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Spin-dependent electron transport in a Rashba quantum wire with rough edges

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Abstract

We investigate theoretically the spin-dependent electron transport in a Rashba quantum wire with rough edges. The charge and spin conductances are calculated as function of the electron energy and wire length by adopting the spin-resolved lattice Green function method. For a single disordered Rashba wire, it is found that the charge conductance quantization is destroyed by the edge disorder. However, a nonzero spin conductance can be generated and its amplitude can be manipulated by varying the wire length, which is attributed to the broken structure symmetries and the spin-dependent quantum interference induced by the rough boundaries. For a large ensemble of disordered Rashba wires, the average charge conductance decreases monotonically, however, the average spin conductance increases to a maximum value and then decreases, with increasing wire length. Further study shows that the influence of the rough edges on the charge and spin conductances can be eliminated by applying a perpendicular magnetic field to the wire. In addition, a very large magnitude of the spin conductance can be achieved when the electron energy lies between the two thresholds of each pair of subbands. These findings may not only benefit to further apprehend the transport properties of the Rashba low-dimensional systems but also provide some theoretical instructions to the application of spintronics devices.

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References

  1. S. Datta, S. Das Sarma, Appl. Phys. Lett. 56, 665 (1990)

    Article  ADS  Google Scholar 

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

    Google Scholar 

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

    Article  ADS  Google Scholar 

  4. I. Zutic, J. Fabian, S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004)

    Article  ADS  Google Scholar 

  5. L. Saminadayar, C. Bäuerle, D. Mailly, Encyclopedia of Nanoscience and Nanotechnology, edited by Nalwa (American Scientific, Valencia, CA, 2004), Vol. 3, pp. 267–285

  6. K. Nikolić, A. MacKinnon, Phys. Rev. B 47, 6555 (1992)

    Article  ADS  Google Scholar 

  7. S. Nonoyama, A. Nakamura, Y. Aoyagi, T. Sugano, A. Okiji, Phys. Rev. B 47, 2423 (1993)

    Article  ADS  Google Scholar 

  8. K. Nikolić, A. MacKinnon, Phys. Rev. B 50, 11008 (1994)

    Article  ADS  Google Scholar 

  9. R. Šordan, K. Nikolić, Phys. Rev. B 52, 9007 (1995)

    Article  ADS  Google Scholar 

  10. A. García-Martín, J.A. Torres, J.J. Sáenz, M. Nieto-Vesperinas, Phys. Rev. Lett. 80, 4165 (1998)

    Article  ADS  Google Scholar 

  11. J.A. Sánchez-Gil, V. Freiliker, A.A. Maradudin, I.V. Yurkevich, Phys. Rev. B 59, 5915 (1999)

    Article  ADS  Google Scholar 

  12. A. García-Martín, J.J. Sáenz, Phys. Rev. Lett. 87, 116603 (2001)

    Article  ADS  Google Scholar 

  13. P. Markoš, Acta Physica Slovaca 56, 651 (2006)

    Google Scholar 

  14. L.S. Froufe-Pérez, M. Yépez, P.M. Melo, J.J. Sáenz, Phys. Rev. E 75, 031113 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  15. J. Feilhauer, M. Moško, Phys. Rev. B 83, 245328 (2011)

    Article  ADS  Google Scholar 

  16. A.M. Gilbertson, M. Fearn, A. Kormányos, D.E. Read, C.J. Lambert, M.T. Emeny, T. Ashley, S.A. Solin, L.F. Cohen, Phys. Rev. B 83, 075304 (2011)

    Article  ADS  Google Scholar 

  17. A.M. Gilbertson, D. Benstock, M. Fearn, A. Kormányos, S. Ladak, M.T. Emeny, C.J. Lambert, T. Ashley, S.A. Solin, L. Cohen, Appl. Phys. Lett. 98, 062106 (2011)

    Article  ADS  Google Scholar 

  18. Q.W. Shi, J. Zhou, M.W. Wu, Appl. Phys. Lett. 85, 2547 (2004)

    Article  ADS  Google Scholar 

  19. M. Yamamoto, T. Ohtsuki, B. Kramer, Phys. Rev. B 72, 115321 (2005)

    Article  ADS  Google Scholar 

  20. J. Ohe, M. Yamamoto, T. Ohtsuki, J. Nitta, Phys. Rev. B 72, 041308(R) (2005)

    Article  ADS  Google Scholar 

  21. J. Rebei, O. Heinonen, Phys. Rev. B 73, 153306 (2006)

    Article  ADS  Google Scholar 

  22. M. Yamamoto, B. Kramer, J. Appl. Phys. 103, 123703 (2008)

    Article  ADS  Google Scholar 

  23. L. Wang, K. Shen, S.Y. Cho, M.W. Wu, J. Appl. Phys 104, 123709 (2008)

    Article  ADS  Google Scholar 

  24. K. Shen, M.W. Wu, Phys. Rev. B 77, 193305 (2008)

    Article  ADS  Google Scholar 

  25. X.B. Xiao, Y.G. Chen, Europhys. Lett. 90, 47004 (2010)

    Article  ADS  Google Scholar 

  26. X.B. Xiao, Y.G. Chen, J. Appl. Phys. 108, 093717 (2010)

    Article  ADS  Google Scholar 

  27. E.Y. Sherman, Phys. Rev. B 67, 161303(R) (2003)

    ADS  Google Scholar 

  28. A. Ström, H. Johannesson, G.I. Japaridze, Phys. Rev. Lett. 104, 256804 (2010)

    Article  ADS  Google Scholar 

  29. Y. Ban, E.Y. Sherman, Appl. Phys. Lett. 99, 112101 (2011)

    Article  ADS  Google Scholar 

  30. J. Wang, H.B. Sun, D.Y. Xing, Phys. Rev. B 69, 085304 (2004)

    Article  ADS  Google Scholar 

  31. P.A. Lee, D.S. Fisher, Phys. Rev. Lett. 47, 882 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  32. T. Ando, Phys. Rev. B 44, 8017 (1991)

    Article  ADS  Google Scholar 

  33. M.J. Clennan, Y. Lee, S. Datta, Phys. Rev. B 43, 13846 (1991)

    Article  ADS  Google Scholar 

  34. H.U. Baranger, D.P. Divincenzo, R.A. Jalaber, A.D. Stone, Phys. Rev. B 44, 10637 (1991)

    Article  ADS  Google Scholar 

  35. A. MacKinnon, Z. Phys. B 59, 385 (1985)

    Article  ADS  Google Scholar 

  36. M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986)

    Article  ADS  Google Scholar 

  37. D.V. Khomitsky, Phys. Rev. B 79, 205401 (2009)

    Article  ADS  Google Scholar 

  38. Z.Y. Zhang, J. Phys.: Condens. Matter 19, 016209 (2007)

    Article  ADS  Google Scholar 

  39. F. Zhai, H.Q. Xu, Phys. Rev. B 76, 035306 (2007)

    Article  ADS  Google Scholar 

  40. P.A. Lee, A.D. Stone, Phys. Rev. Lett. 55, 1622 (1985)

    Article  ADS  Google Scholar 

  41. P.A. Lee, A.D. Stone, H. Fukuyama, Phys. Rev. B 35, 1039 (1987)

    Article  ADS  Google Scholar 

  42. G.W. Bryant, Phys. Rev. B 44, 12837 (1991)

    Article  ADS  Google Scholar 

  43. J.B. Pendry, J. Phys. C 20, 733 (1987)

    Article  ADS  Google Scholar 

  44. F. Mireles, G. Kirczenow, Phys. Rev. B 64, 024426 (2001)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Computer, Jiangxi University of Traditional Chinese Medicine, Nanchang, 330004, P.R. China

    X. B. Xiao & H. L. Li

  2. Institute for Advanced Study, Nanchang University, Nanchang, 330031, P.R. China

    X. B. Xiao & N. H. Liu

  3. Department of Physics and Key Laboratory for Low-Dimensional Quantum Structures and Manipulation (Ministry of Education), Hunan Normal University, Changsha, 410081, P.R. China

    G. H. Zhou

Authors
  1. X. B. Xiao
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  2. H. L. Li
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  3. G. H. Zhou
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  4. N. H. Liu
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Correspondence to N. H. Liu.

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Xiao, X.B., Li, H.L., Zhou, G.H. et al. Spin-dependent electron transport in a Rashba quantum wire with rough edges. Eur. Phys. J. B 85, 305 (2012). https://doi.org/10.1140/epjb/e2012-30335-4

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  • DOI: https://doi.org/10.1140/epjb/e2012-30335-4

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