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Surface and Interface Properties and the Quantum Hall Effect

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Abstract

So far we have dealt with the bulk properties of semiconductors and tacitly assumed that the crystal is extended infinitely. We will now briefly discuss the influence of the crystal surface and interfaces between semiconductors on the transport properties of semiconductors.

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References

Further Reading

  • Supriyo Datta: Electronic Transport in Mesoscopic Systems, Cambridge University Press, (UK), 1997

    Google Scholar 

  • Thomas Heinzel: Mesoscopic Electronics in Solid State Nanostructures, Wiley VCH Weinheim, ( Germany ), 2003

    Google Scholar 

  • Marius Grundmann (Ed.): Nano-Optoelectronics, Concepts, Physics and Devices, Springer Verlag Heidelberg, (Germany) 2002

    Google Scholar 

  • B. Deveaud, A. Quattropani, P. Schwedimann: Electron and Photon Confinement in Semiconductor Nanostructures, Proc. Int’l School of Physics of the Italian Physical Society, IOS Press Amsterdam, (Netherlands) 2003

    Google Scholar 

Chapter 14

  1. I. Tamm, Z. Phys. 76, 849 (1932); Phys. Z. Sowjetunion 1, 733 (1932); Zh. Eksp. Teor. Fiz. 3, 34 (1933)

    CAS  Google Scholar 

  2. W. Shockley, Phys. Rev. 56, 317 (1939)

    Article  CAS  Google Scholar 

  3. E.W. Müller, Ergebnisse der Exakten Naturwissenschaften XXVII, 290 ( Springer, Berlin, Göttingen 1953 )

    Google Scholar 

  4. H. Ibach (ed.), Electron Spectroscopy for Surface Analysis, Topics Curr. Phys., 4 ( Springer, Berlin, Heidelberg 1977 )

    Google Scholar 

  5. W.E. Meyerhof, Phys. Rev. 71, 727 (1947)

    Article  Google Scholar 

  6. J. Bardeen, Phys. Rev. 71, 717 (1947)

    Article  Google Scholar 

  7. R.H. Kingston (ed.), Semiconductor Surface Physics; ( Univ. of Pennsylvania Press, Philadelphia 1957 )

    Google Scholar 

  8. M. Henzler, Festkörper-Probleme XI, 187 ( Vieweg, Braunschweig 1971 )

    Google Scholar 

  9. L. Ley, M. Cardona. Pollak, in Photoemission in Solids II, ed. By L. Ley, M. Cardona, Topics Appl. Phys., Vol. 27 ( Springer, Berlin, Heidelberg 1979 )

    Chapter  Google Scholar 

  10. F.G. Allen, G.W. Gobeli, Phys. Rev. 127, 150 (1962)

    Article  CAS  Google Scholar 

  11. W.E. Spicer, P. Skeath, C.Y. Su, I. Lindau, J. Phys. Soc. Jpn. 49, Suppl. A, 1079 (1980)

    Google Scholar 

  12. B. Feuerbacher, B. Fitton, In [Ref. 14.4, Chap. 5]

    Google Scholar 

  13. F. Garcia-Moliner, F. Flores, Introduction to the Theory of Solid Surfaces (Cambridge Univ. Press, London 1979); and all papers in J. Vac. Sci. Technol. 17, (1980) No. 5

    Google Scholar 

  14. F. Stern, Phys. Rev. B 5, 4891 (1972); F. Stern, W.E. Howard, Phys. Rev. 163, 816 (1967)

    CAS  Google Scholar 

  15. A. Kamgar, P. Kneschaurek, G. Dorda, J.F. Koch, Phys. Rev. Lett. 32, 1251 (1974)

    Article  CAS  Google Scholar 

  16. A. Forchel, H. Leier, B.E. Maile, R. Germann, Festkörperprobleme/Advances in Solid State Physics 28, ed. by U. Rössler ( Vieweg, Braunschweig 1988 ) p. 99

    Google Scholar 

  17. K.v. Klitzing, G. Dorda, M. Pepper, Phys. Rev. Lett. 45, 494 (1980)

    Article  Google Scholar 

  18. D.C. Tsui, H.L. Störmer, A.C. Gossard, Phys. Rev. Lett. 48, 1559 (1982)

    Article  CAS  Google Scholar 

  19. M. Razeghi, J.P. Duchemin, J.C. Portal, L. Dmowski, G. Remeni, R.J. Nicholas, A. Briggs, Appl. Phys. Lett. 48, 712 (1986)

    Article  CAS  Google Scholar 

  20. K.v. Klitzing, B. Tausendfreund, H. Obloh, T. Herzog, Lecture Notes Phys. 177, p.1, Fig. 6. (Springer, Berlin, Heidelberg 1987) ed. by G. Landwehr

    Google Scholar 

  21. D.C. Tsui, in M. Janssen, O. Viehweger, U. Fastenrath, J. Hajdu, Introduction to the Theory of the Integer Quantum Hall Effect, VCH, Weinheim, 1994 p. 16

    Google Scholar 

  22. I. Yye, E.E. Mendez, W.I. Wang, L. Esaki, Phys. Rev. B 33, 5854 (1986)

    Article  Google Scholar 

  23. G. Landwehr, in High magnetic Fields in Semiconductors ed. by G. Landwehr, Springer Ser. Solid-State Sci., Vol. 71 ( Springer, Berlin, Heidelberg 1987 ) p. 295

    Google Scholar 

  24. M.E. Cage, R.F. Dziuba, B.F. Field, IEEE Trans. IM-34, 301 (1985)

    Google Scholar 

  25. R. Peierls, Surprises in Theoretical Physics, Princeton University Press 1979, Section 4. 3

    Google Scholar 

  26. C.W. Beenakker, H. van Houten, Superlattices and Microstructures 5, 127 (1989)

    Article  Google Scholar 

  27. B. Jeckelmann, B. Jeanneret, D. Inglis, Phys.Rev. B 55, 13124 (1997)

    Article  CAS  Google Scholar 

  28. M. Büttiker, Phys. Rev. B 38, 9375 (1988)

    Google Scholar 

  29. H. Hirai, S. Komiyama, J. Appl. Phys. 68, 655 (1990); S. Koiyama, H. Hirai, Phys. Rev. B (40), 7767 (1989)

    Google Scholar 

  30. F. Kuchar, R. Meisels, G. Weimann, W. Schlapp, Phys. Rev. B. 33, 2965 (1986) RC

    Google Scholar 

  31. V.A. Volkov, D.V. Galchenkov, L.A. Galchenkov, I.M. Grodnenski, O.R. Matov, S.A. Mikhailov, A.P. Senichkin, K.V. Strostin, Pis’ma Zh. Eksp. Teor. Fiz. 43, 255(1986)[Engl. transi. JETP Lett. 43, 326 (1986)]

    Google Scholar 

  32. R.G. Mani, J.H. Smet, K. von Klitzing, V. Narayanamurti, W.B. Johnson, V. Umansky, Nature 420, 646 (2002)

    Article  CAS  Google Scholar 

  33. M.A. Zudov, R.R. Du, J.A. Simmons, J.L. Reno, Phys.Rev. B 64, 201311 (2001)

    Google Scholar 

  34. R.R. Du, A.S. Yeh, H.L. Störmer, D.C. Tsui, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 75, 3926 (1995)

    Article  CAS  Google Scholar 

  35. J.K. Jain, Phys. Rev. Lett. 63, 19 (1989); O. Heinonen (ed.), Composite Fermions ( World Scientific, Singapore 1998 )

    Google Scholar 

  36. G. Landwehr, J. Gerschütz, S. Oehling, A. Pfeuffer - Jeschke, V. Latussek, C.R. Becker, Physica E 6, 713 (2000)

    Article  CAS  Google Scholar 

  37. D.R. Leadley, M van der Burgt, R.J. Nicolas, C.T. Foxon, J.J. Harris, Phys. Rev. B 53, 2057 (1996)

    Article  CAS  Google Scholar 

  38. T. Englert, D.C. Tsui, A.C. Gossard, Ch. Uihlein, Surf. Sci. 113, 295 (1982)

    Article  CAS  Google Scholar 

  39. R.J. Nicholas, R.J. Haug, K. von Klitzing, G. Weimann, Phys. Rev. B 37, 1294 (1988)

    Article  CAS  Google Scholar 

  40. R.L. Willett, M.A. Paalanen, R.R. Ruel, K.W. West, L.N. Pfeiffer, D.J. Bishop, Phys. Rev. Lett. 65, 112 (1990)

    Google Scholar 

  41. R.L. Willett, R.R. Ruel, M.A. Paalanen, K.W. West, L.N. Pfeiffer, Phys. Rev. B 47, 7344 (1993)

    Article  Google Scholar 

  42. D. Weiss, M.L. Roukes, A. Menschig, P. Grambow, K. v. K.itzing, G. Weimann, Phys. Rev. Lett. 66, 2790 (1991)

    Article  Google Scholar 

  43. S. Uryu, T. Ando, Physica B 227, 138 (1996)

    Article  CAS  Google Scholar 

  44. R. de Picciotto, H.L. Störmer, A. Yacoby, K.W. Baldwin, L.N. Pfeiffer, K.W. West, Physica E6, 514 (2000)

    Article  Google Scholar 

  45. A. Scherer, H.G. Craighead, M.L. Roukes, J.P. Harbison, J.Vac. Sci. Technol. B 6, 277 (1988)

    Article  CAS  Google Scholar 

  46. P.M. Petroff, A.C. Gossard, R.A. Logan, W. Wiegmann, Appl. Phys. Lett. 41, 635 (1982)

    Article  CAS  Google Scholar 

  47. S. Thorns, I. McIntyre, S.P. Beaumont, M. Al-Mudares, R. Cheung, C.D.W. Wilkinson, J. Vac. Sci. Technol. B 6, 127 (1988)

    Article  Google Scholar 

  48. M.A. Reed, R.A. Bate, K. Bradshaw, W.M. Duncan, W.R. Frensley, J.W.Lee, H.D. Shih, J. Vac. Sci. Technol. B 4, 358 (1986)

    Article  CAS  Google Scholar 

  49. J.N. Randall, M.A. Reed, T.M. Moore, R.J. Matyi, J.W. Lee, J. Vac. Sci. Technol. B 6, 302 (1988)

    Article  CAS  Google Scholar 

  50. I.N. Stranski, L. Krastanow, Sitzungsber. d. Akad. d. Wiss. Wien, Abt.IIb, Bd. 146, 797 (1937)

    Google Scholar 

  51. E. Bauer, Z. Kristallogr. 110, 372 (1958)

    Article  CAS  Google Scholar 

  52. L. Goldstein, F. Glas, J.Y. Marzin, M.N. Charasse, G. LeRom, Appl. Phys. Lett. 47, 1099 (1985)

    Article  CAS  Google Scholar 

  53. R. Willett, J.P. Eisenstein, H.L. Störmer, D.C. Tsui, A.C. Gossard, J.H. English, Phys. Rev. Lett. 59, 1776 (1987)

    Article  CAS  Google Scholar 

  54. R.R. Du, H.L. Störmer, D.C. Tsui, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 70, 2944 (1993)

    Article  CAS  Google Scholar 

  55. D. Leonard, M Krishnamirthy, C.M. Reaves, S.P. DenBaars, P.M. Petroff, Appl. Phys. Lett. 63, 3203 (1993)

    CAS  Google Scholar 

  56. D. Bimberg, M. Grundmann, N.N. Ledentsov, Quantum Dot Heterostructures, Wiley, New York (1999)

    Google Scholar 

  57. Al.L. Efros, A.L. Efros, Sov.Phys.Semicond. 16, 772 (1982)

    Google Scholar 

  58. L.E. Brus, J.Chem.Phys. 80, 4403 (1984)

    Article  CAS  Google Scholar 

  59. H. Haug, S.W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, World Sci., Singapore (1993)

    Google Scholar 

  60. Y.Z. Hu, M. Lindberg, S.W. Koch, Phys.Rev. B 42, 1713 (1990)

    Article  Google Scholar 

  61. L.P. Kouwenhoven, N.C. van der Vaart, Yu.V. Nazarov, S. Nauhar, D. Dixon, K. McCormick, J. Orenstein, P.L. McEuen, Y. Nagamune, J. Motohisa, H. Sakaki, Surf.Sci. 361 /362, 591 (1996)

    Article  Google Scholar 

  62. M. Grundmann (ed.), Nano-Optoelectronics, Concepts, Physics, and Devices, Springer Heidelberg 2002, p. 299, M. Grundmann: Theory of Quantum Dot Lasers.

    Google Scholar 

  63. A. Kumar, S.E. Laux, F. Stern, Phys. Rev. B 42, 5166 (1990)

    Article  CAS  Google Scholar 

  64. A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64, 2559 (1990)

    Article  CAS  Google Scholar 

  65. B. Meurer, D. Heitmann, K. Ploog, Phys. Rev. Lett. 68, 1371 (1992)

    Article  CAS  Google Scholar 

  66. V. Fock, Z. Physik 47, 446 (1928)

    Article  Google Scholar 

  67. W. Kohn, Phys. Rev. 123, 1242 (1961)

    Article  Google Scholar 

  68. B.J. van Wees, H. van Houten, C.W. J. Beenakker, J.G. Williamson, L.P. Kouwenhoven, D. van der Marel, C.T. Foxon, Phys. Rev. Lett. 60, 848 (1988)

    Article  Google Scholar 

  69. T.J. Thornton, M. Pepper, H. Ahmed, D. Andrews, G.J. Davies, Phys. Rev. Lett. 56, 1198 (1986)

    Article  CAS  Google Scholar 

  70. H.Z. Zheng, H.P. Wei, D.C. Tsui, G. Weiurann, Phys. Rev. B 34, 5635 (1986)

    Article  CAS  Google Scholar 

  71. D.A. Wharam, T.J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J.E.F. Frost, D.G. Hasko, D.C. Peacock, D.A. Ritchie, G.A.C. Jones, J. Phys. C 21, L 209 (1988)

    Google Scholar 

  72. L.P. Kouwenhoven, N.C. van der Vaart, A.T. Johnson, W. Kool, C.J.P.M. Harmans, J.G. Williamson, A.A.M. Staring, C.T. Foxon, Z. Physik B 85, 367 (1991)

    Article  Google Scholar 

  73. C.W.J. Beenakker, Phys. Rev. B 44, 1646 (1991)

    Google Scholar 

  74. H. Grabert, Z. Physik B 85, 319 (1991); (P. Wyrowski, H. Grabert, Z. Physik B 85, 443 (1991))

    Google Scholar 

  75. R. Landauer, IBM-J. Res. Dev. 1957; Z. Physik B 21, 247 ()1975; Analogies in Optics and Micro - Electronics, ed. W. van Haeringen, D. Lenstra, ( Kluwer, Dordrecht 1990 ) p. 243

    Google Scholar 

  76. M. Büttiker, IBM J. Res. Develop. 32, 317 (1988)

    Google Scholar 

  77. H. van Houten, C.W.J. Beenakker, B.J. van Wees, Semiconductors and Semimetals 35, (Academic, New York, (1992)p.9)

    Google Scholar 

  78. P.M. Mankiewich, R.E. Behringer, R.E. Howard, A.M. Chang, B. Chelluri, J. Cunningham, G. Timp, J. Vac. Sci. Technol. B 6, 131 (1988)

    Article  Google Scholar 

  79. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  Google Scholar 

  80. R.G. Chambers, Phys. Rev. Lett. 5, 3 (1960)

    Article  Google Scholar 

  81. R.A. Webb, S. Washburn, C.P. Umbach, R.B. Laibowitz, J. Magn. Magnetic Materials 54–57, 1423 (1986)

    Google Scholar 

  82. N. Kirstaedter, N.N. Ledentsov, M. Grundmann, D. Bimberg, V.M. Ustinov, S.S. Ruvimov, M. V. Maximov, P.S. Kop’ev, Zh. I. Alferov, U. Richter, P. Werner, U. Gösele, J. Heydenreich, Electron. Lett. 30, 1416 (1994)

    Article  CAS  Google Scholar 

  83. F. Heinrichsdorff, M.-H. Mao, N. Kirstaedter, A. Krost, D. Bimberg, A.O. Kosogov, P. Werner, Appl. Phys. Lett. 71, 22 (1997)

    Article  CAS  Google Scholar 

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Seeger, K. (2004). Surface and Interface Properties and the Quantum Hall Effect. In: Semiconductor Physics. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09855-4_14

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  • DOI: https://doi.org/10.1007/978-3-662-09855-4_14

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