Skip to main content
SpringerLink
Log in

Auto- and cross-correlations in the spinful topological Kondo model

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

Abstract

The correlations in charge transport in multiple Majorana fermions systems contain much richer physics and carry more information than the conventional transport coefficients. We calculate the auto- and cross-correlations in the spinful topological Kondo model (SKTM) and point out the frequencies dependencies of the correlations that may serve as a proof of the existence of the Majorana fermions in our system, particularly the change of the cross-correlation from positive to negative at higher frequency.

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. C. Nayak, S.H. Simon, A. Stern, M. Freedman, S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008)

    Article  ADS  Google Scholar 

  2. J. Nilsson, A.R. Akhmerov, C.W.J. Beenakker, Phys. Rev. Lett. 101, 120403 (2008)

    Article  ADS  Google Scholar 

  3. L. Fu, C.L. Kane, Phys. Rev. B 79, 161408 (2009)

    Article  ADS  Google Scholar 

  4. J.D. Sau, R.M. Lutchyn, S. Tewari, S. Das Sarma, Phys. Rev. Lett. 104, 040502 (2010)

    Article  ADS  Google Scholar 

  5. D.A. Ivanov, Phys. Rev. Lett. 86, 268 (2001)

    Article  ADS  Google Scholar 

  6. V. Mourik, K. Zuo, S.M. Frolov, S.R. Plissard, E.P.A.M. Bakkers, L.P. Kouwenhoven, Science 336, 1003 (2012)

    Article  ADS  Google Scholar 

  7. M.T. Deng, S. Vaitiekenas, E.B. Hansen, J. Danon, M. Leijnse, K. Flensberg, J. Nygård, P. Krogstrup, C.M. Marcus, Science 354, 1557 (2016)

    Article  ADS  Google Scholar 

  8. R.S. Deacon, J. Wiedenmann, E. Bocquillon, F. Domínguez, T.M. Klapwijk, P. Leubner, C. Brüne, E.M. Hankiewicz, S. Tarucha, K. Ishibashi et al., Phys. Rev. X 7, 021011 (2017)

    Google Scholar 

  9. F. Domínguez, O. Kashuba, E. Bocquillon, J. Wiedenmann, R.S. Deacon, T.M. Klapwijk, G. Platero, L.W. Molenkamp, B. Trauzettel, E.M. Hankiewicz, Phys. Rev. B 95, 195430 (2017)

    Article  ADS  Google Scholar 

  10. J. Picó-Cortés, F. Domínguez, G. Platero, Phys. Rev. B 96, 125438 (2017)

    Article  ADS  Google Scholar 

  11. E. Prada, R. Aguado, P. San-Jose, Phys. Rev. B 96, 085418 (2017)

    Article  ADS  Google Scholar 

  12. M.T. Deng, S. Vaitiekenas, E. Prada, P. San-Jose, J. Nygard, P. Krogstrup, R. Aguado, C.M. Marcus, Phys. Rev. B 98, 085125 (2018)

    Article  ADS  Google Scholar 

  13. P. Středa, P. Šeba, Phys. Rev. Lett. 90, 256601 (2003)

    Article  ADS  Google Scholar 

  14. C.H.L. Quay, T.L. Hughes, J.A. Sulpizio, L.N. Pfeiffer, K.W. Baldwin, K.W. West, D. Goldhaber-Gordon, R. de Picciotto, Nat. Phys. 6, 336 (2010)

    Article  Google Scholar 

  15. F. Domínguez, F. Hassler, G. Platero, Phys. Rev. B 86, 140503(R) (2012)

    Article  ADS  Google Scholar 

  16. S. Heedt, N. Traverso Ziani, F. Crépin, W. Prost, S. Trellenkamp, J. Schubert, D. Grützmacher, B. Trauzettel, T. Schäpers, Nat. Phys. 13, 563 (2017)

    Article  Google Scholar 

  17. C. Fleckenstein, F. Domínguez, N. Traverso Ziani, B. Trauzettel, Phys. Rev. B 97, 155425 (2018)

    Article  ADS  Google Scholar 

  18. C.J. Bolech, E. Demler, Phys. Rev. Lett. 98, 237002 (2007)

    Article  ADS  Google Scholar 

  19. P. Samuelsson, E.V. Sukhorukov, M. Büttiker, Phys. Rev. B 70, 115330 (2004)

    Article  ADS  Google Scholar 

  20. T. Heikkilä, The Physics of Nanoelectronics: Transport and Fluctuation Phenomena at Low Temperatures (OUP, Oxford, 2013)

  21. H.F. Lü, H.Z. Lu, S.Q. Shen, Phys. Rev. B 86, 075318 (2012)

    Article  ADS  Google Scholar 

  22. M. Henny, S. Oberholzer, C. Strunk, C. Schönenberger, Phys. Rev. B 59, 2871 (1999)

    Article  ADS  Google Scholar 

  23. V. Rychkov, M. Büttiker, Phys. Rev. Lett. 96, 166806 (2006)

    Article  ADS  Google Scholar 

  24. S. Oberholzer, E. Bieri, C. Schönenberger, M. Giovannini, J. Faist, Phys. Rev. Lett. 96, 046804 (2006)

    Article  ADS  Google Scholar 

  25. P. Samuelsson, M. Büttiker, Phys. Rev. B 66, 201306 (2002)

    Article  ADS  Google Scholar 

  26. J. Börlin, W. Belzig, C. Bruder, Phys. Rev. Lett. 88, 197001 (2002)

    Article  ADS  Google Scholar 

  27. F. Domínguez, G. Platero, S. Kohler, Chemical Physics 375, 284 (2010)

    Article  ADS  Google Scholar 

  28. I. Neder, M. Heiblum, D. Mahalu, V. Umansky, Phys. Rev. Lett. 98, 036803 (2007)

    Article  ADS  Google Scholar 

  29. O. Kashuba, C. Timm, Phys. Rev. Lett. 114, 116801 (2015)

    Article  ADS  Google Scholar 

  30. B. Béri, N.R. Cooper, Phys. Rev. Lett. 109, 156803 (2012)

    Article  ADS  Google Scholar 

  31. A. Zazunov, A. Altland, R. Egger, New J. Phys. 16, 015010 (2014)

    Article  ADS  Google Scholar 

  32. A. Altland, B. Béri, R. Egger, A.M. Tsvelik, Phys. Rev. Lett. 113, 076401 (2014)

    Article  ADS  Google Scholar 

  33. M. Cheng, M. Becker, B. Bauer, R.M. Lutchyn, Phys. Rev. X 4, 031051 (2014)

    Google Scholar 

  34. M. Lee, J.S. Lim, R. Lopez, Phys. Rev. B 87, 241402 (2013)

    Article  ADS  Google Scholar 

  35. T. Posske, C.X. Liu, J.C. Budich, B. Trauzettel, Phys. Rev. Lett. 110, 016602 (2013)

    Article  ADS  Google Scholar 

  36. T. Posske, B. Trauzettel, Phys. Rev. B 89, 075108 (2014)

    Article  ADS  Google Scholar 

  37. I. Affleck, A.W.W. Ludwig, H.B. Pang, D.L. Cox, Phys. Rev. B 45, 7918 (1992)

    Article  ADS  Google Scholar 

  38. A. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, UK, 1997)

  39. J. Rammer, H. Smith, Rev. Mod. Phys. 58, 323 (1986)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074, Würzburg, Germany

    Oleksiy Kashuba

Authors
  1. Oleksiy Kashuba
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Oleksiy Kashuba.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kashuba, O. Auto- and cross-correlations in the spinful topological Kondo model. Eur. Phys. J. Spec. Top. 227, 1413–1424 (2018). https://doi.org/10.1140/epjst/e2018-800095-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2018-800095-5

Search

Navigation