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Aharonov–Bohm effect modified by the Majorana bound states in a parallel double-quantum-dot structure

  • Original Paper - Condensed Matter
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Abstract

By considering two topological superconductors to be side-coupled to the quantum dots of the parallel double-quantum-dot structure, we investigate the influence of Majorana bound states (MBSs) on the Aharonov–Bohm (AB) effect in the electron transport processes. It is found that due to the nonzero Andreev reflection induced by MBSs, the AB oscillation of the conductance spectra displays nontrivial variations, manifested as the changes of the maximum and minimum of the conductance. Even in the presence of symmetric bias voltage, the coexistence of local and crossed Andreev reflections leads to the new relationship between the conductance magnitude and magnetic flux phase factor. The results of low-bias Fano factors show that all these phenomena are related to the interplay between the respective transport processes which are determined by the AB effect and dot-MBS coupling manners. It can be believed that the findings in this work can be helpful in further understanding the transport properties of the parallel double quantum dots with the side-coupling of MBSs.

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References

  1. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  ADS  MathSciNet  Google Scholar 

  2. Y. Gefen, Y. Imry, M.. Ya.. Azbel, Phys. Rev. Lett. 52, 129 (1984)

    Article  ADS  Google Scholar 

  3. S. Olariu, I.I. Popescu, Rev. Mod. Phys. 57, 339 (1985)

    Article  ADS  Google Scholar 

  4. Y. Aharonov, J. Anandan, Phys. Rev. Lett. 58, 1593 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  5. W.G. van der Wiel, S. De Franceschi, T. Fujisawa, J.M. Elzerman, S. Tarucha, L.P. Kouwenhoven, Science 289, 2105 (2000)

    Article  ADS  Google Scholar 

  6. A.L. Yeyati, M. Büttiker, Phys. Rev. B 52, R14360 (1995)

    Article  ADS  Google Scholar 

  7. G. Hackenbroich, H.A. Weidenmüller, Phys. Rev. Lett. 76, 110 (1996)

    Article  ADS  Google Scholar 

  8. C. Bruder, R. Fazio, H. Schoeller, Phys. Rev. Lett. 76, 114 (1996)

    Article  ADS  Google Scholar 

  9. R. Baltin, Y. Gefen, Phys. Rev. Lett. 83, 5094 (1999)

    Article  ADS  Google Scholar 

  10. O. Entin-Wohlman, A. Aharony, Y. Imry, Y. Levinson, A. Schiller, Phys. Rev. Lett. 88, 166801 (2002)

    Article  ADS  Google Scholar 

  11. U. Gerland, J.V. Delft, T.A. Costi, Y. Oreg, Phys. Rev. Lett. 84, 3710 (2000)

    Article  ADS  Google Scholar 

  12. A.E. Miroshnichenko, S. Flach, Y.S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010)

    Article  ADS  Google Scholar 

  13. W. Hofstetter, J. König, H. Schoeller, Phys. Rev. Lett. 87(156), 803 (2001)

    Google Scholar 

  14. O. Entin-Wohlman, A. Aharony, Y. Imry, Y. Levinson, J. Low Temp. Phys. 126, 1251 (2002)

    Article  ADS  Google Scholar 

  15. T.V. Shahbazyan, M.E. Raikh, Phys. Rev. B 49, 17123 (1994)

    Article  ADS  Google Scholar 

  16. H. Akera, Phys. Rev. B 47, 6835 (1993)

    Article  ADS  Google Scholar 

  17. D. Loss, E.V. Sukhorukov, Phys. Rev. Lett. 84, 1035 (2000)

    Article  ADS  Google Scholar 

  18. J. König, Y. Gefen, Phys. Rev. Lett. 86, 3855 (2001)

    Article  ADS  Google Scholar 

  19. J. König, Y. Gefen, Phys. Rev. B 65, 045316 (2002)

    Article  ADS  Google Scholar 

  20. D. Boese, W. Hofstetter, H. Schoeller, Phys. Rev. B 64, 125309 (2001)

    Article  ADS  Google Scholar 

  21. R.A. Niyazov, D.N. Aristov, V. Yu, Kachorovskii. Phys. Rev. B 103, 125428 (2021)

    Article  ADS  Google Scholar 

  22. J. Behera, S. Bedkihal, B.K. Agarwalla, M. Bandyopadhyay, Phys. Rev. B 108, 165419 (2023)

    Article  ADS  Google Scholar 

  23. W. Hofstetter, H. Schoeller, Phys. Rev. Lett. 88, 016803 (2002)

    Article  ADS  Google Scholar 

  24. A.Y. Kitaev, Physics-Uspekhi 44, 131 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  26. Y. Oreg, G. Refael, F.V. Oppen, Phys. Rev. Lett. 105, 177002 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. R.M. Lutchyn, J.D. Sau, S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. R.M. Lutchyn, E.P.A.M. Bakkers, L.P. Kouwenhoven, P. Krogstrup, C.M. Marcus, Y. Oreg, Nat. Rev. Mater. 3, 52 (2018)

    Article  ADS  Google Scholar 

  31. 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 

  32. F. Nichele, A.C.C. Drachmann, A.M. Whiticar, E.C.T. O’Farrell, H.J. Suominen, A. Fornieri, T. Wang, G.C. Gardner, C. Thomas, A.T. Hatke, P. Krogstrup, M.J. Manfra, K. Flensberg, C.M. Marcus, Phys. Rev. Lett. 119, 136803 (2017)

    Article  ADS  Google Scholar 

  33. A. Fornieri, A.M. Whiticar, F. Setiawan, E. Portolés, A.C.C. Drachmann, A. Keselman, S. Gronin, C. Thomas, T. Wang, R. Kallaher, G.C. Gardner, E. Berg, M.J. Manfra, A. Stern, C.M. Marcus, F. Nichele, Nature (London) 569, 89 (2019)

    Article  Google Scholar 

  34. A. Banerjee, O. Lesser, M.A. Rahman, H.-R. Wang, M.-R. Li, A. Kringhøj, A.M. Whiticar, A.C.C. Drachmann, C. Thomas, T. Wang, M.J. Manfra, E. Berg, Y. Oreg, A. Stern, C.M. Marcus, Phys. Rev. B 107, 245304 (2023)

    Article  ADS  Google Scholar 

  35. L. Fu, C.L. Kane, Phys. Rev. Lett. 102, 216403 (2009)

    Article  ADS  Google Scholar 

  36. A.R. Akhmerov, J. Nilsson, C.W.J. Beenakker, Phys. Rev. Lett. 102, 216404 (2009)

    Article  ADS  Google Scholar 

  37. L. Fu, Phys. Rev. Lett. 104, 056402 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  42. D.E. Liu, H.U. Baranger, Phys. Rev. B 84, 201308(R) (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  44. X.Q. Wang, G.Y. Yi, Y. Han, W.J. Gong, Phys. Rev. B 99, 195424 (2019)

    Article  ADS  Google Scholar 

  45. T. Sanno, S. Miyazaki, T. Mizushima, S. Fujimoto, Phys. Rev. B 103, 054504 (2021)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  48. M.P. Anantram, S. Datta, Phys. Rev. B 53, 16390 (1996)

    Article  ADS  Google Scholar 

  49. B. Zocher, B. Rosenow, Phys. Rev. Lett. 111, 036802 (2013)

    Article  ADS  Google Scholar 

  50. B.H. Wu, J.C. Cao, K.H. Ahn, Phys. Rev. B 72, 165313 (2005)

    Article  ADS  Google Scholar 

  51. T. Gong, X.F. Dai, S.F. Zhang, W.J. Gong, Phys. E 145, 115475 (2023)

    Article  Google Scholar 

  52. A.M. Whiticar, A. Fornieri, E.C.T. O’Farrell, A.C.C. Drachmann, T. Wang, C. Thomas, S. Gronin, R. Kallaher, G.C. Gardner, M.J. Manfra, C.M. Marcus, F. Nichele, Nat. Commun. 11, 3212 (2020)

    Article  ADS  Google Scholar 

  53. K.M. Tripathi, S. Das, S. Rao, Phys. Rev. Lett. 116, 166401 (2016)

    Article  ADS  Google Scholar 

  54. M. Hell, K. Flensberg, M. Leijnse, Phys. Rev. B 97, 161401(R) (2018)

    Article  ADS  Google Scholar 

  55. E.M. Shang, Y.M. Pan, L.B. Shao, B.G. Wang, Chin. Phys. B 23, 057201 (2014)

    Article  ADS  Google Scholar 

  56. J.P. Ramos-Andrade, P.A. Orellana, S.E. Ulloa, J. Phys.: Condens. Matter 30, 045301 (2018)

    ADS  Google Scholar 

  57. S. Rubbert, A.R. Akhmerov, Phys. Rev. B 94, 115430 (2016)

    Article  ADS  Google Scholar 

  58. F.B. Yang, Commun. Theor. Phys. 71(1024), C1028 (2019)

    ADS  Google Scholar 

  59. L. Liu, X.F. Chen, J. Song, Y.X. Li, Phys. E 124, 114212 (2020)

    Article  Google Scholar 

  60. X. Yu Han, X.Q. Zhou, L.L.W. Zhang, W.J. Gong, Soli. Stat Commun. 292, 1–6 (2019)

    Article  ADS  Google Scholar 

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  1. Department of Electrical and New Energy Engineering, Yantai Engineering and Technology College, Yantai, 264006, China

    Li-Hui Jin

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Jin, LH. Aharonov–Bohm effect modified by the Majorana bound states in a parallel double-quantum-dot structure. J. Korean Phys. Soc. (2024). https://doi.org/10.1007/s40042-024-01065-z

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