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Dependence of the Critical Temperature of Cylindrical Superconductors on the Boundary Conditions

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Abstract

The properties of long cylindrical superconductors with a diameter comparable with coherence length ξ have been investigated in the framework of the Ginzburg–Landau theory. The equations of the theory have been solved using the general boundary conditions for the order parameter. The use of such boundary conditions makes it possible to take into account the effect of the boundary of a cylinder on its superconducting properties. This is important for small-diameter cylinders, the properties of which significantly depend on the properties of their boundaries.

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REFERENCES

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

    Google Scholar 

  2. P. G. de Gennes, Superconductivity of Metals and Alloys (Bengamin, New York, 1966).

    MATH  Google Scholar 

  3. M. Tinkham, Introduction to Superconductivity (Dover, New York, 2004).

    Google Scholar 

  4. G. J. Carty and D. P. Hampshire, Phys. Rev. B 77, 172501 (2008).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. G. F. Zharkov, V. G. Zharkov, and A. Yu. Zvetkov, Phys. Rev. B 61, 12293 (2000).

    Article  ADS  Google Scholar 

  7. A. Yu. Tsvetkov, G. F. Zharkov, and A. N. Lykov, Kr. Soobshch. Fiz. FIAN 6, 25 (2004).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  9. P. I. Bezotosnyi, S. Yu. Gavrilkin, A. N. Lykov, and A. Yu. Tsvetkov, Phys. Solid State 57, 1300 (2015).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. V. V. Moshchalkov, X. G. Qiu, and V. Bruyndoncx, Phys. Rev. B 55, 11793 (1997).

    Article  ADS  Google Scholar 

  12. J. M. Calero, N. Porras-Montenegro, and J. C. Granada, Braz. J. Phys. 36, 933 (2006).

    Article  ADS  Google Scholar 

  13. P. G. de Gennes, Rev. Mod. Phys. 36, 225 (1964).

    Article  ADS  Google Scholar 

  14. R. O. Zaitsev, Sov. Phys. JETP 21, 1178 (1965).

    ADS  Google Scholar 

  15. J. Simonin, Phys. Rev. B 33, 7830 (1986).

    Article  ADS  Google Scholar 

  16. K. Matsumoto, H. Takewaki, Y. Tanaka, O. Miura, K. Yamafuji, K. Funaki, M. Iwakuma, and T. Matsushita, Appl. Phys. Lett. 64, 115 (1994).

    Article  ADS  Google Scholar 

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  1. Lebedev Physical Institute, Russian Academy of Sciences, 119991, Moscow, Russia

    A. N. Lykov

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  1. A. N. Lykov
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Correspondence to A. N. Lykov.

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Translated by E. Bondareva

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Lykov, A.N. Dependence of the Critical Temperature of Cylindrical Superconductors on the Boundary Conditions. Phys. Solid State 62, 1762–1764 (2020). https://doi.org/10.1134/S1063783420100194

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