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Magnetocapacitance and Edge States

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Abstract

The spatial distribution of edge states at quantum Hall (QH) plateaus has been studied both experimentally and theoretically. In the classical simple picture, the width of the edge states is expected to be of the order of the cyclotron radius, since the electrons move along the sample edge by a skipping motion as shown in Fig. 3.3.1. In the one-electron quantum mechanical picture, the width of the edge states is also of the order of the magnetic length \( l = \sqrt {\hbar /e{\rm B}} \).

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References

  1. C.W.J. Beenakker, Phys. Rev. Lett. 64, 216 (1990)

    Article  Google Scholar 

  2. D.B. Chklovskii, B.I. Shklovskii, and L.I. Glazman, Phys. Rev. B 46, 4026 (1992)

    Article  Google Scholar 

  3. L. Bery, J.J. Palacios, and C. Tejedor, Phys. Rev. B 47, 13884 (1993).

    Article  Google Scholar 

  4. S.W. Hwang, D.C. Tsui, and M. Shayegan, Phys. Rev. B 48, 8161 (1993)

    Article  CAS  Google Scholar 

  5. N.B. Zhitenev, R.J. Haug, K. von Klitzing, and K. Eberl, Phys. Rev. Lett. 71, 2292 (1993)

    Article  CAS  Google Scholar 

  6. T. Machida, H. Hirai, S. Komiyama, T. Osada, and Y. Shiraki, Phys. Rev. B 54, 14261 (1996)

    Article  Google Scholar 

  7. V. Mosser, D. Weiss, K. von Klitzing, K. Ploog, and G. Weimann, Solid State Commun. 58, 5 (1986)

    Article  CAS  Google Scholar 

  8. S. Takaoka, K. Oto, H. Kurimoto, K. Murase, K. Gamo, and S. Nishi, Phys. Rev. Lett. 72, 3080 (1994)

    Article  CAS  Google Scholar 

  9. T.P. Smith, B.B. Goldberg, P.J. Stiles, and M. Heiblum, Phys. Rev. B 32, 2696 (1985)

    Article  CAS  Google Scholar 

  10. K. Oto, S. Takaoka, H. Kurimoto, and K. Murase, Proceedings of 11th International Conference on High Magnetic Fields in Semiconductor Physics ( World Scientific, Singapore, 1995 ) p. 142

    Google Scholar 

  11. R.K. Goodall, R.J. Higgins, and J.P. Harrang, Phys. Rev. B 31, 6597 (1985)

    Article  CAS  Google Scholar 

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© 1998 Springer-Verlag Berlin Heidelberg

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Murase, K., Takaoka, S., Oto, K. (1998). Magnetocapacitance and Edge States. In: Ando, T., Arakawa, Y., Furuya, K., Komiyama, S., Nakashima, H. (eds) Mesoscopic Physics and Electronics. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71976-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-71976-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71978-3

  • Online ISBN: 978-3-642-71976-9

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