Skip to main content
SpringerLink
Log in

Transport and thermodynamic properties of a 2DEG in the presence of tilted magnetic field: the influence of Dresselhauss interaction

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

Abstract

The effect of Dresselhauss spin-orbit coupling on transport and thermodynamic properties of a non-interacting two-dimensional electron gas (2DEG) is investigated. The Hamiltonian used also includes a tilted magnetic field and a Rashba spin-orbit interaction. The Dresselhauss spin-orbit interaction, likewise the Rashba spin-orbit interaction, introduces a beating pattern in the conductivity tensor and in the magnetization along the field direction. A method to estimate the contribution of the Rashba and Dresselhauss interactions to the beating pattern is given using the periodicity of the beating patterns.

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 T. Microw. Theory 50, 780 (2002), and references therein

    Article  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: Solid State Phys. 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, 2003), and references therein

  7. J. Nitta, T. Agazaki, H. Takayanagi, T. Enoki, Phys. Rev. Lett. 78, 1335 (1997)

    Article  ADS  Google Scholar 

  8. J. Nitta, T. Agazaki, H. Takayanagi, J. Osaka, P. Pfeffer, W. Zawadzki, Phys. Rev. B 60, 7736 (1999)

    Article  ADS  Google Scholar 

  9. G. Engels, L. Lange, Th. Schppers, H. Lth, Phys. Rev. B 55, R1958 (1997)

    Article  ADS  Google Scholar 

  10. D. Grundler, Phys. Rev. Lett. 84, 6074 (2000)

    Article  ADS  Google Scholar 

  11. J.P. Heida, B.J. van Wees, J.J. Kuipers, T.M. Klapwijk, G. Borghs, Phys. Rev. B 57, 11911 (1998)

    Article  ADS  Google Scholar 

  12. L.W. Molemkamp, G. Schmidt, G.E.W. Bauer, Phys. Rev. B 64, R121202 (2001)

    Article  ADS  Google Scholar 

  13. T. Koga, J. Nitta, T. Agazaki, H. Takayanagi, Phys. Rev. Lett. 89, 046801 (2002)

    Article  ADS  Google Scholar 

  14. J. Luo, H. Munekata, F.F. Fang, P.J. Stiles, Phys. Rev. B 38, 10142 (1988)

    Article  ADS  Google Scholar 

  15. J. Luo, H. Munekata, F.F. Fang, P.J. Stiles, Phys. Rev. B 41, 7685 (1990)

    Article  ADS  Google Scholar 

  16. T. Schapers, G. Engels, J. Lange, T. Klocke, M. Hollfelder, H. Lth, J. Appl. Phys. 83, 4324 (1998)

    Article  ADS  Google Scholar 

  17. B. Das, D.C. Miller, S. Datta, R. Reifenberger, W.P. Hong, P.K. Bhattacharya, J. Singh, M. Jaffe, Phys. Rev. B 39, 1411 (1989)

    Article  ADS  Google Scholar 

  18. C.M. Hu, J. Nitta, T. Agazaki, H. Takayanagi, J. Osaka, P. Pfeffer, W. Zawadzki, Phys. Rev. B 60, 7736 (1999)

    Article  ADS  Google Scholar 

  19. P. Pfeffer, W. Zawadzki, Phys. Rev. B 59, R5312 (1999)

    Article  ADS  Google Scholar 

  20. S. Brosig, K. Ensslin, R.J. Warburton, C. Nguyen, B. Brar, M. Thomas, H. Kroemer, Phys. Rev. B 60, R13989 (1999)

    Article  ADS  Google Scholar 

  21. S.D. Ganichev et al., Phys. Rev. Lett 92, 256601 (2004)

    Article  ADS  Google Scholar 

  22. L. Meier, G. Salis, I. Shorubalko, E. Gini, S. Schon, K. Ensslin, Nature Phys. 3, 650 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  34. 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 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  40. R. Kubo, J. Phys. Soc. Jpn 12, 570 (1957)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  42. S.K. Lyo, D. Huang, Phys. Rev. B 68, 115317 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  44. G. Gumbs, A. Balassis, D. Huang, S. Ahmed, R. Brennan, (2011), arXiv:cond-mat p. 1108.0359v1

  45. G.G., H.D., Phys. Lett. A 373, 2506 (2009)

    Article  ADS  Google Scholar 

  46. G.G., B.A., H.D., J. Appl. Phys. 108, 093704 (2009)

  47. T. Haavasoja, H.L. Störmer, D.J. Bishop, V. Narayanamurti, A.C. Gossard, W. Wiegmann, Surf. Sci. 142, 294 (1984)

    Article  ADS  Google Scholar 

  48. D. Huang, S.K. Lyo, K.J. Thomas, M. Pepper, Phys. Rev. B 085320, 115317 (2008)

    Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  50. 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

    T. F. A. Alves

  2. Universidade Federal do Ceará, Campus do Cariri, 63030-200, Juazeiro do Norte, Ceará, Brasil

    A. C. A. Ramos

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

    G. A. Farias & R. N. Costa Filho

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

    N. S. Almeida

Authors
  1. T. F. A. Alves
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. C. A. Ramos
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. A. Farias
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. N. Costa Filho
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. N. S. Almeida
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. F. A. Alves.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alves, T.F.A., Ramos, A.C.A., Farias, G.A. et al. Transport and thermodynamic properties of a 2DEG in the presence of tilted magnetic field: the influence of Dresselhauss interaction. Eur. Phys. J. B 85, 92 (2012). https://doi.org/10.1140/epjb/e2012-20649-6

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2012-20649-6

Keywords

Search

Navigation