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Magnetic quantization in superlattices

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Festkörperprobleme 27

Part of the book series: Advances in Solid State Physics ((ASSP,volume 27))

Abstract

The energy-level structure of superlattices in a magnetic field parallel and perpendicular to the layers, when the periodicities are comparable to the cyclotron orbit radius, is studied; experimentally with interband excitation spectroscopy and theoretically with the quasi-classical quantization of the superlattice bandstructure in a magnetic field as well as with the direct solution of the Schrödinger equation of a particle moving in a field and in a periodic potential. A critical analysis, both qualitative and quantitative, of the experimental results using these theoretical descriptions is presented.

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References

  1. L. Esaki, and R. Tsu, IBM J. Res. Dev. 14, 61 (1970)

    Article  Google Scholar 

  2. L. L. Chang, L. Esaki, and R. Tsu, Appl. Phys. Lett. 24, 593 (1974)

    Article  ADS  Google Scholar 

  3. L. Esaki, and L. L. Chang, Phys. Rev. Lett. 33, 495 (1974)

    Article  ADS  Google Scholar 

  4. R. Dingle, W. Wiesmann, and C. H. Henry, Phys. Rev. Lett. 34, 827 (1974)

    Article  ADS  Google Scholar 

  5. R. Dingle, A. C. Gossard, and W. Wiegmann, Phys. Rev. Lett. 34, 1327 (1975)

    Article  ADS  Google Scholar 

  6. R. Dingle, in: Festkörperproblem/Advances in Solid State Physics, ed. by H. J. Queisser (Vieweg, Braunschweig 1975) Vol. XV, p. 21

    Google Scholar 

  7. N. Holonyak, R. M. Kolbas, W. D. Laidig, B. A. Vojak, R. D. Dupuis, and P. D. Dapkus, Appl. Phys. Lett. 33, 737 (1978)

    Article  ADS  Google Scholar 

  8. R. Dingle, H. L. Störmer, A. C. Gossard, and W. Wiegmann, Appl. Phys. Lett. 33, 665 (1978)

    Article  ADS  Google Scholar 

  9. K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980)

    Article  ADS  Google Scholar 

  10. D. C. Tsui, H. L. Störmer, and A. C. Gossard, Phys. Rev. Lett. 48, 1562 (1982)

    Article  ADS  Google Scholar 

  11. K. von Klitzing, in: Festkörperprobleme/Advances in Solid State Physics, ed. by J. Treusch (Vieweg, Braunschweig 1981) Vol. XXI, p. 1

    Google Scholar 

  12. G. Döhler in: Feskörperprobleme/Advances in Solid State Physics, ed. by P. Grosse (Vieweg, Braunschweig 1983) Vol. XXIII, p. 207

    Google Scholar 

  13. N. T. Linh, in: Festkörperprobleme/Advances in Solid State Physics, ed. by P. Grosse (Vieweg, Braunschweig 1983) Vol. XXIII, p. 227

    Google Scholar 

  14. H. L. Störmer, in: Festkörperprobleme/Advances in Solid State Physics, ed. by P. Grosse (Vieweg, Braunschweig 1984) Vol. XXIV, p. 25

    Google Scholar 

  15. G. Abstreiter, in: Festkörperprobleme/Advances in Solid State Physics, ed. by P. Grosse (Vieweg, Braunschweig 1984), Vol. XXIV, p. 291

    Google Scholar 

  16. G. Wiemann, in: Festkörperprobleme/Advances in Solid State Physics, ed. by P. Grosse (Vieweg, Braunschweig 1986) Vol. 26, p. 231

    Google Scholar 

  17. L. Esaki, in: Heterojunctions and Semiconductor Superlattices, ed. by G. Allal, G. Bastard, N. Boccara, M. Lannoo, and M. Voos (Springer, Heidelberg 1986)

    Google Scholar 

  18. L. L. Chang, H. Sakaki, C. A. Chang, and L. Esaki, Phys. Rev. Lett. 38, 1489 (1977)

    Article  ADS  Google Scholar 

  19. L. L. Chang, E. E. Mendez, N. J. Kawai, and L. L. Esaki, Surf. Sci. 113, 306 (1982)

    Article  ADS  Google Scholar 

  20. T. Ando, J. Phys. Soc. Japan 50, 2978 (1981)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. T. C. L. G. Sollner, W. D. Goodhue, P. E. Tannenwald C. D. Parker, and D. D. Peck, Appl. Phys. Lett. 43, 588 (1983)

    Article  ADS  Google Scholar 

  23. T. Nakagawa, H. Imamoto, T. Kojima, and K. Ohta, Appl. Phys. Lett. 49, 73 (1986) and also reference cited therein

    Article  ADS  Google Scholar 

  24. A. Chomette, B. Deveaud, J. Y. Emery, A. Regreny, and B. Lambert, Solid State Commun. 54, 75 (1985)

    Article  ADS  Google Scholar 

  25. B. Deveaud, A. Chomette, B. Lambert, A. Regreny, R. Romestain, and P. Edel, Solid State Commun. 57, 885 (1986)

    Article  ADS  Google Scholar 

  26. D. Calecki, J. F. Palmier, and A. Chomette, J. Phys. C (Solid State Physics) 17, 5017, (1984)

    Article  ADS  Google Scholar 

  27. J. F. Palmier, M. Leperson, C. Minot, A. Chomette, A. Regreny, and D. Calecki, Superlattices and Microstructures 1, 76 (1985)

    Article  ADS  Google Scholar 

  28. J. Yoshino, H. Sakaki, and T. Furuta, p. 519, 49, Proc. of the 17th Int. Conf. on the Physics of Semiconductors, San Francisco 1984 (Springer, New York 1985)

    Google Scholar 

  29. R. A. Davies, M. J. Kelly, and T. M. Kerr, Phys. Rev. Lett. 55, 1114 (1985)

    Article  ADS  Google Scholar 

  30. F. Capasso, K. Mohammed, A. Y. Cho, R. Hull, and A. L. Hutchinson, Phys. Rev. Lett. 55, 1152 (1985)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. G. Belle, J. C. Maan, and G. Weimann, Surface Sci. 170, 611 (1986)

    Article  ADS  Google Scholar 

  33. T. Duffield, R. Bhat, M. Koza, D. M. Hwang, P. Grabbe, and S. J. Allen Jr., Phys. Rev. Lett. 56, 2724 (1986)

    Article  ADS  Google Scholar 

  34. J. C. Maan, Springer Series in Solid State Sciences, Vol. 53, ed. by G. Bauer, F. Kuchar, and H. Heinrich (Springer, Berlin 1984), p. 183

    Google Scholar 

  35. W. Beinvogl, A. Kamgar, and J. F. Koch, Phys. Rev. B14, 4274 (1986)

    Article  ADS  Google Scholar 

  36. U. Merkt, Phys. Rev. B32, 6699 (1985)

    Article  ADS  Google Scholar 

  37. C. Kittel, Quantum theory of Solids (John Wiley & Sons, New York 1963)

    MATH  Google Scholar 

  38. L. D. Landau, and E. M. Lifshitz, Course of theoretical Physics, Vol. 9, part 2, Statistical Physics, ed. by E. M. Lifshitz and L. P. Pitaevskii (Pergamon Press, Oxford 1980)

    Google Scholar 

  39. L. D. Landau, and E. M. Lifshitz, Course of theoretical Physics, Vol. 3, Quantum Mechanics (Pergamon Press, Oxford 1977)

    Google Scholar 

  40. A. B. Pippard, Phil. Trans. Roy. Soc. A256, 317 (1964)

    ADS  Google Scholar 

  41. A. B. Pippard, in The theory of metals, ed. by J. Ziman (Cambrdige University Press, Cambridge 1969), Ch. 3

    Google Scholar 

  42. P. G. Harper, Proc. Phys. Soc. 68, 879 (1955)

    Article  ADS  Google Scholar 

  43. R. Tsui, and J. Janak, Phys. Rev. B9, 404 (1974)

    Article  ADS  Google Scholar 

  44. G. E. Zil'berman, Soviet Phys. JETP 5, 208 (1957).

    Google Scholar 

  45. G. E. Zil'berman, Soviet Phys. JETP 6, 299 (1958)

    ADS  Google Scholar 

  46. G. Bastard, Phys. Rev. B24, 5693 (1981).

    Article  ADS  Google Scholar 

  47. M. Altarelli, Phys. Rev. B28, 842 (1983)

    Article  ADS  Google Scholar 

  48. M. Altarelli, in: Applications of High Magnetic Field in Semiconductor Physics, ed. by G. Landwehr (Springer, Berlin 1983)

    Google Scholar 

  49. The Kronig-Penney-bandstructure is discussed thoroughly in: R. A. Smith, Wave Mechanics of Crystalline Solids (John Wiley & Sons, New York 1961).

    Google Scholar 

  50. R. E. Doezema, and J. F. Koch, Phys. Rev. B5, 3866 (1972)

    Article  ADS  Google Scholar 

  51. R. E. Doezema, and J. F. Koch, Phys. Rev. B6, 2071 (1972).

    Article  ADS  Google Scholar 

  52. M. Wanner, R. E. Doezema, and U. Strom, Phys. Rev B12, 2883 (1975) and references cited therein

    Article  ADS  Google Scholar 

  53. T. Ando, J. Phys. Soc. Japan 39, 411 (1975).

    Article  ADS  Google Scholar 

  54. K. F. Bergren, and D. J. Newson, Semicond. Sci. Technol. 1, 327 (1986).

    Article  ADS  Google Scholar 

  55. J. C. Maan, G. Belle, A. Fasolino, M. Altarelli, and K. Ploog, Phys. Rev. B30, 2253 (1984).

    Article  ADS  Google Scholar 

  56. J. C. Miller, D. A. Kleinman, W. T. Tsang, and A. C. Gossard, Phys. Rev. B24, 1134 (1981)

    Article  ADS  Google Scholar 

  57. G. Bastard, E. E. Mendez, L. L. Chang, and L. Esaki, Phys. Rev. B26, 1974 (1982)

    Article  ADS  Google Scholar 

  58. P. Dawson, K. J. Moore, G. Duggan, H. I. Ralph, and C. T. B. Foxon. Phys. Rev. B34, 6007 (1986).

    Article  ADS  Google Scholar 

  59. A. Fasolino, and M. Altarelli, in: Springer Series in Solid State Sciences, Vol. 53, ed. by G. Bauer, F. Kuchar, and H. Heinrich (Springer, Berlin 1984), p. 176.

    Google Scholar 

  60. J. N. Schulman, and Y. C. Chang, Phys. Rev. B31, 2056 (1985).

    Article  ADS  Google Scholar 

  61. R. Sooryakumar, D. S. Chemla, A. Pinczuk, A. C. Gossard, and W. Wiegmann Proc. of the 17th Int. Conf. on the Physics of Semiconductors, San Francisco 1984 (Springer, New York 1985), p. 523.

    Google Scholar 

  62. Y. C. Chang, and G. D. Sanders, Phys. Rev. B32, 5521 (1985).

    Article  ADS  Google Scholar 

  63. F. Ancilotto, A. Fasolino, and J. C. Maan, Proc. of the 2nd Int. Conf. on Superlattices, Gotenborg, 1986, J. of Superlattices and Microstructures, to be published

    Google Scholar 

  64. M. Kriechbaum, Proc. of the 2nd Int. Conf. of Superlattices, Gotenborg, 1986, J. of Superlattices and Microstructures, to be published

    Google Scholar 

  65. D. C. Rogers, J. Singleton, R. J. Nicholas, C. T. Foxon, and K. Woodbridge, Phys. Rev. B34, 4002 (1986).

    Article  ADS  Google Scholar 

  66. W. Andreoni, and R. Car, Phys. Rev. B21, 3334 (1980).

    Article  ADS  Google Scholar 

  67. E. Carruthers, and P. J. Lin-Chung, Phys. Rev. B17, 2705 (1978).

    Article  ADS  Google Scholar 

  68. A. Ishibashi, Y. Mori, M. Itabashi, and N. Watanabe, J. Appl. Phys. 58, 2691 (1985).

    Article  ADS  Google Scholar 

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  1. Max-Planck-Institut für Festkörperforschung, Hochfeld-Magnetlabor 166X, F-38042, Grenoble Cédex, France

    Jan-Kees Maan

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P. Grosse

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© 1987 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Maan, JK. (1987). Magnetic quantization in superlattices. In: Grosse, P. (eds) Festkörperprobleme 27. Advances in Solid State Physics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107919

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  • DOI: https://doi.org/10.1007/BFb0107919

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  • Print ISBN: 978-3-528-08033-4

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