Skip to main content

Electrons in a Periodic Crystal

  • Chapter
Semiconductor Optics
  • 4129 Accesses

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 109.00
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 to Chap. 8

  1. F. Bloch, Z. Physik, 52 555 (1928), ibid. 59 208 (1930)

    Article  CAS  Google Scholar 

  2. A. Sommerfeld, Z. Physik, 47 1 (1928)

    Article  CAS  Google Scholar 

  3. A.H. Wilson, Proc. Royal Soc. of London Series A 133 No 822, 458 (1931). This is an early example for the use of the term “semi-conductor” and gives a good list of references from the time, when the basics of electronic properties of solids in general and of semiconductors have been developped.

    CAS  Google Scholar 

  4. F.C. von der Lage and H.A. Bethe, Phys. Rev. 71, 612 (1947)

    Article  Google Scholar 

  5. E.O. Kane, J. Phys. Chem. Sol. 1, 249 (1957)

    Article  Google Scholar 

  6. P.W. Anderson, Phys. Rev. 109, 1492 (1958)

    Article  CAS  Google Scholar 

  7. Y. Varshni, Physica 34, 149 (1967)

    Article  CAS  Google Scholar 

  8. U. Rössler, Phys. Rev. 184, 733 (1969)

    Article  Google Scholar 

  9. O. Madelung, Grundlagen der Halbleiterphysik, Heidelberger Taschenbücher 71, Springer, Berlin (1970)

    Google Scholar 

  10. Amorphous and Liquid Semiconductors, J. Stuke and W. Brenig (eds.) Taylor and Trancis, London (1974) and (1990)

    Google Scholar 

  11. H. Fock, B. Kramer and H. Büttner, phys. stat. sol. b 67 199 (1975) and ibid. 72 155 (1975)

    CAS  Google Scholar 

  12. M.L. Cohen and J.R. Chelikowsky, Phys. Rev. B 14, 556 (1976)

    Article  Google Scholar 

  13. J. Pollmann and H. Büttner, Phys. Rev. B 16, 4480 (1977)

    Article  CAS  Google Scholar 

  14. S.D. Baranovskii and A.L. Efros, Sov. Phys. Semicond. 12, 1328 (1978)

    Google Scholar 

  15. N.F. Mott and E.A. Davies, Electronic Processes in Non-Crystalline Materials, 2nd edn., Clarendon, Oxford (1979)

    Google Scholar 

  16. H.R. Trebin, phys. stat. sol. (b) 92, 601 (1979)

    CAS  Google Scholar 

  17. J.M. Ziman, Models of Disorder, Cambridge Univ. Press, Cambridge (1979)

    Google Scholar 

  18. M. Matsuura and H. Büttner, Solid State Commun. 36, 81 (1980)

    Article  Google Scholar 

  19. B. Pertzsch and U. Rössler, phys. stat. sol. (b) 101, 197 (1980)

    CAS  Google Scholar 

  20. G. Blattner, et al., Phys. Rev. B 25, 7413 (1982)

    Article  CAS  Google Scholar 

  21. This topic can be nicely followed since 1990 in the Proceeding of the International Conferences on II-VI compounds, published so far in J. Crystal Growth 59 (1982), 72 (1985), 86 (1988), 101 (1990), 117 (1992), 138 (1994), 159 (1996), 184/185 (1998), 214/215 (2000), in phys. stat. sol b 229 (2002), and phys. stat. sol. c 1 Issue 4 (2004)

    Google Scholar 

  22. R. Zallen, Physics of Amorphous Solids, Wiley, New York (1983)

    Book  Google Scholar 

  23. G. Bergmann, Physics Reports 107, 1 (1984)

    Article  CAS  Google Scholar 

  24. W. Heywang, Amorphe and Polykristalline Halbleiter, Springer, Berlin (1984)

    Google Scholar 

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

    Google Scholar 

  26. The Physics of Hydrogenated Amorphous Silicon, J.D. Jonnopoulos (ed.) Springer, Berlin (1984)

    Google Scholar 

  27. M.P. Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985)

    Article  Google Scholar 

  28. B. Kramer, G. Bergmann and Y. Bruynserade (eds.), Localization, Interaction and Transport Phenomena, Springer Ser. Solid-State Sci. 61, Springer, Berlin, Heidelberg (1985)

    Google Scholar 

  29. D. Stauffer, Introduction to Percolation Theory, Taylor and Francis, London (1985)

    Google Scholar 

  30. P.E. Wolf and G. Maret, Phys. Rev. Lett. 55, 26969 (1985)

    Article  Google Scholar 

  31. E. Akkermans, P.W. Wolf and R. Maynard, Phys. Rev. Lett. 56, 1471 (1986)

    Article  CAS  Google Scholar 

  32. G. Bastard, J.A. Brum, IEEE J. QE-22, 1625 (1986)

    Google Scholar 

  33. G.H. Döhler, IEEE J. QE 22, 1682 (1986)

    Article  Google Scholar 

  34. R.L. Green and K. Bajaj, Phys. Rev. B 34 951 (1986)

    Article  Google Scholar 

  35. Localization and Interaction, D.M. Finlayson (ed.), SUSSP, Edinburgh (1986)

    Google Scholar 

  36. M. Stephen, Phys. Rev. Lett. 56, 1809 (1986)

    Article  CAS  Google Scholar 

  37. J.S. Blakemore, Semiconductor Statistics, Dover Publication, Dover (1987)

    Google Scholar 

  38. Physics and Applications of Quantum Wells and Superlattices, E.E. Mendez, K. v. Klitzing (eds.), NATO ASI Ser. 170, Plenum Press, New York (1987)

    Google Scholar 

  39. C. Weisbuch, in Semicond. Semimet. Vol. 24, Academic Press, London (1987)

    Google Scholar 

  40. M.L. Cohen, J.R. Chelikowsky, Electronic Structure and Optical Properties of Semiconductors, Springer Series Solid-State Sci. 75, Springer, Berlin (1988)

    Google Scholar 

  41. Ch. Flytzains, D. Ricard and Ph. Roussignol, NATO ASI Ser. B 194, 181 (1988)

    Google Scholar 

  42. Growth and Optical Properties of Wide-Gap II–VI Low Dimensional Semiconductors, T.C. McGill, C.M. Sotomayor Torres, W. Gebhardt (eds.), NATO ASI Ser. B 200, Plenum, New York (1988)

    Google Scholar 

  43. Properties of Impurity States in Superlattice Semiconductors, C.Y. Fong, I.P. Batra and S. Ciraci (eds.), NATO ASI Series B 183, Plenum, New York (1988)

    Google Scholar 

  44. U. Rössler, F. Malcher and A. Ziegler, in NATO ASI series B 183, 219, Plenum, New York (1988)

    Google Scholar 

  45. W. Walukiewizc, Phys. Rev. B 37, 4760 (1988)

    Article  Google Scholar 

  46. A. Henglein, Chem. Rev. 89, 1861 (1989)

    Article  CAS  Google Scholar 

  47. C. Klingshirn in [81A1]d of Chap. 1 p. 111

    Google Scholar 

  48. N. Peyghambarian, et al., IEEE J. QE-25, 2516 (1989)

    Article  Google Scholar 

  49. M.G. Bawendi, M.L. Steigerwald and L.E. Brus, Annual Rev. Phys. Chem. 41, 477 (1990)

    CAS  Google Scholar 

  50. U. Merkt, Festkörperprobleme / Advances in Solid State Physics, Vol. 30, 77 (1990)

    CAS  Google Scholar 

  51. S.H. Park et al., J. Opt. Soc. Am. B 7, 2097 (1990)

    CAS  Google Scholar 

  52. L.E. Brus, Appl. Phys. A 53, 465 (1991)

    Article  Google Scholar 

  53. Electronic Structure and Properties of Semiconductors, W. Schröter (ed.), Materials Science and Technology 4, VCH, Weinheim (1991)

    Google Scholar 

  54. A.I. Ekimov, Phys. Scr. T 39, 217 (1991)

    Article  Google Scholar 

  55. A.A. Klochikhin and S.G. Ogloblin, Sov. Phys. JETP 73, 1122 (1991)

    Google Scholar 

  56. A.L. Efros, Phys. Rev. B 46, 7448 (1992)

    Article  CAS  Google Scholar 

  57. F. Henneberger et al., Adv. Solid State Phys./ Festkörperprobleme 32, 279 (1992)

    CAS  Google Scholar 

  58. S. Malzer et al., phys. stat. sol. (b) 173, 459 (1992)

    CAS  Google Scholar 

  59. S. Permogorov and A. Reznitsky, J. Lumin. 52, 201 (1992)

    Article  CAS  Google Scholar 

  60. F. Daiminger et al., Proc. 21th ICPS, Beijing (1992), Ping Jiang and Hou-Zhi Zeng (eds.) p 1293 World Scientific, Singapore (1993)

    Google Scholar 

  61. A.I. Ekimov et al., J. Opt. Soc. Am. B 10, 100 (1993)

    CAS  Google Scholar 

  62. P. Fulde, Electron Correlations in Molecules and Solids, Springer Series in Solid State Science 100, 2nd, ed. Springer, Berlin (1993)

    Google Scholar 

  63. A.C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge Studies in Magnetism, Cambridge University, Press, Cambridge (1993)

    Google Scholar 

  64. A.A. Klochikhin et al., Phys. Rev. B 48, 3100 (1993)

    Article  CAS  Google Scholar 

  65. C.B. Murray, D.J. Norris and M.G. Bawendi, J. Am. Chem. Soc. 115, 8706 (1993)

    Article  CAS  Google Scholar 

  66. U. Merkt et al., Physica B 189, 165 (1993)

    Article  CAS  Google Scholar 

  67. K. Ploog, R. Nötzel and O. Brandt, Proc. 21th ICPS, Beijing (1992), Ping Jiang and Hou-Zhi Zeng (eds.) p. 1297 World Scientific, Singapore (1993)

    Google Scholar 

  68. M.A. Reed, Scientific American, January issue p. 98 (1993)

    Google Scholar 

  69. T. Taguchi, Y. Kawakami and Y. Yamada, Physica B 191, 23 (1993)

    Article  CAS  Google Scholar 

  70. U. Woggon et al., Phys. Rev. B 47, 3684 (1993)

    Article  CAS  Google Scholar 

  71. A. Abounadi et al., Phys. Rev. B 50, 11677 (1994)

    Article  CAS  Google Scholar 

  72. M. Grün et al., J. Crystal Growth 138, 150 (1994)

    Article  Google Scholar 

  73. M. Illing et al., J. Crystal Growth 138, 638 (1994)

    Article  CAS  Google Scholar 

  74. A.-B. Chen and A. Sher, Semiconductor Alloys, Plenum Press, New York (1995)

    Google Scholar 

  75. W. Faschinger, Material Science Forum 182–184, 29 (1995)

    Article  Google Scholar 

  76. M. Grundmann et al., J. of Nonlinear Optical Physics and Materials 4, 99 (1995)

    Article  CAS  Google Scholar 

  77. F. Hofmann and D.A. Wharam, Festkörperprobleme / Advances in Solid State Physics Vol. 35, 197 (1995)

    Google Scholar 

  78. J. König et al., Festkörperprobleme / Advances in Solid State Physics Vol. 35, 215 (1995)

    Google Scholar 

  79. D. Pfannkuche and S.E. Ulloa, Festkörperprobleme / Advances in Solid State Physics, Vol. 35, 65 (1995)

    Google Scholar 

  80. U. Woggon and S.V. Gaponenko, phys. stat. sol. (b) 189, 285 (1995)

    CAS  Google Scholar 

  81. H.R. Blick et al., Phys. Rev. B 53, 78999 (1996)

    Article  Google Scholar 

  82. M. Hetterich et al., Phys. Rev. B 56, 12369 (1997)

    Article  CAS  Google Scholar 

  83. D. Hommel et al., phys. stat. sol. (b) 202, 835 (1997)

    Article  CAS  Google Scholar 

  84. A. Hartmann et al., Appl. Phys. Lett. 71, 1314 (1997)

    Article  CAS  Google Scholar 

  85. T. Pohjola et al., Europhys. Lett. 40, 189 (1997)

    Article  CAS  Google Scholar 

  86. M. Rabe et al., phys. stat. sol. (b) 202, 817 (1997)

    Article  CAS  Google Scholar 

  87. R. Ulbrich, private communication (1997)

    Google Scholar 

  88. U. Woggon et al., Appl. Phys. Lett. 71, 377 (1997)

    Article  CAS  Google Scholar 

  89. M. Grün et al., Appl. Phys. Lett. 73, 1343 (1998)

    Article  Google Scholar 

  90. D. Lüerßen et al., Phys. Rev. B 57, 1631 (1998)

    Article  Google Scholar 

  91. M.V. Artemyev et al., Phys. Rev. B 60, 1504 (1999) and references therein

    Article  CAS  Google Scholar 

  92. D. Bimberg, N. Grundmann and N.N. Ledentsov, Quantum Dot Heterostructures, John Wiley and Sons, Chicester (1999)

    Google Scholar 

  93. G. Biasiol and E. Kapon, J. Crystal Growth 201/202, 62 (1999)

    Article  CAS  Google Scholar 

  94. S.V. Gaponenko et al., IEEE J. Lightwave Techn. 17, 2128 (1999)

    Article  CAS  Google Scholar 

  95. A. Klochikhin et al., Phys. Rev. B 59, 12947 (1999)

    Article  CAS  Google Scholar 

  96. D. ben Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems, Cambridge University Press, Cambridge (2000)

    Google Scholar 

  97. G. Biasiol, K. Leifer and E. Kapon, Phys. Rev. B 61, 7223 (2000)

    Article  CAS  Google Scholar 

  98. E. Kurtz et al., Thin Solid Films 367, 68 (2000) and ibid. 412, 89 (2002), J. Crystal Growth 214/215, 712 (2000), phys. stat. sol. (b) 229, 519 (2001)

    Article  CAS  Google Scholar 

  99. S. Permogorov et al., J. Crystal Growth 215/215, 1158 (2000)

    Article  Google Scholar 

  100. A. Rosenauer et al., Thin Solid Films 357, 18 (2000) and Phys. Rev. B 61, 8276 (2000)

    Article  Google Scholar 

  101. C. Skierbiszewski et. al., Appl. Phys. Lett. 76 2409 (2000)

    Article  CAS  Google Scholar 

  102. M.V. Artemyev et al., phys. stat. sol. (b) 224, 393 (2001)

    Article  CAS  Google Scholar 

  103. Q. Huang et al., J. Crystal Growth 227/228, 117 (2001)

    Article  Google Scholar 

  104. M.H. Huang et al., Science 292, 1897 (2001)

    Article  CAS  Google Scholar 

  105. Z.W. Pan, Z.R. Dai and Z.L. Wang, Science 291, 1947 (2001)

    Article  CAS  Google Scholar 

  106. R.L. Sellin et al., Appl. Phys. Lett. 78, 1207 (2001)

    Article  CAS  Google Scholar 

  107. O. Gogolin et al., Solid State Commun. 122, 511 (2002)

    Article  CAS  Google Scholar 

  108. E. Kapon in [81A1]k of Chap. 1, p. 243

    Google Scholar 

  109. A. Klochikhin el. al., phys. stat. sol. b 234 787 (2002) and Phys. Rev. B 71 195207 (2005)

    Google Scholar 

  110. R.L. Walter et al., Phys. Rev. B 65, 075207 (2002)

    Article  CAS  Google Scholar 

  111. O. Gogolin et al., J. Lumin. 102/103, 414 and 451 (2003)

    Article  CAS  Google Scholar 

  112. S.N. Khanna and A.W. Castleman, Quantum Phenomena in Clusters and Nanostructures, Springer, Berlin, Heidelberg (2003)

    Google Scholar 

  113. J.Y. Lao et al., Nano Letters 3, 235 (2003)

    Article  CAS  Google Scholar 

  114. B.P. Zhang et al., Appl. Phys. Lett. 83, 1635 (2003)

    Article  CAS  Google Scholar 

  115. B.P. Zhang et al., Appl. Phys. Lett. 84, 4098 (2004) and J. Appl. Phys. 96, 340 (2004)

    Article  CAS  Google Scholar 

  116. K.C. Agarwal, Ph. D. Thesis, Karlsruhe (2006)

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). Electrons in a Periodic Crystal. In: Semiconductor Optics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38347-5_8

Download citation

Publish with us

Policies and ethics