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Electronic structure of quantum wells with in-plane magnetic fields

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Zeitschrift für Physik B Condensed Matter

Abstract

The energy spectrum and the wave functions of quantum wells in strong magnetic fields parallel to the potential walls are calculated analytically by means of a new, graph supported method. This “Arrow Train Method” allows to solve the recurrence relations which originate in the evaluation of eigenvalue determinants of infinite order. The energy eigenvalues for infinite barrier height are computed as a power series in the magnetic fieldB and the center of orbit coordinatez 0. The power series is evaluated up to the 18th order inB 2 for the first four levels and for cyclotron radii comparable to or considerable less than the well width. The corresponding wave functions and the field dependent center of mass shifts are obtained.

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References

  1. Beinvogl, W., Kamgar, A., Koch, J.F.: Phys. Rev. B14, 4274 (1976)

    Google Scholar 

  2. Koch, F.: Physics in high magnetic fields. Springer Series in Solid State Sciences. Chikazumi, S., Miura, N. (eds.), Vol. 24, pp. 262–273. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  3. Ando, T.: J. Phys. Soc. Jpn.44, 475 (1978)

    Google Scholar 

  4. Ando, T.: J. Phys. Soc. Jpn.50, 2978 (1981)

    Google Scholar 

  5. Ando, T.: Physics in high magnetic fields. Springer Series in Solid State Sciences. Chikazumi, S., Miura, N. (eds.), Vol. 24, pp. 301–304. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

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

    Google Scholar 

  7. Maan, J.C.: Application of high magnetic fields in semiconductor physics. Landwehr, G. (ed.), pp. 163–173. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  8. Maan, J.C., Englert, Th., Uihlein, Ch., Künzel, H., Fischer, A., Ploog, K.: Solid State Commun.47, 383 (1983)

    Google Scholar 

  9. Turberfield, A.J., Ryan, J.F., Worlock, J.M.: Proc. EP 2DS VI, p. 602, Kyoto 1985

  10. Yoshino, I., Sakaki, H., Hotta, T.: Surf. Sci.142, 326 (1984)

    Google Scholar 

  11. Heuser, M., Hajdu, J.: Z. Phys.270, 289 (1974)

    Google Scholar 

  12. Hajdu, J., Landwehr, G.: Strong and ultrastrong magnetic fields and their applications. Topics in Applied Physics. Gerlach, F. (ed.), Vol. 57, pp. 17–112. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  13. Handbook of Mathematical Functions. Abramowitz, M., Stegun, I.A. (eds.), pp. 686–720. Washington: National Bureau of Standards 1964

    Google Scholar 

  14. Huckestein, B.: Diploma Thesis, Univ. Würzburg 1985 (unpublished)

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Authors and Affiliations

  1. Physikalisches Institut der Universität Würzburg, Röntgenring 8, D-8700, Würzburg, Federal Republic of Germany

    B. Huckestein & R. Kümmel

Authors
  1. B. Huckestein
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  2. R. Kümmel
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Work supported in part by the Deutsche Forschungsgemeinschaft

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Huckestein, B., Kümmel, R. Electronic structure of quantum wells with in-plane magnetic fields. Z. Physik B - Condensed Matter 66, 475–483 (1987). https://doi.org/10.1007/BF01303897

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  • DOI: https://doi.org/10.1007/BF01303897

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