Skip to main content
Log in

Quasiparticle cooling using a topological insulator–superconductor hybrid junction

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

Abstract

In this work, we investigate the thermoelectric properties of a hybrid junction realised coupling surface states of a three-dimensional topological insulator with a conventional s-wave superconductor. We focus on the ballistic devices and study the quasiparticle flow, carrying both electric and thermal currents, adopting a scattering matrix approach based on conventional Blonder–Tinkham–Klapwijk formalism. We calculate the cooling efficiency of the junction as a function of the microscopic parameters of the normal region (i.e. the chemical potential, etc.). The cooling power increases when moving from a regime of Andreev specular-reflection to a regime where Andreev retro-reflection dominates. Differently from the case of a conventional N/S interface, we can achieve efficient cooling of the normal region, without including any explicit impurity scattering at the interface, to increase normal reflection.

This is a preview of subscription content, log in via an institution to check access.

Access this article

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. N. Xu, Y. Xu, J. Zhu, npj Quantum Mater. 2, 105 (2017)

    Google Scholar 

  2. J.P. Heremans, V. Jovovic, E.S. Toberer, A. Saramat, K. Kurosaki, A. Charoenphakdee, S. Yamanaka, G.J. Snyder, Science 321, 554 (2008)

    Article  ADS  Google Scholar 

  3. K. Biswas et al., Nature 489, 414 (2012)

    Article  ADS  Google Scholar 

  4. L. Kranz et al., Nat. Commun. 4, 894 (2013)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Y. Ando, J. Phys. Soc. Jpn 82, 102001 (2013)

    Article  ADS  Google Scholar 

  8. J.H. Bardarson, J.E. Moore, Rep. Prog. Phys. 76, 056501 (2013)

    Article  ADS  Google Scholar 

  9. S. Murakami et al., J. Phys.: Conf. Ser. 334, 012013 (2011)

    Google Scholar 

  10. R. Takahashi, S. Murakami, Semicond. Sci. Technol. 27, 124005 (2012)

    Article  ADS  Google Scholar 

  11. A. Bardas, D. Averin, Phys. Rev. B 52, 12873 (1995)

    Article  ADS  Google Scholar 

  12. F. Giazotto, T.T. Heikkilä, A. Luukanen, A.M. Savin, J.P. Pekola, Rev. Mod. Phys. 78, 217 (2006)

    Article  ADS  Google Scholar 

  13. P.J. Lowella, G.C. O’Neil, J.M. Underwood, J.N. Ullom, App. Phys. Lett. 102, 082601 (2013)

    Article  ADS  Google Scholar 

  14. S. Rajauria et al., Phys. Rev. Lett. 100, 201002 (2008)

    Article  Google Scholar 

  15. F. Giazotto, F. Taddei, R. Fazio, F. Beltram, Appl. Phys. Lett. 80, 3784 (2002)

    Article  ADS  Google Scholar 

  16. S.A. Wolf et al., Science 14294, 1488 (2001)

    Article  ADS  Google Scholar 

  17. S. Kawabata et al., Appl. Phys. Lett. 103, 032602 (2013)

    Article  ADS  Google Scholar 

  18. C.W.J. Beenakker, Phys. Rev. Lett. 97, 067007 (2006)

    Article  ADS  Google Scholar 

  19. J. Wiedenmann et al., Phys. Rev. B 96, 165302 (2017)

    Article  ADS  Google Scholar 

  20. H. Li, Y.Y. Zhao, J. Phys.: Condens. Matter 29, 465001 (2017)

    ADS  Google Scholar 

  21. L. Majidi, R. Asgari, Phys. Rev. B 93, 1228 (2016)

    Article  Google Scholar 

  22. D. Bercioux, P. Lucignano, Rep. Prog. Phys. 78, 106001 (2015)

    Article  ADS  Google Scholar 

  23. L. Fu, C. Kane, Phys. Rev. Lett. 100, 096407 (2008)

    Article  ADS  Google Scholar 

  24. T.D. Stanescu, J.D. Sau, R.M. Lutchyn, S. Das Sarma, Phys. Rev. B 81, 241310 (2010)

    Article  ADS  Google Scholar 

  25. G. Tkachov, E.M. Hankiewicz, Phys. Stat. Sol. (b) 250, 215 (2013)

    Article  ADS  Google Scholar 

  26. L. Galletti et al., Phys. Rev. B 89, 134512 (2014)

    Article  ADS  Google Scholar 

  27. M. Veldhorst et al., Nat. Mater. 11, 417 (2012)

    Article  ADS  Google Scholar 

  28. P.G. De Gennes, Superconductivity of metals and alloys (Westview Press, USA, 1999)

  29. G. Tkachov, E.M. Hankiewicz, Phys. Rev. B 88, 075401 (2013)

    Article  ADS  Google Scholar 

  30. J. Cayssol, Phys. Rev. Lett. 100, 147001 (2008)

    Article  ADS  Google Scholar 

  31. G.E. Blonder, M. Tinkham, T.M. Klapwijk, Phys. Rev. B 25, 4515 (1982)

    Article  ADS  Google Scholar 

  32. N.A. Mortensen, K. Flensberg, A.-P. Jauho, Phys. Rev. B 59, 10176 (1999)

    Article  ADS  Google Scholar 

  33. M.M. Leivo, J.P. Pekola, D.V. Averin, Appl. Phys. Lett. 68, 1996 (1998)

    Article  ADS  Google Scholar 

  34. M. Rouco, T.T. Heikkilä, F.S. Bergeret, Phys. Rev. B 97, 014529 (2018)

    Article  ADS  Google Scholar 

  35. J. Linder, A. Sudbo, Phys. Rev. B 77, 064507 (2008)

    Article  ADS  Google Scholar 

  36. B. Sothmann, E.M. Hankiewicz, Phys. Rev. B 94, 081407 (2016)

    Article  ADS  Google Scholar 

  37. B. Sothmann, F. Giazotto, E.M. Hankiewicz, New J. Phys. 19, 023056 (2017)

    Article  ADS  Google Scholar 

  38. P. Schwab, R. Raimondi, C. Gorini, EPL 93, 67004 (2011)

    Article  ADS  Google Scholar 

  39. D. Culcer, Physica E 44, 860 (2012)

    Article  ADS  Google Scholar 

  40. S. Weinberg, The Quantum Theory of Fields (Cambridge University Press, Cambridge, England, 1995)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dario Bercioux.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bercioux, D., Lucignano, P. Quasiparticle cooling using a topological insulator–superconductor hybrid junction. Eur. Phys. J. Spec. Top. 227, 1361–1375 (2018). https://doi.org/10.1140/epjst/e2018-00069-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2018-00069-3

Navigation