Advertisement

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

  • Raimundo W. B. dos Santos
  • Tayroni F. A. AlvesEmail author
  • Gil A. Farias
  • Raimundo N. Costa Filho
  • Nilson S. Almeida
Regular Article

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.

Keywords

Mesoscopic and Nanoscale Systems 

References

  1. 1.
    T. Mimura, IEEE Trans. Microwave Theory 50, 780 (2002), and references thereinADSCrossRefGoogle Scholar
  2. 2.
    T. Ando, A.B. Fowler, F. Stern, Rev. Mod. Phys. 54, 437 (1982)ADSCrossRefGoogle Scholar
  3. 3.
    E.I. Rashba, Sov. Phys. Solid State 2, 1109 (1960)Google Scholar
  4. 4.
    Y.A. Bychkov, E.I. Rashba, J. Phys. C 17, 6039 (1984) ADSCrossRefGoogle Scholar
  5. 5.
    G. Dresselhauss, Phys. Rev. 100, 580 (1955) ADSCrossRefGoogle Scholar
  6. 6.
    R. Winkler, Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems (Springer, Berlin, 2003), and references thereinGoogle Scholar
  7. 7.
    D. Weiss, K. von Klitzing, K. Ploog, G. Weimann, Europhys. Lett. 8, 179 (1989)ADSCrossRefGoogle Scholar
  8. 8.
    F.M. Peeters, P. Vasilopoulos, Phys. Rev. B 46, 4667 (1992) ADSCrossRefGoogle Scholar
  9. 9.
    A. Matulis, F.M. Peeters, Phys. Rev. B 75, 125429 (2007) ADSCrossRefGoogle Scholar
  10. 10.
    R.R. Gerhardts, D. Weiss, K.V. Klitzing, Phys. Rev. Lett. 62, 1173 (1989) ADSCrossRefGoogle Scholar
  11. 11.
    C.W.J. Beenakker, Phys. Rev. Lett. 62, 2020 (1989) ADSCrossRefGoogle Scholar
  12. 12.
    P. Vasilopoulos, F.M. Peeters, Phys. Rev. Lett. 63, 2120 (1989) ADSCrossRefGoogle Scholar
  13. 13.
    P. Streda, A.H. MacDonald, Phys. Rev. B 41, 11892 (1990) ADSCrossRefGoogle Scholar
  14. 14.
    R.M. Winkler, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 62, 1177 (1989) ADSCrossRefGoogle Scholar
  15. 15.
    X.F. Wang, P. Vasilopoulos, F.M. Peeters, Phys. Rev. B 71, 125301 (2005) ADSCrossRefGoogle Scholar
  16. 16.
    G. Papp, F.M. Peeters, J. Phys.: Condens. Matter 16, 8275 (2004) ADSCrossRefGoogle Scholar
  17. 17.
    J. Schliemann, J.C. Egues, D. Loss, Phys. Rev. Lett. 90, 146801 (2003) ADSCrossRefGoogle Scholar
  18. 18.
    J.D. Swalen, L. Pierce, J. Math. Phys. 2, 736 (1961)MathSciNetADSzbMATHCrossRefGoogle Scholar
  19. 19.
    F.F. Fang, P.J. Stiles, Phys. Rev. 174, 823 (1968) ADSCrossRefGoogle Scholar
  20. 20.
    B. Das, S. Datta, R. Reifenberger, Phys. Rev. B 41, 8278 (1990) ADSCrossRefGoogle Scholar
  21. 21.
    V.I. Falko, Phys. Rev. B 46, 4320 (1992) ADSCrossRefGoogle Scholar
  22. 22.
    V.I. Falko, Phys. Rev. Lett. 71, 141 (1993)ADSCrossRefGoogle Scholar
  23. 23.
    J. Schliemann, J.C. Egues, D. Loss, Phys. Rev. B 67, 085302 (2003) ADSCrossRefGoogle Scholar
  24. 24.
    X.F. Wang, P. Vasilopoulos, Phys. Rev. B 67, 085313 (2003) ADSCrossRefGoogle Scholar
  25. 25.
    E. Lipparini, M. Barranco, F. Malet, M. Pi, L. Serra, Phys. Rev. B 74, 115303 (2006) ADSCrossRefGoogle Scholar
  26. 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)ADSCrossRefGoogle Scholar
  27. 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)ADSCrossRefGoogle Scholar
  28. 28.
    D. Stein, K. von Klitzing, G. Weimann, Phys. Rev. Lett. 51, 130 (1983)ADSCrossRefGoogle Scholar
  29. 29.
    P.E. Prange, Phys. Rev. B 23, 4802 (1981) ADSCrossRefGoogle Scholar
  30. 30.
    H. Aoki, T. Ando, Solid State Commun. 38, 1079 (1982) ADSCrossRefGoogle Scholar
  31. 31.
    P. Vasilopoulos, Phys. Rev. B 32, 771 (1985)ADSCrossRefGoogle Scholar
  32. 32.
    X.F. Wang, P. Vasilopoulos, Phys. Rev. B 72, 085344 (2005) ADSCrossRefGoogle Scholar
  33. 33.
    K.M. van Vliet, J. Math. Phys. 20, 2573 (1979) ADSCrossRefGoogle Scholar
  34. 34.
    M. Charbonneau, K.M. van Vliet, P. Vasilopoulos, J. Math. Phys. 23, 318 (1982)ADSCrossRefGoogle Scholar
  35. 35.
    G. Gumbs, A. Balassis, D. Huang, S. Ahmed, R. Brennan, J. Appl. Phys. 110, 073709 (2011) ADSCrossRefGoogle Scholar
  36. 36.
    Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984)MathSciNetADSCrossRefGoogle Scholar
  37. 37.
    Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959) MathSciNetADSzbMATHCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Raimundo W. B. dos Santos
    • 1
  • Tayroni F. A. Alves
    • 1
    Email author
  • Gil A. Farias
    • 2
  • Raimundo N. Costa Filho
    • 2
  • Nilson S. Almeida
    • 3
  1. 1.Departamento de FísicaUniversidade Federal do PiauíTeresinaBrasil
  2. 2.Departamento de FísicaUniversidade Federal do CearáFortalezaBrasil
  3. 3.Departamento de FísicaUniversidade do Estado do Rio Grande do NorteMossoróBrasil

Personalised recommendations