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  • Letter
  • Open Access

Persistent current noise in narrow Josephson junctions

Dushko Kuzmanovski1, Rubén Seoane Souto2,3, and Alexander V. Balatsky1,4

  • 1Nordita, KTH Royal Institute of Technology and Stockholm University, Hannes Alfvéns väg 12, SE-106 91 Stockholm, Sweden
  • 2Division of Solid State Physics and NanoLund, Lund University, S-22100 Lund, Sweden
  • 3Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark
  • 4Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA

Phys. Rev. B 104, L100505 – Published 21 September, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L100505

Abstract

Josephson junctions have broad applications in metrology, quantum information processing, and remote sensing. For these applications, the electronic noise is a limiting factor. In this work we study the thermal noise in narrow Josephson junctions using a tight-binding Hamiltonian. For a junction longer than the superconducting coherence length, several self-consistent gap profiles appear close to a phase difference π. They correspond to two stable solutions with an approximately constant phase gradient over the thin superconductor connected by a 2π phase slip, and a solitonic branch. The current noise power spectrum has pronounced peaks at the transition frequencies between the different states in each branch. We find that the noise is reduced in the gradient branches in comparison to the zero-length junction limit. In contrast, the solitonic branch exhibits an enhanced noise and a reduced current due to the pinning of the lowest excitation energy to close to zero energy.

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References (50)

  1. B. D. Josephson, Phys. Lett. 1, 251 (1962).
  2. P. W. Anderson and J. M. Rowell, Phys. Rev. Lett. 10, 230 (1963).
  3. A. A. Golubov, M. Y. Kupriyanov, and E. Il'ichev, Rev. Mod. Phys. 76, 411 (2004).
  4. R. L. Fagaly, Rev. Sci. Instrum. 77, 101101 (2006).
  5. J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 76, 042319 (2007).
  6. F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. S. L. Brandao, D. A. Buell, B. Burkett, Y. Chen, Z. Chen, B. Chiaro, R. Collins, W. Courtney, A. Dunsworth, E. Farhi, B. Foxen, A. Fowler et al., Nature (London) 574, 505 (2019).
  7. C. W. J. Beenakker and H. van Houten, in Semiconductor Heterostructures and Nanostructures, Solid State Physics Vol. 44, edited by H. Ehrenreich and D. Turnbull (Academic Press, New York, 1991), pp. 1–228.
  8. A. F. Andreev, Sov. Phys. JETP-USSR 22, 455 (1966).
  9. A. Zazunov, V. S. Shumeiko, E. N. Bratus', J. Lantz, and G. Wendin, Phys. Rev. Lett. 90, 087003 (2003).
  10. C. Janvier, L. Tosi, L. Bretheau, Ç. Ö. Girit, M. Stern, P. Bertet, P. Joyez, D. Vion, D. Esteve, M. F. Goffman, H. Pothier, and C. Urbina, Science 349, 1199 (2015).
  11. R. M. Lutchyn, E. P. A. M. Bakkers, L. P. Kouwenhoven, P. Krogstrup, C. M. Marcus, and Y. Oreg, Nat. Rev. Mater. 3, 52 (2018).
  12. J. A. Sauls, Philos. Trans. R. Soc. A 376, 20180140 (2018).
  13. E. Prada, P. San-Jose, M. W. A. de Moor, A. Geresdi, E. J. H. Lee, J. Klinovaja, D. Loss, J. Nygård, R. Aguado, and L. P. Kouwenhoven, Nat. Rev. Phys. 2, 575 (2020).
  14. D. Rogovin and D. J. Scalapino, Ann. Phys. (NY) 86, 1 (1974).
  15. Y. M. Blanter and M. Büttiker, Phys. Rep. 336, 1 (2000).
  16. D. J. Van Harlingen, T. L. Robertson, B. L. T. Plourde, P. A. Reichardt, T. A. Crane, and J. Clarke, Phys. Rev. B 70, 064517 (2004).
  17. J. C. Cuevas, A. Martín-Rodero, and A. Levy Yeyati, Phys. Rev. Lett. 82, 4086 (1999).
  18. J. C. Cuevas and W. Belzig, Phys. Rev. Lett. 91, 187001 (2003).
  19. A. Martín-Rodero, A. L. Yeyati, and F. J. García-Vidal, Phys. Rev. B 53, R8891(R) (1996).
  20. R. Seoane Souto, D. Kuzmanovski, and A. V. Balatsky, Phys. Rev. Research 2, 043193 (2020).
  21. B. Dassonneville, M. Ferrier, S. Guéron, and H. Bouchiat, Phys. Rev. Lett. 110, 217001 (2013).
  22. M. Trif, O. Dmytruk, H. Bouchiat, R. Aguado, and P. Simon, Phys. Rev. B 97, 041415(R) (2018).
  23. A. Murani, B. Dassonneville, A. Kasumov, J. Basset, M. Ferrier, R. Deblock, S. Guéron, and H. Bouchiat, Phys. Rev. Lett. 122, 076802 (2019).
  24. A. G. P. Troeman, S. H. W. van der Ploeg, E. Il'Ichev, H.-G. Meyer, A. A. Golubov, M. Y. Kupriyanov, and H. Hilgenkamp, Phys. Rev. B 77, 024509 (2008).
  25. A. V. Galaktionov and A. D. Zaikin, Phys. Rev. B 82, 184520 (2010).
  26. I. Petković, A. Lollo, L. I. Glazman, and J. G. E. Harris, Nat. Commun. 7, 13551 (2016).
  27. J. S. Langer and V. Ambegaokar, Phys. Rev. 164, 498 (1967).
  28. D. E. McCumber and B. I. Halperin, Phys. Rev. B 1, 1054 (1970).
  29. N. Giordano, Phys. Rev. Lett. 61, 2137 (1988).
  30. A. D. Zaikin, D. S. Golubev, A. van Otterlo, and G. T. Zimányi, Phys. Rev. Lett. 78, 1552 (1997).
  31. D. S. Golubev and A. D. Zaikin, Phys. Rev. B 64, 014504 (2001).
  32. K. A. Matveev, A. I. Larkin, and L. I. Glazman, Phys. Rev. Lett. 89, 096802 (2002).
  33. H. P. Büchler, V. B. Geshkenbein, and G. Blatter, Phys. Rev. Lett. 92, 067007 (2004).
  34. C. N. Lau, N. Markovic, M. Bockrath, A. Bezryadin, and M. Tinkham, Phys. Rev. Lett. 87, 217003 (2001).
  35. M. Zgirski, K.-P. Riikonen, V. Touboltsev, and K. Y. Arutyunov, Phys. Rev. B 77, 054508 (2008).
  36. B. I. Halperin, G. Refael, and E. Demler, Int. J. Mod. Phys. B 24, 4039 (2010).
  37. J. E. Mooij and Y. V. Nazarov, Nat. Phys. 2, 169 (2006).
  38. O. V. Astafiev, L. B. Ioffe, S. Kafanov, Y. A. Pashkin, K. Y. Arutyunov, D. Shahar, O. Cohen, and J. S. Tsai, Nature (London) 484, 355 (2012).
  39. A. Belkin, M. Belkin, V. Vakaryuk, S. Khlebnikov, and A. Bezryadin, Phys. Rev. X 5, 021023 (2015).
  40. N. Ligato, E. Strambini, F. Paolucci, and F. Giazotto, Nat. Commun. 12, 5200 (2021).
  41. B. I. Ivlev and N. B. Kopnin, Sov. Phys. Usp. 27, 206 (1984).
  42. A. Martín-Rodero, F. J. García-Vidal, and A. Levy Yeyati, Phys. Rev. Lett. 72, 554 (1994).
  43. A. Levy Yeyati, A. Martín-Rodero, and F. J. García-Vidal, Phys. Rev. B 51, 3743 (1995).
  44. F. Sols and J. Ferrer, Phys. Rev. B 49, 15913 (1994).
  45. A. G. Semenov and A. D. Zaikin, Phys. Rev. B 94, 014512 (2016).
  46. A. G. Semenov and A. D. Zaikin, J. Supercond. Novel Magn. 31, 711 (2018).
  47. P. Virtanen, R. Gommers, T. E. Oliphant, M. Haberland, T. Reddy, D. Cournapeau, E. Burovski, P. Peterson, W. Weckesser, J. Bright, S. J. van der Walt, M. Brett, J. Wilson, K. J. Millman, N. Mayorov, A. R. J. Nelson, E. Jones, R. Kern, E. Larson, C. J. Carey et al., Nat. Methods 17, 261 (2020).
  48. C. T. Kelley, Iterative Methods for Linear and Nonlinear Equations (SIAM, Philadelphia, PA, 1995).
  49. F. Kos, S. E. Nigg, and L. I. Glazman, Phys. Rev. B 87, 174521 (2013).
  50. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.104.L100505 for three figures complementary to Figs. 2– 4 from the main text, corresponding to a different choice of junction transparency.

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