneval: Solid State Commun. 8, 879 (1970)

    Google Scholar 

  28. W. Shockley: Bell Syst. Tech. J. 30, 990 (1951)

    Google Scholar 

  29. K.J. Schmidt-Tiedemann: Festkörperprobleme 1, 122 ( Vieweg, Braunschweig 1962 )

    Google Scholar 

  30. M. Abramowitz, I.A. Stegun: Handbook of Mathematical Functions ( Dover, New York 1968 )

    Google Scholar 

  31. P.P. Debye, E.M. Conwell: Phys. Rev. 93, 693 (1954)

    Google Scholar 

  32. I. Adawi: Phys. Rev. 120, 118 (1960)

    Google Scholar 

  33. K. Seeger: Z. Physik 156, 582 (1959)

    Google Scholar 

  34. M.S. Sodha: Phys. Rev. 107, 1266 (1957)

    Google Scholar 

  35. K Seeger: Z. Physik 244, 439 (1971)

    Google Scholar 

  36. G. Tschulena: Acta Phys. Austriaca 33, 42 (1971)

    Google Scholar 

  37. G. Tschulena, R. Keil: Phys. Status Solidi (b) 49, 191 (1972)

    Google Scholar 

  38. M. Lannoo, J. Bourgoin: Point Defects in Semiconductors I, Springer Ser. Solid State Sci., Vol. 22 ( Springer, Berlin, Heidelberg 1981 )

    Google Scholar 

  39. W.W. Tyler, H.H. Woodbury: Phys. Rev. 102, 647 (1956)

    Google Scholar 

  40. D.M. Brown, R. Bray: Phys. Rev. 127, 1593 (1962)

    Google Scholar 

  41. P.M. Eagles, D.M. Edwards; Phys. Rev. 138, A1706 (1965)

    Google Scholar 

  42. C. Herring, E. Vogt: Phys. Rev. 101, 944 (1956)

    Google Scholar 

  43. A.R. Hutson: J. Appl. Phys. Suppl. 32, 2287 (1961)

    Google Scholar 

  44. H.J.G. Meyer, D. Polder: Physica 19, 255 (1953)

    Google Scholar 

  45. Sh.M. Kogan: Fiz. Tverd. Tela 4, 2474 (1962)

    Google Scholar 

  46. Sh.M. Kogan: Engl. transi.: Sov. Phys. Solid State 4, 1813 (1963)

    Google Scholar 

  47. J.D. Zook: Phys. Rev. 136, A869 (1964)

    Google Scholar 

  48. R.S. Crandall: Phys. Rev. 169, 577, 585 (1968)

    Google Scholar 

  49. P. Brüesch: Phonons: Theory and Experiments I—III, Springer Ser. Solid-State Sci., Vols. 34, 65, 66 (Springer, Berlin Heidelberg 1982, 1986, 1987 )

    Google Scholar 

  50. H. Bilz, W. Kress: Phonon Dispersion Relations in Insulators, Springer Ser. Solid-State Sci., Vol. 10 ( Springer, Berlin, Heidelberg 1979 )

    Google Scholar 

  51. M. Cardona (ed.): Light Scattering in Solids, 2nd edn., Topics Appl. Phys., Vol. 8 ( Springer, Berlin, Heidelberg 1982 )

    Google Scholar 

  52. M. Cardona, G. Güntherodt (eds.): Light Scattering in Solids II—V, Topics Appl. Phys., Vols. 50, 51, 54, 66 and 68 (Springer, Berlin, Heidelberg 1982, 1984, 1988, 1991 )

    Google Scholar 

  53. S.W. Lovesey, T. Springer (ed.): Dynamics of Solids and Liquids by Neutron Scattering, Topics Current Phys., Vol. 3 ( Springer, Berlin, Heidelberg 1977 )

    Google Scholar 

  54. B. Dörner: Coherent Inelastic Neutron Scattering in Lattice Dynamics, Springer Tracts Mod. Phys., Vol. 93 ( Springer, Berlin, Heidelberg 1982 )

    Google Scholar 

  55. I. Pelah, C.M. Eisenhauer, D.J. Hughes, H. Palevsky: Phys. Rev. 108, 1091 (1957)

    Google Scholar 

  56. B.N. Brockhouse, H. Palevsky, D.J. Hughes, W. Kley, E. Tunkelo: Phys. Rev. Lett. 2, 258 (1959)

    Google Scholar 

  57. B.N. Brockhouse, P.K. lyengar: Phys. Rev. 111, 747 (1958)

    Google Scholar 

  58. G. Dolling, J.L.T. Waugh: In Lattice Dynamics, ed. by R.F. Wallis ( Pergamon, London 1965 ) p. 19

    Google Scholar 

  59. R.H. Lyddane, R.G. Sachs, E. Teller: Phys. Rev. 59, 673 (1941)

    Google Scholar 

  60. M. Born, K. Huang: Dynamical Theory of Crystal Lattices ( Clarendon, Oxford 1954 ) p. 82

    Google Scholar 

  61. H.B. Callen: Phys. Rev. 76, 1394 (1949)

    Google Scholar 

  62. B. Szigeti: Trans. Faraday Soc. 45, 155 (1949)

    Google Scholar 

  63. A.C. Beer: Solid State Physics 4, 286 ( Academic, New York 1963 )

    Google Scholar 

  64. R. Stratton: Proc. Roy. Soc. London A 246, 406 (1958)

    Google Scholar 

  65. R. Stratton: J. Phys. Soc. Jpn. 17, 590 (1962)

    Google Scholar 

  66. E.M. Conwell: Solid State Physics 9, Sects. V, VII (Academic, New York 1967 )

    Google Scholar 

  67. H.J.G. Meyer: Phys. Rev. 112, 298 (1958)

    Google Scholar 

  68. W. Pötz, P. Vogl: Phys. Rev. B 24, 1500 (1981)

    Google Scholar 

  69. W.A. Harrison: Phys. Rev. 104, 1281 (1956)

    Google Scholar 

  70. D.J. Howarth, E.H. Sondheimer: Proc. Roy. Soc. (London) A 219, 53 (1953)

    Google Scholar 

  71. H. Ehrenreich: J. Appl. Phys. Suppl. 32, 2155 (1961)

    Google Scholar 

  72. E.M. Conwell: Phys. Rev. 143, 657 (1966)

    Google Scholar 

  73. K. Hess, H. Kahlert: J. Phys. Chem. Solids 32, 2262 (1971)

    Google Scholar 

  74. F. Kuchar, A. Phillip, K. Seeger: Solid State Commun. 11, 965 (1972)

    Google Scholar 

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

    Google Scholar 

  76. H. Fröhlich, B.V. Paranjape: Proc. Phys. Soc. London B 69, 21 (1956)

    Google Scholar 

  77. H. Fröhlich: Proc. Roy. Soc. London A 160, 230 (1937)

    Google Scholar 

  78. H. Fröhlich: Adv. Phys. 3, 325 (1961)

    Google Scholar 

  79. K. Binder, D.W. Heerman: Monte Carlo Simulation in Statistical Physics, 2nd edn. Springer Ser. Solid-State Sci., Vol. 80 ( Springer, Berlin, Heidelberg 1992 )

    Google Scholar 

  80. K. Binder (ed.): Monte Carlo Methods in Statistical Physics, 2nd. edn., Topics Curr. Phys., Vol. 7 ( Springer, Berlin, Heidelberg 1986 )

    Google Scholar 

  81. K. Binder (ed.): Applications of the Monte Carlo Method in Statistical Physics, 2nd. edn., Topics curr. Phys., Vol. 36 ( Springer, Berlin, Heidelberg 1987 )

    Google Scholar 

  82. K. Binder (ed.): The Monte Carlo Method in Condensed Matter Physics, 2nd edn. Topics Appl. Phys. Vol. 71 ( Springer, Berlin, Heidelberg 1995 )

    Google Scholar 

  83. T. Kurosawa: Proc. Int’l Conf. Phys. Semicond, Kyoto 1966. J. Phys. Soc. Jpn. Suppl. 21, 424 (1966)

    Google Scholar 

  84. W. Fawcett, A.D. Boardmann, S. Swain: J. Phys. Chem. Solids 31, 1963 (1970)

    Google Scholar 

  85. H. Budd: Proc. Int’l Conf. Phys. Semicond. Kyoto 1966. J. Phys. Soc. Jpn. Suppl. 21, 420 (1966)

    Google Scholar 

  86. H.D. Rees: J. Phys. Chem. Solids 30, 643 (1969)

    Google Scholar 

  87. H.D. Rees: Ibm J. Res. Dev. 13, 537 (1969)

    Google Scholar 

  88. K. Seeger, H. Pötzl: Acta Phys. Austriaca, Suppl. X, 341 (1973)

    Google Scholar 

  89. O. Zimmer. Iterative Lösung der Boltzmann-Gleichung far het/3e Elektronen in InSb, Dissertion, TH Vienna Austria (1972)

    Google Scholar 

  90. O. Madelung: Introduction to Solid-State Physics, Springer Ser. Solid-State Sci., Vol. 2 ( Springer, Berlin, Heidelberg 1978 )

    Google Scholar 

  91. D.M. Larsen: Phys. Rev. 135, A419 (1964)

    Google Scholar 

  92. D.M. Larsen: Phys. Rev. 144, 697 (1966)

    Google Scholar 

  93. D.M. Larsen, E.J. Johnson: Proc. Int’l Conf. Phys. Semicond. Kyoto, 1966.

    Google Scholar 

  94. D.M. Larsen, E.J. Johnson: J. Phys. Soc. J.n. Suppl. 21, 443 (1966)

    Google Scholar 

  95. M. Mikkor, F.C. Brown: Phys. Rev. 162, 848 (1967)

    Google Scholar 

  96. J.W. Hodby, J.A. Borders, F.C. Brown: J. Phys. C 3, 335 (1970)

    Google Scholar 

  97. H. Ehrenreich: J. Phys. Chem. Solids 8, 130 (1959)

    Google Scholar 

  98. T. Holstein: Ann. Phys. NY 8, 325–343 (1959)

    Google Scholar 

  99. D. Emin: In Linear and Nonlinear Transport in Solids,ed. by J.T. Devrees, V.E. van Doren (Plenum, New York 1976) p.409 (review)

    Google Scholar 

  100. P. Nagels: In Amorphous Semiconductors, 2nd edn., ed. by M.H. Brodsky, Topics Appl. Phys., Vol. 36 ( Springer, Berlin, Heidelberg 1985 )

    Google Scholar 

  101. A.F.J. Levi, J.R. Hayes, P.M. Platzmann, W. Wiegmann: Phys. Rev. Lett. 55, 2071 (1985)

    Google Scholar 

  102. M. Heiblum, M.I. Nathan, D.C. Thomas, C.M. Knoedler: Phys. Rev. Lett. 55, 2200 (1985)

    Google Scholar 

  103. J.G. Ruch: IEEE Trans. ED-19, 652 (1972)

    Google Scholar 

  104. T.E. Bell: IEEE Spectrum 23, 36 (1986)

    Google Scholar 

  105. M. Heiblum, L.F. Eastman: Sci. Am. 256, 65 (1987)

    Google Scholar 

  106. J. Appel: Phys. Rev. 122, 1760 (1961)

    Google Scholar 

  107. R.T. Bate, R.D. Baxter, F.J. Reid, A.C. Beer: J. Phys. Chem. Solids 26, 1205 (1965)

    Google Scholar 

  108. M. Kohler: Z. Physik 124, 772 (1948)

    Google Scholar 

  109. M. Kohler: Z. Physik 125, 679 (1949)

    Google Scholar 

  110. E.H. Sondheimer: Proc. Roy. Soc. London A 203, 75 (1950)

    Google Scholar 

  111. T.P. McLean, E.G.S. Paige: J. Phys. Chem. Solids 16, 220 (1960)

    Google Scholar 

  112. V.L. Bonch-Bruyevich: The Electronic Theory of Heavily Doped Semiconductors ( American Elsevier, New York 1966 )

    Google Scholar 

  113. C.M. Wolfe, G. E. Stillman: Semiconductors and Semimetals 10, 135 (1974)

    Google Scholar 

  114. R.A. Abram, G.J. Rees, B.L.H. Wilson: Adv. Phys. 27, 799 (1978)

    Google Scholar 

  115. C. Yamanouchi, K. Mizuguchi, W. Sasaki: J. Phys. Soc. Jpn. 22, 859 (1967)

    Google Scholar 

  116. H. Fritzsche: J. Phys. Chem. Solids 6, 69 (1958)

    Google Scholar 

  117. W. Klein, D. Geist: Z. Physik 201, 411 (1967)

    Google Scholar 

  118. A. Miller, E. Abrahams: Phys. Rev. 120, 745 (1960)

    Google Scholar 

  119. B.I. Shklovskii, A.L. Efros: Electronic Properties of Doped Semiconductors, Springer Ser. Solid-State Sci., Vol. 45 ( Springer, Berlin Heidelberg 1984 )

    Google Scholar 

  120. M. Pollak, T.H. Geballe: Phys. Rev. 122, 1742 (1961)

    Google Scholar 

  121. J.P. McKelvey: Solid-State and Semiconductor Physics ( Harper and Row, New York 1966 )

    Google Scholar 

  122. J. Friedel: Dislocations ( Pergamon, Oxford 1964 )

    Google Scholar 

  123. S. Amelincks: In Solid State Physics, Supp1.6, ed. by F. Seitz, D. Turnbull ( Academic, New York 1964 )

    Google Scholar 

  124. G.L. Pearson, W.T. Read, Jr., F. J. Morin: Phys. Rev. 93, 93 (1954)

    Google Scholar 

  125. W. Schröter: Phys. Status Solidi 21, 211 (1967)

    Google Scholar 

  126. W. Schröter, R. Labusch: Phys. Status Solidi 36, 539 (1969)

    Google Scholar 

  127. W.T. Read, Jr.: Philos. Mag. 46, 111 (1955)

    Google Scholar 

  128. V.L. Bonch-Bruevich, Sh.M. Kogan: Fiz. Tverd. Tela 1, 1221 (1959)

    Google Scholar 

  129. V.L. Bonch-Bruevich, Sh.M. Kogan: Engl. transl. Soy. Phys. Solid-State 1, 1118 (1959)

    Google Scholar 

  130. B. Pödör: Acta Phys. Acad. Sci. Hung. 23, 393 (1967)

    Google Scholar 

  131. B. Pödör: Phys. Status Solidi 16, K167 (1966)

    Google Scholar 

  132. F. Düster, R. Labusch: Phys. Status Solidi (b) 60, 161 (1973)

    Google Scholar 

  133. J.H.P. van Weeren, R. Struikmans, J. Blok: Phys. Status Solidi 19, K107 (1967)

    Google Scholar 

  134. A.F. Gibson: J. Phys. Chem. Solids 8, 147 (1959)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Am Modenapark 13/5, A-1030, Wien, Austria

    Professor Dr. Karlheinz Seeger

  2. Institut für Materialphysik, Universität Wien, Boltzmanngasse 5, A-1090, Wien, Austria

    Professor Dr. Karlheinz Seeger

Authors
  1. Professor Dr. Karlheinz Seeger
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Seeger, K. (1997). Scattering Processes in a Spherical One-Valley Model. In: Semiconductor Physics. Springer Series in Solid-State Sciences, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03347-0_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-03347-0_6

  • 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

Search

Navigation