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Electronic States in Semiconductor Superlattices and Quantum Wells: An Overview

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Abstract

Theoretical calculations of electronic subbands in two-dimensional semiconductor systems have been performed in Si metal-oxide-semiconductor (MOS) structures [9.1] and later in III–V heterostructures. In the latter case, the tight-binding method [9.2–4], the pseudopotential method [9.5,6] or ab initio schemes based on the density functional formalism [9.7] were exploited, in addition to the envelope- function or effective-mass method.

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References

  1. T. Ando, A.B. Fowler, F. Stem: Rev. Mod. Phys. 54, 437 (1982)

    Article  CAS  Google Scholar 

  2. J.N. Schulman, Y.C. Chang: Phys. Rev. B 24, 4445 (1981)

    Article  CAS  Google Scholar 

  3. J.N. Schulman, Y.C. Chang: Phys. Rev. B 27, 2346 (1983)

    Article  CAS  Google Scholar 

  4. J.C. Chang: Phys. Rev. B 37, 8215 (1988)

    Article  CAS  Google Scholar 

  5. M. Jaros, K.B. Wong, M.A. Gell: Phys. Rev. B 31, 1205 (1985)

    Article  CAS  Google Scholar 

  6. M. Jaros, A. Zoryk, D. Ninno: Phys. Rev. B 35, 8277 (1987)

    Article  CAS  Google Scholar 

  7. C.G. Van de Walle, R.M. Martin: Phys. Rev. B 24, 5621 (1986)

    Article  Google Scholar 

  8. LJ. Sham, M. Schlüter: Phys. Rev. B 32, 3883 (1985)

    Article  CAS  Google Scholar 

  9. M. Altarelli: In Heterojunctions and Semiconductor Superlattices, ed. by G. Allan, G. Bastard, N. Boccara, M. Lannoo, M. Voos (Springer, Berlin, Heidelberg 1986) p. 12

    Chapter  Google Scholar 

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

    Article  CAS  Google Scholar 

  11. D.J. Ben Daniel, C.B. Duke: Phys. Rev. 152, 683 (1966)

    Article  CAS  Google Scholar 

  12. See, e.g., E.O. Kane: In Semiconductors and Semimetals, ed. by. R.K. Willardson, A.C. Beer (Academic, New York 1966) p. 75

    Chapter  Google Scholar 

  13. C. Mailhiot, D.L. Smith: Phys. Rev. B 35, 1242 (1987)

    Article  CAS  Google Scholar 

  14. H. Akera, S. Wakahara, T. Ando: Surf. Sci. 196, 694 (1988)

    Article  CAS  Google Scholar 

  15. P.F. Fewster, J. Phillips: Phys. Rev. B 34, 268 (1986)

    Google Scholar 

  16. M. Sauvage, C. Delalande, P. Voisin, P. Etienne, P. Delescluse: Surf. Sci. 174, 573 (1986)

    Article  CAS  Google Scholar 

  17. T.W. Ryan, P.D. Hatton, S. Bakes, M. Watt, C. Sokomayor-Torres, P.A. Claxton, J.S. Roberts: Semicond. Sci. Technol. 2, 241 (1987)

    Article  CAS  Google Scholar 

  18. M.F.H. Schuurmans, G.W. ’t Hooft: Phys. Rev. B 31, 8041 (1985)

    Article  CAS  Google Scholar 

  19. Y.C. Chang, J.N. Schulman, G. Bastard, Y. Guldner, M. Voos: Phys. Rev. B 31, 2557 (1985)

    Article  CAS  Google Scholar 

  20. M.G. Burt: Semicond. Sci. Technol. 2, 401 and 706 (Erratum) (1987)

    Google Scholar 

  21. M.G. Burt: Semicond. Sci. Technol. 3, 739 (1988)

    Article  CAS  Google Scholar 

  22. J.M. Luttinger: Phys. Rev. 102, 1030 (1956)

    Article  CAS  Google Scholar 

  23. E.O. Kane: In Handbook of Semiconductors, Vol. 1, ed. by W. Paul (Academic, New York 1982) p. 193

    Google Scholar 

  24. D.A. Broido, LJ. Sham: In Proc. of the 17th Int. Corf, on the Physics of Semiconductors, San Francisco, 1984, ed. by J.D. Chadi, W.A. Harrison (Springer, New York 1985) p. 337

    Google Scholar 

  25. M. Altarelli, U. Ekenberg, A. Fasolino: Phys. Rev. B 32, 5138 (1985)

    Article  CAS  Google Scholar 

  26. LC Andreani, A. Pasquarello, F. Bassani: Phys. Rev. B 36, 5887 (1987)

    Article  CAS  Google Scholar 

  27. S.S. Nedorezov: Sov. Phys. - Solid State 12, 1814 (1971)

    Google Scholar 

  28. J.B. Xia: Phys. Rev. B 38, 8365 (1988)

    Article  Google Scholar 

  29. R. Wessel, M. Altarelli: Phys. Rev. B 39, 12802 (1989)

    Article  Google Scholar 

  30. M. Altarelli: In Festkörperprobleme, Vol. 25, ed. by P. Grosse (Vieweg, Braunschweig 1985) p.381

    Google Scholar 

  31. T. Ando: J. Phys. Soc. Jpn. 54, 1528 (1985)

    Article  CAS  Google Scholar 

  32. Y.C. Chang, G.D. Sanders: Phys. Rev. B 32, 5521 (1985)

    Article  CAS  Google Scholar 

  33. A. Pinczuk, D. Heiman, R. Sooryakumar, A.C. Gossard, W. Wiegmann: Surf. Sci. 170, 573 (1986)

    Article  CAS  Google Scholar 

  34. R. Sooryakumar, D.S. Chemla, A. Pinczuk, A. Gossard, W. Wiegmann, LJ. Sham: J. Vac. Sci. Technol. B 2, 349 (1984)

    Article  Google Scholar 

  35. See, e.g., L.L. Chang: In Heterojunctions and Semiconductor Superlattices, ed. by G. Allan, G. Bastard, N. Boccara, M. Lannoo, M. Voos (Springer, Berlin, Heidelberg 1986) p. 152

    Chapter  Google Scholar 

  36. J.C. Maan, Y. Guldner, J.P. Vieren, P. Voisin, M. Voos, L.L. Chang, L. Esaki: Solid State Commun. 39, 683 (1981)

    Article  CAS  Google Scholar 

  37. M. Altarelli: Phys. Rev. B 28, 842 (1983)

    Article  CAS  Google Scholar 

  38. E.E. Mendez, L. Esaki, L.L. Chang: Phys. Rev. Lett. 55, 2216 (1985)

    Article  CAS  Google Scholar 

  39. M. Altarelli, J.C. Maan, L.L. Chang, L. Esaki: Phys. Rev. B 36, 9867 (1987)

    Article  Google Scholar 

  40. Y. Guldner, G. Bastard, J.P. Vieren, M. Voos, J.P. Faurie, A. Million: Phys. Rev. Lett. 51, 907 (1983)

    Article  CAS  Google Scholar 

  41. G.S. Boebinger, J.P. Berroir, Y. Guldner, J.P. Vieren, M. Voos, J.P. Faurie: In Proc. of the MSS III Conf., Montpellier, 1987; J. de Phys. C5, 301 (1987)

    Google Scholar 

  42. DJ. Olego, J.P. Faurie, P.M. Raccah: Phys. Rev. Lett. 55, 328 (1985)

    Article  CAS  Google Scholar 

  43. S.P. Kowalczyk, J.T. Cheung, E.A. Kraut, R.W. Grant: Phys. Rev. Lett. 56, 2755 (1986)

    Article  Google Scholar 

  44. Tran Minh Duc, C. Hsu, J.P. Faurie: Phys. Rev. Lett. 58, 1127 (1987); see also [9.41, p. 307]

    Article  Google Scholar 

  45. Y.R. Lin-Liu, LJ. Sham: Phys. Rev. B 32, 5561 (1985)

    Article  CAS  Google Scholar 

  46. M. Jaros: Phys. Rev. Lett. 60, 2560 (1988)

    Article  CAS  Google Scholar 

  47. G. Bastard: Phys. Rev. Lett. 60, 2561 (1988)

    Article  CAS  Google Scholar 

  48. N.F. Johnson, P.M. Hui, H. Ehrenreich: Phys. Rev. Lett. 61, 1993 (1988)

    Article  CAS  Google Scholar 

  49. R. Ferreira, G. Bastard: Phys. Rev. B 38, 8406 (1988)

    Article  Google Scholar 

  50. A. Fasolino, M. Altarelli: Surf. Sci. 142, 322 (1984); and in Two-Dimensional Systems, Heterostructures, and Superlattices, ed. by G. Bauer, F. Kuchar, H. Heinrich, Springer Ser. Solid-State Sci., Vol. 53 (Springer, Berlin, Heidelberg 1984) p. 176

    Article  CAS  Google Scholar 

  51. G.D. Sanders, Y.C. Chiang: Phys. Rev. B 32, 4282 (1985)

    Article  CAS  Google Scholar 

  52. G. Platero, M. Altarelli: Phys. Rev. B 36, 6591 (1987)

    Article  CAS  Google Scholar 

  53. C. Mailhiot, Y.C. Chang, T.C. McGill: Phys. Rev. B 26, 4449 (1982)

    Article  CAS  Google Scholar 

  54. W.T. Masselink, Y.C. Chang, H. Morkoç: Phys. Rev. B 28, 7373 (1984); J. Vac. Sci. Technol. B 2, 376 (1984)

    Article  Google Scholar 

  55. E.E. Mendez, F. Agulló-Rueda, J.M. Hong: Phys. Rev. Lett. 60, 2426 (1988)

    Article  CAS  Google Scholar 

  56. P. Voisin, J. Bleuse, C. Bouche, S. Gaillard, C. Alibert, A. Regrenyi: Phys. Rev. Lett. 61, 1639 (1988)

    Article  CAS  Google Scholar 

  57. F. Agulló-Rueda, E.E. Mendez, J.M. Hong: Phys. Rev. B 38, 12720 (1988)

    Article  Google Scholar 

  58. See, e.g., N.W. Ashcroft, N.D. Mermin: Solid State Physics (Holt, Rinehart and Winston, New York 1976)

    Google Scholar 

  59. G. Bastard, R. Ferreira, J. Bleuse, P. Voisin: In Physics of Superlattices and Quantum Wells, ed. by S.H. Tsai, Wang Xun, X.-C. Shen, X.-L. Lei (World Scientific, Singapore 1989)

    Google Scholar 

  60. H.L. Störmer, Z. Schlesinger, A. Chang, D.C. Tsui, A.C. Gossard, W. Wiegmann: Phys. Rev. Lett. 51, 126 (1983)

    Article  Google Scholar 

  61. A. Broido, LJ. Sham: Phys. Rev. B 31, 888 (1985)

    Article  CAS  Google Scholar 

  62. U. Ekenberg, M. Altarelli: Phys. Rev. B 32, 3712 (1985)

    Article  CAS  Google Scholar 

  63. E. Bangert, G. Landwehr: Superlattices Microstruct. 1, 363 (1985); Surf. Sci. 170, 593 (1986)

    Article  CAS  Google Scholar 

  64. U. Ekenberg: Surf. Sci. 170, 601 (1986)

    Article  CAS  Google Scholar 

  65. Y. Iwasa, N. Miura, S. Tarucha, H. Okamoto, T. Ando: Surf. Sci. 170, 587 (1986)

    Article  CAS  Google Scholar 

  66. D. Heiman, A. Pinczuk, A.C. Gossard, A. Fasolino, M. Altarelli: In Proc. of the 18th Int. Conf. on the Physics of Semiconductors, Stockholm, 1986, ed. by E. Engström (World Scientific, Singapore 1987)

    Google Scholar 

  67. M.L. Claessen, J.C. Maan, M. Altarelli, P. Wyder, L.L. Chang, L. Esaki: Phys. Rev. Lett. 57, 2556 (1986)

    Article  CAS  Google Scholar 

  68. J.C. Maan: In Festkörperprobleme, Vol. 27, ed. by P. Grosse (Vieweg, Braunschweig 1987)

    Google Scholar 

  69. See, e.g., J.C. Slater: Insulators, Semiconductors and Metals (McGraw-Hill, New York 1967)

    Google Scholar 

  70. G.E. Zilberman: Sov. Phys. - JETP 5, 208 (1957); ibid. 6, 299 (1958)

    Google Scholar 

  71. G. Belle, J.C. Maan, G. Weimann: Solid State Commun. 56, 65 (1985)

    Article  CAS  Google Scholar 

  72. T. Duffield, R. Bhat, M. Koza, F. De Rosa, D.M. Hwang, P. Grabble, S J. Allen, Jr.: Phys. Rev. Lett. 56, 2724 (1986)

    Article  CAS  Google Scholar 

  73. T. Duffield, R. Bhat, M. Koza, F. De Rosa, D.M. Rush, S.J. Allen, Jr.: Phys. Rev. Lett. 59, 2693 (1987)

    Article  CAS  Google Scholar 

  74. A. Fasolino, M. Altarelli: In Proc. of the 19th Int. Conf. on the Physics of Semiconductors, Warsaw, 1988, ed. by W. Zawadzki (Inst, of Phys., Polish Acad, of Sciences, Warsaw 1988) p. 361

    Google Scholar 

  75. R.R. Gerhardts, D. Weiss, K. v. Klitzing: Phys. Rev. Lett. 62, 1173 (1989)

    Article  CAS  Google Scholar 

  76. R.W. Winkler, J.P. Kotthaus, K. Ploog: Phys. Rev. Lett. 62, 1177 (1989)

    Article  CAS  Google Scholar 

  77. A. Baldereschi, N.O. Lipari: Phys. Rev. B 3, 439 (1971)

    Article  Google Scholar 

  78. M. Altarelli, N.O. Lipari: Phys. Rev. B 15, 4898 (1977)

    Article  CAS  Google Scholar 

  79. See, e.g., Line Viña, R.T. Collins, E.E. Mendez, W.I. Wang, L.L. Chang, L. Esaki: In Excitons in Confined Systems, ed. by R. Del Sole, A. D’Andrea, A. Lapiccirella, Springer Proc. Phys., Vol. 25 (Springer, Berlin, Heidelberg 1988) p. 230

    Chapter  Google Scholar 

  80. J.C. Maan, G. Belle, A. Fasolino, M. Altarelli: Phys. Rev. B 30, 2253 (1984)

    Article  CAS  Google Scholar 

  81. N. Miura, Y. Iwasa, S. Tarucha, H. Okamoto: In Proc. of the 17th Int. Conf. on the Physics of Semiconductors, San Francisco, 1984, ed. by J.D. Chadi, W.A. Harrison (Springer, New York 1985) p. 359

    Google Scholar 

  82. W. Ossau, B. Jäkel, E. Bangert, G. Landwehr, G. Weimann: Surf. Sci. 174, 188 (1986)

    Article  CAS  Google Scholar 

  83. D.C. Rogers, J. Singelton, R.J. Nicholas, C.T. Foxon, K. Woodbridge: Phys. Rev. B 34, 4002 (1987)

    Article  Google Scholar 

  84. B. Zhu, K. Huang: Phys. Rev. B 36, 8102 (1987)

    Article  CAS  Google Scholar 

  85. B. Zhu: Phys. Rev. B 37, 4689 (1988)

    Article  CAS  Google Scholar 

  86. L.C. Andreani, A. Pasquarello: Europhys. Lett. 6, 259 (1988)

    Article  CAS  Google Scholar 

  87. G.E.W. Bauer, T. Ando: Phys. Rev. B 37, 3130 (1988)

    Article  CAS  Google Scholar 

  88. G.E.W. Bauer, T. Ando: Phys. Rev. B 38, 6015 (1988)

    Article  Google Scholar 

  89. W. Ossau, B. Jäkel, E. Bangert, G. Weimann: In The Basic Properties of Impurity States in Superlattice Semiconductors, ed. by C.Y. Fong (Plenum, New York 1988)

    Google Scholar 

  90. R. Buaer, D. Bimberg, J. Christen, D. Oertel, D. Mars, J.N. Miller, T. Fukunaga, H. Nagashima: In Proc of the 18th Int. Conf. on the Physics of Semiconductors, ed. by O. Engström (World Scientific, Singapore 1987) p. 525

    Google Scholar 

  91. Y. Chen, B. Gil, P. Lefebvre, H. Mathieu, T. Fukunaga, H. Nagashima: In [9.79, p. 200]

    Google Scholar 

  92. H.W. van Kesteren, E.C. Cosman, F.J.A.M. Greidanus, P. Dawson, K J. Moore, C.T. Foxon: Phys. Rev. Lett. 61, 129 (1988)

    Article  Google Scholar 

  93. B.R. Salmassi, G.E.W. Bauer: Phys. Rev. B 39, 1970 (1989)

    Article  Google Scholar 

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Altarelli, M. (1991). Electronic States in Semiconductor Superlattices and Quantum Wells: An Overview. In: Chelikowsky, J.R., Franciosi, A. (eds) Electronic Materials. Springer Series in Solid-State Sciences, vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84359-4_9

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