Issues »  Volume 48, Issue 2

Current-Driven Depinning of Elastic Vortex Filaments in Superconductors with Columnar Defects

O. S. Hrechykha$^{1}$, O. L. Kasatkin$^{2}$, V. P. Tsvitkovskyi$^{2}$

$^{1}$Kyiv Academic University, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^{2}$G. V. Kurdyumov Institute for Metal Physics, N.A.S. of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine

Received: 27.03.2025; final version - 16.07.2025. Download: PDF

In the present work, the problem of an elastic Abrikosov-vortex filament depinning from a columnar defect in a 3D-anisotropic superconductor plate is considered within the framework of Lagrangian classical mechanics. We consider the problem of vortex depinning from columnar defect in a rather thick superconducting plate with thickness d > 2λ (λ is the London penetration depth) under the action of transport Meissner current with a density j(r, t) flowing in the surface screening layer of width ≅ λ. The conditions for the occurrence of instability of the pinned state of the vortex are investigated and the corresponding depinning critical-current density on the specimen surface, at which the vortex filament starts its escape from the columnar defect, is calculated. The time for the vortex-depinning process and its dependences on both the sample thickness and the transport-current value are calculated. The dependence of the average critical-current density on the plate thickness d is also found.

Key words: superconductor, Abrikosov vortex, flux quantum, coherence length, vortex pinning, columnar defect, critical current.

URL: https://mfint.imp.kiev.ua/en/abstract/v48/i02/0111.html

DOI: https://doi.org/10.15407/mfint.48.02.0111

PACS: 74.20.De, 74.25.Uv, 74.25.Wx, 74.62.Dh, 74.72.-h, 74.78.Na, 84.71.Mn

Citation: O. S. Hrechykha, O. L. Kasatkin, and V. P. Tsvitkovskyi, Current-Driven Depinning of Elastic Vortex Filaments in Superconductors with Columnar Defects, Metallofiz. Noveishie Tekhnol., 48, No. 2: 111–121 (2026)

REFERENCES
  1. D. Larbalestier, A. Gurevich, D. M. Feldmann, and A. Polyanski, Nature, 414: 368 (2001).
  2. S. R. Foltyn, L. Civale, J. L. MacManus-Driscoll, Q. X. Jia, B. Maioro, H. Wang, and M. Maley, Nature Mater., 6: 631 (2007).
  3. B. Maiorov, S. A. Baily, H. Zhou, O. Ugurlu, J. A. Kennison, P. C. Dowden, T. G. Holesinger, S. R. Foltyn, and L. Civale, Nature Mater., 8: 398 (2009).
  4. T. Horide, K. Otsubo, R. Kita, N. Matsukida, M. Ishimaru, S. Awaji, and K. Matsumoto, Supercond. Sci. Technol., 30, No.7: 074009 (2017).
  5. T. Sueyoshi, Y. Furuki, E. Tanaka, T. Fujiyoshi, F. Mitsugi, T. Ikegami, and N. Ishikawa, IEEE Trans. Appl. Supercond., 23, No. 3: 8002404 (2013).
  6. A. O. Ijaduola, S. H. Wee, A. Goyal, P. M. Martin, J. Li, J. R. Thompson, and D. K. Christen, Supercond. Sci. Technol., 25: 045013 (2012).
  7. A. A. Abrikosov, Fundamentals of the Theory of Metals (New York: Courier Dover Publications: 2017).
  8. G. Blatter, M. V. Feigelman, V B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Mod. Phys., 66: 1125 (1994).
  9. E. H. Brandt, Rep. Prog. Phys., 58: 1465 (1995).
  10. L. Civale, Supercond. Sci. Technol., 10, No. 7A: A11 (1997).
  11. V. M. Pan, A. L. Kasatkin, V. L. Svetchnikov, and H. W. Zandbergen, Cryogenics, 33, No. 1: 21 (1993).
  12. B. Dam, J. M. Huijbregtse, F. C. Klaassen, R. C. F. van der Geest, G. Doornbos, J. H. Rector, A. M. Testa, S. Freisem, J. C. Martinezk, B. Stauble-Pumpin, and R. Griessen, Nature, 399: 439 (1999).
  13. V. Pan, Y. Cherpak, V. Komashko, S. Pozigun, C. Tretiatchenko, A. Semenov, E. Pashitskii, and A. V. Pan, Phys. Rev. B, 73: 054508 (2006).
  14. L. Fang, Y. Jia, C. Chaparro, G. Sheet, H. Claus, M. A. Kirk, A. E. Koshelev, U. Welp, G. W. Crabtree, W. K. Kwok, S. Zhu, H. F. Hu, J. M. Zuo, H.-H. Wen, and B. Shen, Appl. Phys. Lett., 101: 012601 (2012).
  15. T.Taen, H. Yagyuda, Y. Nakajima, T. Tamegai, O. A. Valenzuela, L. Civale, B. Maiorov, T. Kambara, and Y. Kanai, Phys. Rev. B, 89: 024508 (2014).
  16. F. Ohtake, T. Taen, S. Pyon, T. Tamegai, and S. Okayasu, Phys. Proc., 58: 122 (2014).
  17. V. V. Shmidt and G. S. Mkrtchyan, Sov. Phys. Usp., 17: 17018 (1974).
  18. H. Nordborg and V. M. Vinokur, Phys. Rev. B, 62, No. 18: 12408 (2000).
  19. A. Buzdin and M. Daumens, Physica C, 332, Nos. 1–4: 108 (2000).
  20. E. A. Pashitskii and V. I. Vakaryuk, Low Temp. Phys., 28: 11 (2002).
  21. A. A. Bespalov and A. S. Mel’nikov, Supercond. Sci. Technol., 26: 085014 (2013).
  22. D. R. Nelson and V. M. Vinokur, Phys. Rev. Lett., 68, No.15: 2398 (1992).
  23. E. H. Brandt, Phys. Rev. Lett., 69, No. 7: 1105 (1992).
  24. A. L. Kasatkin, V. M. Pan, and H. C. Freyhardt, IEEE Trans. Appl. Supercond., 7, No. 2: 1588 (1997).
  25. V. Tsvetkovskii, A. Kasatkin, and V. Shabatura, J. Phys.: Conf. Ser., 43: 639 (2006).
  26. F. C. Klaassen, G. Doornbos, J. M. Huijbregtse, R. C. F. van der Geest, B. Dam, and R. Griessen, Phys. Rev. B, 64, No. 18: 184523 (2001).
  27. V. A. Fedirko, A. L. Kasatkin, and S. V. Polyakov, J. Low Temp. Phys., 192: 359 (2018).

Creative Commons License
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License
© 1979 “G. V. Kurdyumov Institute for Metal Physics of the N.A.S. of Ukraine”