Skip to main content
SpringerLink
Log in

Transport properties of a 2DEG in the presence of tilted magnetic field: the influence of a 1D modulation

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

The effect of 1D periodic modulation on the transport and thermodynamic properties of a non-interacting two-dimensional electron gas (2DEG) is investigated. The Hamiltonian used also includes a tilted magnetic field, Rashba, and Dresselhauss spin-orbit interactions. The 1D periodic modulation introduces non-quantized regions on Hall conductivity and a non-zero diffusive conductivity. A method to estimate the modulation periodicity is given using the periodicity of Weiss oscillations on the diffusive conductivity.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. T. Mimura, IEEE Trans. Microwave Theory 50, 780 (2002), and references therein

    Article  ADS  Google Scholar 

  2. T. Ando, A.B. Fowler, F. Stern, Rev. Mod. Phys. 54, 437 (1982)

    Article  ADS  Google Scholar 

  3. E.I. Rashba, Sov. Phys. Solid State 2, 1109 (1960)

    Google Scholar 

  4. Y.A. Bychkov, E.I. Rashba, J. Phys. C 17, 6039 (1984)

    Article  ADS  Google Scholar 

  5. G. Dresselhauss, Phys. Rev. 100, 580 (1955)

    Article  ADS  Google Scholar 

  6. R. Winkler, Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems (Springer, Berlin, 2003), and references therein

  7. D. Weiss, K. von Klitzing, K. Ploog, G. Weimann, Europhys. Lett. 8, 179 (1989)

    Article  ADS  Google Scholar 

  8. F.M. Peeters, P. Vasilopoulos, Phys. Rev. B 46, 4667 (1992)

    Article  ADS  Google Scholar 

  9. A. Matulis, F.M. Peeters, Phys. Rev. B 75, 125429 (2007)

    Article  ADS  Google Scholar 

  10. R.R. Gerhardts, D. Weiss, K.V. Klitzing, Phys. Rev. Lett. 62, 1173 (1989)

    Article  ADS  Google Scholar 

  11. C.W.J. Beenakker, Phys. Rev. Lett. 62, 2020 (1989)

    Article  ADS  Google Scholar 

  12. P. Vasilopoulos, F.M. Peeters, Phys. Rev. Lett. 63, 2120 (1989)

    Article  ADS  Google Scholar 

  13. P. Streda, A.H. MacDonald, Phys. Rev. B 41, 11892 (1990)

    Article  ADS  Google Scholar 

  14. R.M. Winkler, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 62, 1177 (1989)

    Article  ADS  Google Scholar 

  15. X.F. Wang, P. Vasilopoulos, F.M. Peeters, Phys. Rev. B 71, 125301 (2005)

    Article  ADS  Google Scholar 

  16. G. Papp, F.M. Peeters, J. Phys.: Condens. Matter 16, 8275 (2004)

    Article  ADS  Google Scholar 

  17. J. Schliemann, J.C. Egues, D. Loss, Phys. Rev. Lett. 90, 146801 (2003)

    Article  ADS  Google Scholar 

  18. J.D. Swalen, L. Pierce, J. Math. Phys. 2, 736 (1961)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. F.F. Fang, P.J. Stiles, Phys. Rev. 174, 823 (1968)

    Article  ADS  Google Scholar 

  20. B. Das, S. Datta, R. Reifenberger, Phys. Rev. B 41, 8278 (1990)

    Article  ADS  Google Scholar 

  21. V.I. Falko, Phys. Rev. B 46, 4320 (1992)

    Article  ADS  Google Scholar 

  22. V.I. Falko, Phys. Rev. Lett. 71, 141 (1993)

    Article  ADS  Google Scholar 

  23. J. Schliemann, J.C. Egues, D. Loss, Phys. Rev. B 67, 085302 (2003)

    Article  ADS  Google Scholar 

  24. X.F. Wang, P. Vasilopoulos, Phys. Rev. B 67, 085313 (2003)

    Article  ADS  Google Scholar 

  25. E. Lipparini, M. Barranco, F. Malet, M. Pi, L. Serra, Phys. Rev. B 74, 115303 (2006)

    Article  ADS  Google Scholar 

  26. T.F.A. Alves, A.C.A. Ramos, G.A. Farias, R.N.C. Filho, N. Almeida, Eur. Phys. J. B 67, 213 (2009)

    Article  ADS  Google Scholar 

  27. T.F.A. Alves, A.C.A. Ramos, G.A. Farias, R.N.C. Filho, N. Almeida, Eur. Phys. J. B 85, 92 (2012)

    Article  ADS  Google Scholar 

  28. D. Stein, K. von Klitzing, G. Weimann, Phys. Rev. Lett. 51, 130 (1983)

    Article  ADS  Google Scholar 

  29. P.E. Prange, Phys. Rev. B 23, 4802 (1981)

    Article  ADS  Google Scholar 

  30. H. Aoki, T. Ando, Solid State Commun. 38, 1079 (1982)

    Article  ADS  Google Scholar 

  31. P. Vasilopoulos, Phys. Rev. B 32, 771 (1985)

    Article  ADS  Google Scholar 

  32. X.F. Wang, P. Vasilopoulos, Phys. Rev. B 72, 085344 (2005)

    Article  ADS  Google Scholar 

  33. K.M. van Vliet, J. Math. Phys. 20, 2573 (1979)

    Article  ADS  Google Scholar 

  34. M. Charbonneau, K.M. van Vliet, P. Vasilopoulos, J. Math. Phys. 23, 318 (1982)

    Article  ADS  Google Scholar 

  35. G. Gumbs, A. Balassis, D. Huang, S. Ahmed, R. Brennan, J. Appl. Phys. 110, 073709 (2011)

    Article  ADS  Google Scholar 

  36. Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  37. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal do Piauí, Campus Ministro Petrônio Portela, 64049-550, Teresina, Piauí, Brasil

    Raimundo W. B. dos Santos & Tayroni F. A. Alves

  2. Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760, Fortaleza, Ceará, Brasil

    Gil A. Farias & Raimundo N. Costa Filho

  3. Departamento de Física, Universidade do Estado do Rio Grande do Norte, 50610-210, Mossoró, Rio Grande do Norte, Brasil

    Nilson S. Almeida

Authors
  1. Raimundo W. B. dos Santos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tayroni F. A. Alves
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Gil A. Farias
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Raimundo N. Costa Filho
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Nilson S. Almeida
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tayroni F. A. Alves.

Rights and permissions

Reprints and permissions

About this article

Cite this article

dos Santos, R.W.B., Alves, T.F.A., Farias, G.A. et al. Transport properties of a 2DEG in the presence of tilted magnetic field: the influence of a 1D modulation. Eur. Phys. J. B 86, 192 (2013). https://doi.org/10.1140/epjb/e2013-30916-7

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2013-30916-7

Keywords

Search

Navigation