Voltage Fluctuations in a System of Capacitively Coupled Superconducting Nanowires

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We theoretically investigate non-local fluctuation effects in a system of two capacitively coupled superconducting nanowires. We demonstrate that quantum phase slips in one of these nanowires induce voltage fluctuations in another one. These fluctuations are characterized by zero average voltage and non-vanishing voltage noise which exhibits a non-trivial behavior as a function of frequency and bias current. It would be interesting to test our predictions in modern experiments with superconducting nanowires.

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  1. 1.

    Zaikin, A.D., Golubev, D.S.: Dissipative quantum mechanics of nanostructures: electron transport, fluctuations and interactions. Jenny Stanford Publishing, Singapore (2019)

  2. 2.

    Arutyunov, K.Y., Golubev, D.S., Zaikin, A.D.: Superconductivity in one dimension. Phys. Rep. 464, 1 (2008)

  3. 3.

    Zaikin, A.D., et al.: Quantum phase slips and transport in ultrathin superconducting wires. Phys. Rev. Lett. 78, 1552 (1997)

  4. 4.

    Golubev, D.S., Zaikin, A.D.: Quantum tunneling of the order parameter in superconducting nanowires. Phys. Rev. B 64, 014504 (2001)

  5. 5.

    Bezryadin, A., Lau, C.N., Tinkham, M.: Quantum suppression of superconductivity in ultrathin nanowires. Nature 404, 971 (2000)

  6. 6.

    Lau, C.N., et al.: Quantum phase slips in superconducting nanowires. Phys. Rev. Lett. 87, 217003 (2001)

  7. 7.

    Zgirski, M., et al.: Quantum fluctuations in ultranarrow supercooducting aluminum nanowires. Phys. Rev. B 77, 054508 (2008)

  8. 8.

    Astafiev, O.V., et al.: Coherent quantum phase slip. Nature 484, 355 (2012)

  9. 9.

    Mooij, J.E., Schön, G.: Propagating plasma mode in thin superconducting filaments. Phys. Rev. Lett. 55, 114 (1985)

  10. 10.

    Camarota, B., et al.: Experimental evidence of one-dimensional plasma modes in superconducting thin wires. Phys. Rev. Lett. 86, 480 (2001)

  11. 11.

    Semenov, A.G., Zaikin, A.D.: Quantum phase slip noise. Phys. Rev. B 94, 014512 (2016)

  12. 12.

    Semenov, A.G., Zaikin, A.D.: Quantum phase slips and voltage fluctuations in superconducting nanowires. Fortschr. Phys. 65, 1600043 (2017)

  13. 13.

    Semenov, A.G., Zaikin, A.D.: Quantum phase slips and voltage fluctuations in ultrathin superconducting wires. J. Supercond. Nov. Magn. 30, 139 (2017)

  14. 14.

    Golubev, D.S., Zaikin, A.D.: Thermally activated phase slips in superconducting nanowires. Phys. Rev. B 78, 144502 (2008)

  15. 15.

    Semenov, A.G., Zaikin, A.D.: Full counting statistics of quantum phase slips. Phys. Rev. B 99, 094516 (2019)

  16. 16.

    Bianconi, A., et al.: High critical temperature in a superlattice of quantum wires. Journal of Superconductivity 8, 545 (1995)

  17. 17.

    Ricci, A., et al.: Direct observation of nanoscale interface phase in the superconducting chalcogenide K x Fe 2 - y Se 2 with intrinsic phase separation. Phys. Rev. B 91, 020503 (2015)

  18. 18.

    Jarlborg, T., Bianconi, A.: Electronic structure of HgBa 2 CuO 4+δ with self-organized interstitial oxygen wires in the Hg spacer planes. J. Supercond. Nov. Magn. 31, 689 (2018)

  19. 19.

    Semenov, A.G., Zaikin, A.D.: Persistent currents in quantum phase slip rings. Phys. Rev. B 88, 054505 (2013)

  20. 20.

    Van Otterlo, A., et al.: Dynamics and effective actions of BCS superconductors. Eur. Phys. J. B 10, 131 (1999)

  21. 21.

    Weiss, U.: Quantum dissipative systems. World Scientific, Singapore (2008)

  22. 22.

    Ingold, G.L., Nazarov, Y.u.V.: Single charge tunneling, NATO ASI Series B 294, p. 21, edited by H. Grabert and M.H. Devoret. Plenum, New York (1992)

  23. 23.

    Semenov, A.G., Zaikin, A.D.: Voltage noise in a superconducting wire with a constriction. J. Supercond. Nov. Magn. 31, 711 (2018)

  24. 24.

    Schön, G., Zaikin, A.D.: Quantum coherent effects, phase transitions and the dissipative dynamics of ultra small tunnel junctions. Phys. Rep. 198, 237 (1990)

  25. 25.

    Borin, A., Safi, I., Sukhorukov, U.: Coulomb drag effect induced by the third cumulant of current. Phys. Rev. B 99, 165404 (2019)

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Correspondence to Andrew G. Semenov.

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Latyshev, A., Semenov, A.G. & Zaikin, A.D. Voltage Fluctuations in a System of Capacitively Coupled Superconducting Nanowires. J Supercond Nov Magn (2020) doi:10.1007/s10948-019-05402-3

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  • Superconductivity
  • Quantum phase slips
  • Non-equilibrium noise