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Investigation of the properties of superconducting plates with a thickness of the order of the coherence length ξ in the framework of the Ginzburg-Landau theory

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Abstract

The properties of superconducting plates with a thickness of the order of the coherence length ξ have been investigated by numerically solving the system of one-dimensional Ginzburg-Landau equations. The equations have been solved using boundary conditions of the general form for the order parameter, which makes it possible to take into account the influence of the boundaries of the plate on its superconducting properties. The behavior of the critical current and critical magnetic field as a function of external parameters has been analyzed. It has been shown that the inclusion of the influence of the boundary in the calculations leads to results that are in better agreement with the experimental data.

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References

  1. V. L. Ginzburg and L. D. Landau, Zh. Eksp. Teor. Fiz. 10, 1064 (1950).

    Google Scholar 

  2. A. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957).

    Google Scholar 

  3. P. G. De Gennes, Superconductivity of Metals and Alloys (W. A. Benjamin. New York, 1966).

    MATH  Google Scholar 

  4. P. Tholfsen and H. Meissner, Phys. Rev. 169, 413 (1968).

    Article  ADS  Google Scholar 

  5. R. S. Thompson, Phys. Rev. B: Solid State 1, 327 (1970).

    Article  ADS  Google Scholar 

  6. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1975), pp. 149–151.

    Google Scholar 

  7. G. J. Carty and D. P. Hampshire, Phys. Rev. B: Condens. Matter 77, 172501 (2008).

    Article  ADS  Google Scholar 

  8. G. R. Berdiyorov, A. K. Elmurodov, and F. M. Peeters, Phys. Rev. B: Condens. Matter 79, 174506 (2009).

    Article  ADS  Google Scholar 

  9. K. S. Grishakov, P. N. Degtyarenko, N. N. Degtyarenko, V. F. Elesin, and V. S. Kruglov, Russ. Phys. J. 52(11), 1212 (2009).

    Article  Google Scholar 

  10. A. N. Zotova and D. Y. Vodolazov, Phys. Rev. B: Condens. Matter 85, 024509 (2012).

    Article  ADS  Google Scholar 

  11. I. N. Askerzade, Tech. Phys. 55(6), 896 (2010).

    Article  Google Scholar 

  12. K. S. Grishakov, P. N. Degtyarenko, N. N. Degtyarenko, V. F. Elesin, and V. S. Kruglov, Phys. Procedia 36, 1206 (2012).

    Article  ADS  Google Scholar 

  13. G. F. Zharkov, V. G. Zharkov, and A. Yu. Tsvetkov, Phys. Rev. B: Condens. Matter 61, 12 293 (2000).

    Article  Google Scholar 

  14. G. F. Zharkov, V. G. Zharkov, and A. Yu. Tsvetkov, Kratk. Soobshch. Fiz., No. 11, 35 (2001).

    Google Scholar 

  15. G. F. Zharkov, V. G. Zharkov, and A. Yu. Tsvetkov, Kratk. Soobshch. Fiz., No. 12, 31 (2001).

    Google Scholar 

  16. A. Yu. Tsvetkov, G. F. Zharkov, and V. G. Zharkov, Kratk. Soobshch. Fiz., No. 2, 42 (2002).

    Google Scholar 

  17. A. Yu. Tsvetkov, G. F. Zharkov, and A. N. Lykov, Kratk. Soobshch. Fiz., No. 6, 25 (2004).

    Google Scholar 

  18. A. N Lykov, A. Yu. Tsvetkov, and G. F. Zharkov, J. Exp. Theor. Phys. 101(2), 341 (2005).

    Article  ADS  Google Scholar 

  19. P. I. Bezotosnyi, S. Yu. Gavrilkin, A. N. Lykov, and A. Yu. Tsvetkov, Kratk. Soobshch. Fiz., No. 6, 3 (2014).

    Google Scholar 

  20. P. I. Bezotosnyi, S. Yu. Gavrilkin, A. N. Lykov, and A. Yu. Tsvetkov, Kratk. Soobshch. Fiz., No. 12, 26 (2014).

    Google Scholar 

  21. N. J. Fink and A. G. Presson, Phys. Rev. 151, 219 (1966).

    Article  ADS  Google Scholar 

  22. V. V. Moshchalkov, X. G. Qiu, and V. Bruyndoncx, Phys. Rev. B: Condens. Matter 55, 11793 (1997).

    Article  ADS  Google Scholar 

  23. P. S. Deo, V. A. Shweigert, F. M. Peeters, and A. K. Geim, Phys. Rev. Lett. 79, 4653 (1997).

    Article  ADS  Google Scholar 

  24. V. A. Schweigert and F. M. Peeters, Phys. Rev. B: Condens. Matter 57, 13817 (1998).

    Article  ADS  Google Scholar 

  25. E. A. Andryushin, V. L. Ginzburg, and A. P. Silin, Phys.-Usp. 36(9), 854 (1993).

    Article  ADS  Google Scholar 

  26. A. Lykov, Phys. Lett. A 372, 4661 (2008).

    Article  MathSciNet  Google Scholar 

  27. A. Lykov, Int. J. Mod. Phys. B 23, 4269 (2009).

    Article  ADS  MATH  Google Scholar 

  28. R. O. Zaitsev, Sov. Phys. JETP 21, 426 (1965).

    ADS  Google Scholar 

  29. R. O. Zaitsev, Sov. Phys. JETP 21, 1121 (1965).

    Google Scholar 

  30. R. O. Zaitsev, Sov. Phys. JETP 23(4), 702 (1966).

    ADS  Google Scholar 

  31. J. Simonin, Phys. Rev. B: Condens. Matter 33, 7830 (1986).

    Article  ADS  Google Scholar 

  32. Sreeparna Mitra, J. H. Cho, W. C. Lee, D. C. Johnston, and V. G. Kogan, Phys. Rev. B: Condens. Matter 40, 2674 (1989).

    Article  ADS  Google Scholar 

  33. N. Sluchanko, S. Gavrilkin, K. Mitsen, A. Kuznetsov, I. Sannikov, V. Glushkov, S. Demishev, A. Azarevich, A. Bogach, A. Lyashenko, A. Dukhnenko, V. Filipov, S. Gabani, K. Flachbart, J. Vanacken, et al., J. Supercond. Novel Magn. 26, 1663 (2013).

    Article  Google Scholar 

  34. K. Flachbart, S. Gabani, K. Gloos, M. Meissner, M. Opel, Y. Paderno, V. Pavlik, P. Samuely, E. Schuberth, N. Shitsevalova, K. Siemensmeyer, and P. Szabo, J. Low Temp. Phys. 140, 339 (2005).

    Article  ADS  Google Scholar 

  35. V. N. Gubankov, K. K. Likharev, and N. B. Pavlov, Sov. Phys. Solid State 14(11), 2721 (1972).

    Google Scholar 

  36. N. P. Shabanova, S. I. Krasnosvobodtsev, A. V. Varlashkin, and A. I. Golovashkin, Phys. Solid State 49(6), 1040 (2007).

    Article  ADS  Google Scholar 

  37. V. V. Shmidt, Introduction to the Physics of Superconductors (MTsNMO, Moscow, 2000) [in Russian].

    Google Scholar 

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Correspondence to P. I. Bezotosnyi.

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Original Russian Text © P.I. Bezotosnyi, S.Yu. Gavrilkin, A.N. Lykov, A.Yu. Tsvetkov, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 7, pp. 1277–1283.

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Bezotosnyi, P.I., Gavrilkin, S.Y., Lykov, A.N. et al. Investigation of the properties of superconducting plates with a thickness of the order of the coherence length ξ in the framework of the Ginzburg-Landau theory. Phys. Solid State 57, 1300–1306 (2015). https://doi.org/10.1134/S1063783415070070

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