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Effects of Landau Level Coupling on the Magnetic Band Structure for Electrons in a Two-Dimensional Hexagonal Lattice

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Abstract

The single-particle energy spectrum of two-dimensional electrons in a lateral surface superlattice of hexagonal symmetry, subject to a normal uniform magnetic field is investigated. Special attention is focused on the coupling of different Landau levels due to the periodic potential. It is shown that the inclusion of this coupling causes strong modifications of the spectrum compared with the limit of no coupling investigated previously. It is found that the importance of Landau level coupling is mainly determined by the relation between the potential amplitude and the cyclotron energy, as well as the Landau level index.

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References

  1. D. R. Hofstadter, Phys. Rev. B 14, 2239 (1976).

    Article  CAS  Google Scholar 

  2. F. H. Claro and G. H. Wannier, Phys. Rev. B 19, 6068 (1979).

    Article  CAS  Google Scholar 

  3. D. Weiss, M. L. Roukes, A. Menschig, P. Grambow, K. von Klitzing, and G. Weimann, Phys. Rev. Lett. 66, 2790 (1991).

    Article  CAS  Google Scholar 

  4. A. Lorke, J. P. Kotthaus, and K. Ploog, Phys. Rev. B 44, 3447 (1991).

    Article  CAS  Google Scholar 

  5. R. R. Gerhardts, D. Weiss, and U. Wluf, Phys. Rev. B 43, 5192 (1991).

    Article  CAS  Google Scholar 

  6. R. Fleischmann, T. Geisel, and R. Ketzmerick, Phys. Rev. Lett. 68, 1367 (1992).

    Article  CAS  Google Scholar 

  7. D. Pfannkuche and R. Gerhardts, Phys. Rev. B 46, 12606 (1992).

    Article  CAS  Google Scholar 

  8. K. Kern, D. Heitmann, P. Grambow, Y. H. Zhang, and K. Ploog, Phys. Rev. Lett. 66, 1618 (1991).

    Article  CAS  Google Scholar 

  9. H. Silberbauer, J. Phys.: Condens. Matter 4, 7355 (1992)

    Google Scholar 

  10. O. Kühn, V. Fessatidis, H. L. Cui, P. E. Selbmann, and N. J. M. Horing, Phys. Rev. B 47, 13019 (1993).

    Article  Google Scholar 

  11. G. Petschel and T. Geisel, Phys. Rev. Lett. 71, 239 (1993).

    Article  CAS  Google Scholar 

  12. O. Kühn, P. E. Selbmann, V. Fessatidis, and H. L. Cui, J. Phys.: Condens. Matter 5, 8225 (1993).

    Google Scholar 

  13. A. H. MacDonald, Phys. Rev. B 29, 3057 (1983).

    Article  Google Scholar 

  14. V. Fessatidis and H. L. Cui, Phys. Rev. B 43, 11725 (1991).

    Article  CAS  Google Scholar 

  15. D. Langbein, Phys. Rev. 180, 633 (1969).

    Article  Google Scholar 

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Kühn, O., Fessatidis, V., Cui, H.L. et al. Effects of Landau Level Coupling on the Magnetic Band Structure for Electrons in a Two-Dimensional Hexagonal Lattice. MRS Online Proceedings Library 358, 1047 (1994). https://doi.org/10.1557/PROC-358-1047

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  • DOI: https://doi.org/10.1557/PROC-358-1047

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