Skip to main content

Anisotropic state of two-dimensional electron gas in high Landau levels

  • The Quantum Hall Effect
  • Conference paper
  • First Online:
  • 83 Accesses

Part of the book series: Advances in Solid State Physics ((ASSP,volume 40))

Abstract

When several Landau levels of a high mobility two-dimensional electron system are occupied, transport measurements reveal evidence for intriguing new phenomena at low temperature. Near half filling in the N=2 and higher spin-split Landau levels, dramatic resistance anisotropies are observed. Large magnetoresistance peaks form in one direction in the 2D plane while deep minima form in the in the orthogonal direction. Application of a parallel magnetic field can re-orient this anisotropy. Interestingly, in the N=1 Landau level, parallel fields not only suppress the energy gap of the ν=5/2 fractional quantum Hall state but also render the transport highly anisotropic.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. M.P. Lilly, K.B. Cooper, J.P. Eisenstein, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 82, 394 (1999).

    Article  ADS  Google Scholar 

  2. R.R. Du, D.C. Tsui, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin, and K.W. West, Solid State Commun. 109, 389 (1999).

    Article  ADS  Google Scholar 

  3. K.B. Cooper, M.P. Lilly, J.P. Eisenstein, L.N. Pfeiffer, and K.W. West, Phys. Rev. B, 11285 (1999).

    Google Scholar 

  4. M.P. Lilly, K.B. Cooper, J.P. Eisenstein, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett 83, 824 (1999).

    Article  ADS  Google Scholar 

  5. W. Pan, R.R. Du, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K. W. Baldwin, and K.W. West, Phys. Rev. Lett. 83, 820 (1999).

    Article  ADS  Google Scholar 

  6. A.A. Koulakov, M.M. Fogler, and B.I. Shklovskii, Phys. Rev. Lett. 76, 499 (1996); A.A. Koulakov, M.M. Fogler, and B.I. Shklovskii, Phys. Rev. B 54, 1853 (1996); M.M. Fogler and A.A. Koulakov, Phys. Rev. B 55, 9326 (1997).

    Article  ADS  Google Scholar 

  7. R. Moessner and J.T. Chalker, Phys. Rev. B 54, 5006 (1996).

    Article  ADS  Google Scholar 

  8. E.H. Rezayi, F.D.M. Haldane, and K. Yang, Phys. Rev. Lett. 83, 1219 (1999) and cont-mat/0001394.

    Article  ADS  Google Scholar 

  9. E. Fradkin and S.A. Kivelson, Phys. Rev. B 59, 8065 (1999); E. Fradkin, S.A. Kivelson, E. Manousakis, and K. Nho, Phys. Rev. Lett. 84, 1982 (2000).

    Article  ADS  Google Scholar 

  10. H.A. Fertig, Phys. Rev. Lett. 82, 3693 (1999).

    Article  ADS  Google Scholar 

  11. A.H. MacDonald and M.P.A. Fisher, Phys. Rev. B 61, 5724 (2000) and cond-mat/0001021.

    Article  ADS  Google Scholar 

  12. F. von Oppen, B.I. Halperin, and A. Stern, Phys. Rev. Lett. 84, 2937 (2000) and cond-mat/0002087.

    Article  ADS  Google Scholar 

  13. J.P. Eisenstein, M.P. Lilly, K.B. Cooper, L.N. Pfeiffer, and K.W. West, to be published in Physica E, as part of the proceedings of the 11th International Winterschool on New Developments in Solid State Physics held in Mauterndorf, Austria, February, 2000.

    Google Scholar 

  14. S.H. Simon, Phys. Rev. Lett. 83, 4223 (1999).

    Article  ADS  Google Scholar 

  15. C. Orme, M.D. Johnson, J.L. Sudijono, K.T. Leung, and B.G. Orr, Appl. Phys. Lett. 64, 860 (1994).

    Article  ADS  Google Scholar 

  16. For a discussion of the FQHE in tilted fields see the chapter by J.P. Eisenstein in Perspectives in Quantum Hall Effects, edited by S. Das Sarma and A. Pinczuk, (John Wiley, New York, 1997) and references therein.

    Google Scholar 

  17. T. Jungwirth, A.H. MacDonald, L. Smrčka, and S.M. Girvin, Phys. Rev. B 60, 15574 (1999).

    Article  ADS  Google Scholar 

  18. T.D. Stanescu, I. Martin, and P. Phillips, Phys. Rev. Lett. 84, 1288 (2000).

    Article  ADS  Google Scholar 

  19. J.P. Eisenstein, R. Willett, H.L. Stormer, D.C. Tsui, A.C. Gossard, and J.H. English, Phys. Rev. Lett. 61, 997 (1988); J.P. Eisenstein, R.L. Willett, H.L. Stormer, L.N. Pfeiffer, and K.W. West, Surf. Sci. 229, 31 (1990).

    Article  ADS  Google Scholar 

  20. R.H. Morf, Phys. Rev. Lett. 80, 1505 (1998).

    Article  ADS  Google Scholar 

  21. E.H. Rezayi and F.D.M. Haldane, cond-mat/9906137.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Bernhard Kramer

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

About this paper

Cite this paper

Lilly, M.P. et al. (2000). Anisotropic state of two-dimensional electron gas in high Landau levels. In: Kramer, B. (eds) Advances in Solid State Physics 40. Advances in Solid State Physics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108346

Download citation

  • DOI: https://doi.org/10.1007/BFb0108346

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41576-3

  • Online ISBN: 978-3-540-44560-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics