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Multiprobe quantum spin Hall bars

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Abstract

We analyze electron transport in multiprobe quantum spin Hall (QSH) bars using the Büttiker formalism and draw parallels with their quantum Hall (QH) counterparts. We find that in a QSH bar the measured resistance changes upon introducing side voltage probes, in contrast to the QH case. We also study four- and six-terminal geometries and derive the expressions for the resistances. For these our analysis is generalized from the single-channel to the multi-channel case and to the inclusion of backscattering originating from a constriction placed within the bar.

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References

  1. M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)

    Article  ADS  Google Scholar 

  2. X.-L. Qi, S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011)

    Article  ADS  Google Scholar 

  3. M. König, H. Buhmann, L.W. Molenkamp, T. Hughes, C.-X. Liu, X.-L. Qi, S.-C. Zhang, J. Phys. Soc. Jpn 77, 031007 (2008)

    Article  ADS  Google Scholar 

  4. M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L.W. Molenkamp, X.-L. Qi, S.-C. Zhang, Science 318, 766 (2007)

    Article  ADS  Google Scholar 

  5. A. Roth, C. Brüne, H. Buhmann, L.W. Molenkamp, J. Maciejko, X.-L. Qi, S.-C. Zhang, Science 325, 294 (2009)

    Article  ADS  Google Scholar 

  6. L. Du, I. Knez, G. Sullivan, R.-R. Du, arXiv:1306.1925 (2013)

  7. S. Murakami, Phys. Rev. Lett. 97, 236805 (2006)

    Article  ADS  Google Scholar 

  8. Y. Xu, B. Yan, H.-J. Zhang, J. Wang, G. Xu, P. Tang, W. Duan, S.-C. Zhang, Phys. Rev. Lett. 111, 136804 (2013)

    Article  ADS  Google Scholar 

  9. F.D.M. Haldane, Phys. Rev. Lett. 61, 2015 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  10. C.L. Kane, E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005)

    Article  ADS  Google Scholar 

  11. M. Büttiker, Phys. Rev. B 38, 9375 (1988)

    Article  ADS  Google Scholar 

  12. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1995)

  13. C. Brüne, A. Roth, E.G. Novik, M. König, H. Buhmann, E.M. Hankiewicz, W. Hanke, J. Sinova, L.W. Molenkamp, Nat. Phys. 6, 448 (2010)

    Article  Google Scholar 

  14. C. Brüne, A. Roth, H. Buhmann, E.M. Hankiewicz, L.W. Molenkamp, J. Maciejko, X.-L. Qi, S.-C. Zhang, Nat. Phys. 8, 485 (2012)

    Article  Google Scholar 

  15. A. Narayan, S. Sanvito, Phys. Rev. B 86, 041104(R) (2012)

    Article  ADS  Google Scholar 

  16. A.P. Protogenov, V.A. Verbus, E.V. Chulkov, Phys. Rev. B 88, 195431 (2013)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Physics, AMBER and CRANN, Trinity College, Dublin 2, Ireland

    Awadhesh Narayan & Stefano Sanvito

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  1. Awadhesh Narayan
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  2. Stefano Sanvito
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Correspondence to Awadhesh Narayan.

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Narayan, A., Sanvito, S. Multiprobe quantum spin Hall bars. Eur. Phys. J. B 87, 43 (2014). https://doi.org/10.1140/epjb/e2014-50042-4

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  • DOI: https://doi.org/10.1140/epjb/e2014-50042-4

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