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Electron Transport Through Josephson Junction Containing a Dimeric Structure

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Abstract

The dc Josephson effect in a superconductor/dimeric molecule/superconductor junction has been investigated by means of the nonequilibrium Green’s function method and the Keldysh diagram technique. The application of the atomic representation has allowed to simplify considerably the computation of the supercurrent and occupation numbers and receive the general expressions which take into account all processes of the Andreev reflection in the loopless approach. It is significant that the expressions for the current and occupation numbers are valid for different multilevel structures in the Josephson junction. The sf-exchange interaction between the electron spin and the spins of the dimer leads to the suppression of the critical current due to a new set of Andreev bound states.

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References

  1. Yu. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001)

    Article  ADS  Google Scholar 

  2. Z.-L. Xiang, S. Ashhab, J.Q. You, F. Nori, Rev. Mod. Phys. 85, 623 (2013)

    Article  ADS  Google Scholar 

  3. A. Martin-Rodero, A.L. Yeyati, Adv. Phys. 60, 899 (2011)

  4. D.A. Wollman, D.J. Van Harlingen, W.C. Lee, D.M. Ginsberg, A.J. Leggett, Phys. Rev. Lett. 71, 2134 (1993)

    Article  ADS  Google Scholar 

  5. S. Kashiwaya, Y. Tanaka, Rep. Prog. Phys. 63, 1641 (2000)

    Article  ADS  Google Scholar 

  6. A.F. Andreev, Sov. Phys. JETP 19, 1228 (1964)

    Google Scholar 

  7. K. Kikoin, Y. Avishai, Phys. Rev. Lett. 86, 2090 (2001)

    Article  ADS  Google Scholar 

  8. L.I. Glazman, K.A. Matveev, JETP Lett. 49, 659 (1989)

    ADS  Google Scholar 

  9. A.V. Rozhkov, D.P. Arovas, Phys. Rev. Lett. 82, 2788 (1999)

    Article  ADS  Google Scholar 

  10. J.V. van Dam, Y.V. Nazarov, E.P.A.M. Bakkers, S. De Franceschi, L.P. Kouwenhoven, Nat. Lett. 442, 667 (2006)

    Article  ADS  Google Scholar 

  11. R. Delagrange, D.J. Luitz, R. Weil, A. Kasumov, V. Meden, H. Bouchiat, R. Deblock, Phys. Rev. B 91, 241401(R) (2015)

    Article  ADS  Google Scholar 

  12. G.D. Mahan, Phys. Rev. 153, 882 (1967)

    Article  ADS  Google Scholar 

  13. P. Nozieres, C.T. De Dominicis, Phys. Rev. 178, 1097 (1969)

    Article  ADS  Google Scholar 

  14. K.A. Matveev, A.I. Larkin, Phys. Rev. B 46, 15337 (1992)

    Article  ADS  Google Scholar 

  15. A.Yu. Kasumov, K. Tsukagoshi, M. Kawamura, T. Kobayashi, Y. Aoyagi, K. Senba, T. Kodama, H. Nishikawa, I. Ikemoto, K. Kikuchi, V.T. Volkov, YuA Kasumov, R. Deblock, S. Gueron, H. Bouchiat, Phys. Rev. B 72, 033414 (2005)

  16. V.V. Val’kov, S.V. Aksenov, E.A. Ulanov, JETP Lett. 98, 403 (2013)

    Article  ADS  Google Scholar 

  17. V.V. Val’kov, S.V. Aksenov, E.A. Ulanov, JETP 119, 124 (2014)

    Article  ADS  Google Scholar 

  18. Q.-F. Sun, B.-G. Wang, J. Wang, T.-H. Lin, Phys. Rev. B 61, 4754 (2000)

    Article  ADS  Google Scholar 

  19. L.V. Keldysh, JETP 20, 1018 (1965)

    MathSciNet  Google Scholar 

  20. R.O. Zaitsev, JETP 41, 100 (1975)

    ADS  Google Scholar 

  21. C.W.J. Beenakker, H. van Houten, in Single Electron Tunneling and Mesoscopic Devices, ed. by H. Koch, H. Lubbig (Springer, Berlin, 1992), p. 175

  22. I.A. Devyatov, M.Yu. Kupriyanov, JETP 85, 189 (1997)

  23. V. Ambegaokar, A. Baratoff, Phys. Rev. Lett. 10, 486 (1963)

    Article  ADS  Google Scholar 

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Acknowledgments

This study was supported by the Presidium of the Russian Academy of Sciences, Program “Actual problems of low temperature physics”; the Russian Foundation for Basic Research, Projects Nos. 13-02-00523, 14-02-31280, and 15-42-04372; and the Scholarship of the President of the Russian Federation No. SP-6361.2013.5.

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  1. Laboratory of Theoretical Physics, L.V. Kirensky Institute of Physics, Krasnoyarsk, 660036, Russia

    V. V. Val’kov & S. V. Aksenov

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  1. V. V. Val’kov
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  2. S. V. Aksenov
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Correspondence to S. V. Aksenov.

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Val’kov, V.V., Aksenov, S.V. Electron Transport Through Josephson Junction Containing a Dimeric Structure. J Low Temp Phys 185, 446–452 (2016). https://doi.org/10.1007/s10909-016-1545-5

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  • DOI: https://doi.org/10.1007/s10909-016-1545-5

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