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Majorana fermions in the interacting T-shaped double quantum dot

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Abstract

Non-equilibrium transport properties of the interacting T-shaped double quantum dot coupled with the topological superconductor are analyzed within the Keldysh Green’s function formalism. The low energy characteristics are found to be influenced by the interplay of quantum interference, electronic correlation, and the Majorana induced interaction such that the system can be driven onto either Kondo, Fano or Majorana dominated regime. It is demonstrated that the presence of the Majorana fermions at the edges of superconducting wire can be realized in the differential conductance and the zero-frequency shot noise when the system’s low energy is strongly influenced by the quantum interference effect.

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References

  1. E. Majorana, Nuovo Cimento 14, 171 (1937)

    Article  Google Scholar 

  2. S. Frolov, S. Plissard, S.N.-Perge, L. Kouwenhoven, E. Bakkers, MRS Bull. 38, 809 (2013)

    Article  Google Scholar 

  3. A.Y. Kitaev, Usp. Fiz. Nauk 44, 131 (2001)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  5. X.L. Qi, T. Hughes, S. Raghu, S.C. Zhang, Phys. Rev. Lett. 102, 187001 (2009)

    Article  ADS  Google Scholar 

  6. J. Alicea, Phys. Rev. B 81, 125318 (2010)

    Article  ADS  Google Scholar 

  7. V. Mourik, K. Zuo, S. Frolov, S. Plissard, E. Bakkers, L. Kouwenhoven, Science 336, 1003 (2012)

    Article  ADS  Google Scholar 

  8. A. Das, Y. Ronen, Y. Most, Y. Oreg, M. Heiblum, H. Shtrikman, Nat. Phys. 8, 887 (2012)

    Article  Google Scholar 

  9. M.D.C.L. Yu, G. Huand, M. Larsson, P. Caroff, H. Xu, Nano. Lett. 12, 6414 (2012)

    Article  ADS  Google Scholar 

  10. H. Churchill, V. Fatemi, K.G. Rasmussen, M.T. Deng, P. Caroff, H.Q. Xu, C.M. Marcus, Phys. Rev. B 87, 241401 (2013)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. K. Law, P. Lee, T. Ng, Phys. Rev. Lett. 103, 237001 (2009)

    Article  ADS  Google Scholar 

  13. K. Flensberg, Phys. Rev. B 82, 180516 (2010)

    Article  ADS  Google Scholar 

  14. M. Wimmer, A. Akhmerov, J. Dahlhaus, C. Beenakker, New. J. Phys. 13, 053016 (2011)

    Article  ADS  Google Scholar 

  15. L. Fidkowski, J. Alicea, N. Lindner, R. Lutchyn, M. Fisher, Phys. Rev. B 85, 245121 (2012)

    Article  ADS  Google Scholar 

  16. J. Liu, A. Potter, K. Law, P. Lee, Phys. Rev. Lett. 109, 267002 (2012)

    Article  ADS  Google Scholar 

  17. D. Liu, H. Baranger, Phys. Rev. B 84, 201308 (2011)

    Article  ADS  Google Scholar 

  18. A. Ueda, T. Yokoyama, Phys. Rev. B 90, 081405 (2014)

    Article  ADS  Google Scholar 

  19. S. Park, J. Moore, H.S. Sim, Phys. Rev. B 89, 161408 (2014)

    Article  ADS  Google Scholar 

  20. A. Zvyagin, Phys. Rev. Lett. 110, 217207 (2013)

    Article  ADS  Google Scholar 

  21. J. Klinovaja, P. Stano, A. Yazdani, D. Loss, Phys. Rev. Lett. 111, 186805 (2013)

    Article  ADS  Google Scholar 

  22. B. Braunecker, P. Simon, Phys. Rev. Lett. 111, 147202 (2013)

    Article  ADS  Google Scholar 

  23. M. Vazifeh, M. Franz, Phys. Rev. Lett. 111, 206802 (2013)

    Article  ADS  Google Scholar 

  24. P. Ioselevich, M. Feigel’man, Phys. Rev. Lett. 106, 077003 (2011)

    Article  ADS  Google Scholar 

  25. A. Black-Schaffer, J. Linder, Phys. Rev. B 83, 220511 (2011)

    Article  ADS  Google Scholar 

  26. A. Zazunov, R. Egger, Phys. Rev. B 85, 104514 (2012)

    Article  ADS  Google Scholar 

  27. C. Müller, J. Bourassa, A. Blais, Phys. Rev. B 88, 235401 (2013)

    Article  ADS  Google Scholar 

  28. A. Brunetti, A. Zazunov, A. Kundu, R. Egger, Phys. Rev. B 88, 144515 (2013)

    Article  ADS  Google Scholar 

  29. D. Sticlet, C. Bena, P. Simon, Phys. Rev. B 87, 104509 (2013)

    Article  ADS  Google Scholar 

  30. M. Houzet, J. Meyer, D. Badiane, Phys. Rev. Lett. 111, 046401 (2013)

    Article  ADS  Google Scholar 

  31. B. Wieder, F. Zhang, C. Kane, Phys. Rev. B 89, 075106 (2014)

    Article  ADS  Google Scholar 

  32. F. Hassler, D. Schuricht, New. J. Phys. 14, 125108 (2014)

    MathSciNet  Google Scholar 

  33. H.J. Chen, K.D. Zhu, RSC Adv. 4, 47587 (2014)

    Article  Google Scholar 

  34. S. Walter, J. Budich, Phys. Rev. B 89, 155431 (2014)

    Article  ADS  Google Scholar 

  35. M. Leijnse, K. Flensberg, Phys. Rev. B 84, 140501 (2011)

    Article  ADS  Google Scholar 

  36. R. López, M. Lee, L. Serra, J. Lim, Phys. Rev. B 89, 205418 (2014)

    Article  ADS  Google Scholar 

  37. Y.L. Lee, J. Phys.: Condens. Matter 26, 455702 (2014)

    ADS  Google Scholar 

  38. R. Žitko, Phys. Rev. B 83, 195137 (2011)

    Article  ADS  Google Scholar 

  39. R. Žitko, P. Simon, Phys. Rev. B 84, 195310 (2011)

    Article  ADS  Google Scholar 

  40. M. Lee, J. Lim, R. López, Phys. Rev. B 87, 241402 (2013)

    Article  ADS  Google Scholar 

  41. A. Golub, I. Kuzmenko, Y. Avishai, Phys. Rev. Lett. 107, 176802 (2011)

    Article  ADS  Google Scholar 

  42. E. Eriksson, C. Mora, A. Zazunov, R. Egger, Phys. Rev. Lett. 113, 076404 (2014)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  44. B. Wu, J. Cao, Phys. Rev. B 85, 085415 (2012)

    Article  ADS  Google Scholar 

  45. Y. Cao, P. Wang, G. Xiong, M. Gong, X.Q. Li, Phys. Rev. B 86, 115311 (2012)

    Article  ADS  Google Scholar 

  46. Y.X. Li, Z.M. Bai, J. Appl. Phys. 114, 033703 (2013)

    Article  ADS  Google Scholar 

  47. J. Jian, J. Wang, F.C. Zhang, Phys. Rev. B 90, 035307 (2014)

    Article  ADS  Google Scholar 

  48. W. Gong, S.-F. Zhang, Z.C. Li, G. Yi, Y.S. Zheng, Phys. Rev. B 89, 245413 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  50. P. Wang, Y. Cao, M. Gong, G. Xiong, X.Q. Li, Europhys. Lett. 103, 57016 (2013)

    Article  ADS  Google Scholar 

  51. A. Finck, D. van Harlingen, P. Mohseni, K. Jung, X. Li, Phys. Rev. Lett 110, 126406 (2013)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  53. Y. Meir, N.S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992)

    Article  ADS  Google Scholar 

  54. B. Dong, X.L. Lei, J. Phys.: Condens. Matter. 14, 4963 (2002)

    ADS  Google Scholar 

  55. N. Bickers, D. Scalapino, S. White, Phys. Rev. Lett. 62, 961 (1989)

    Article  ADS  Google Scholar 

  56. N. Bickers, D. Scalapino, Ann. Phys. 193, 206 (1989)

    Article  ADS  Google Scholar 

  57. S. Hershfield, J. Davies, J. Wilkins, Phys. Rev. Lett. 67, 3720 (1991)

    Article  ADS  Google Scholar 

  58. L. Vaugier, A. Aligia, A. Lobos, Phys. Rev. B 76, 165112 (2007)

    Article  ADS  Google Scholar 

  59. L. Mühlbacher, D.F. Urban, A. Komnik, Phys. Rev. B 83, 075107 (2011)

    Article  ADS  Google Scholar 

  60. F. Haldane, J. Phys. C 11, 5015 (1978)

    Article  ADS  Google Scholar 

  61. U. Fano, Phys. Rev. 124, 1866 (1961)

    Article  MATH  ADS  Google Scholar 

  62. T.S. Kim, S. Hersfield, Phys. Rev. B 63, 245326 (2001)

    Article  ADS  Google Scholar 

  63. L.D. Silva, E. Vernek, K. Ingersent, N. Sandler, S. Ulloa, Phys. Rev. B 87, 205313 (2013)

    Article  ADS  Google Scholar 

  64. Y. Blanter, M. Büttiker, Phys. Rev. 336, 1 (2000)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Laboratory of physics of magnetism and photonic materials, Institut Teknologi Bandung, Ganesha 10, 40134, Bandung, Indonesia

    B. D. Napitu

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Napitu, B.D. Majorana fermions in the interacting T-shaped double quantum dot. Eur. Phys. J. B 88, 290 (2015). https://doi.org/10.1140/epjb/e2015-60613-4

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