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Generalized Ginzburg-Landau equation and the properties of superconductors with Ginzburg-Landau parameter κ close to 1

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Abstract

An expression is derived for the free energy of a superconductor near the critical temperature, taking account of the terms of next highest order in the parameter 1−T/T c. These terms become important for Ginzburg-Landau parameter values |κ−1|≪1, and in this case, in an external magnetic field H 0 close to H c2, the structure of the order parameter is determined by the relative values of the three small parameters |κ−1|, 1−T/T c, and (H c2H 0)/H c2. Three types of lattices are investigated: triangular with one and two flux quanta per cell and square with one flux quantum per cell.

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References

  1. V. L. Ginzburg and L. D. Landau, Zh. Éksp. Teor. Fiz. 20, 1064 (1950).

    Google Scholar 

  2. E. B. Bogomol’nyi, Yad. Fiz. 24, 861 (1976) [Sov. J. Nucl. Phys. 24, 449 (1976).

    MathSciNet  Google Scholar 

  3. A. V. Efanov, Phys. Rev. B 56, 7839 (1997).

    Article  ADS  Google Scholar 

  4. E. Eilenberger, Z. Phys. 214, 195 (1968).

    Google Scholar 

  5. A. I. Larkin and Yu. N. Ovchinnikov, Zh. Éksp. Teor. Fiz. 55, 2262 (1968) [Sov. Phys. JETP 28, 1200 (1969)].

    Google Scholar 

  6. Yu. N. Ovchinnikov and E. H. Brandt, Phys. Status Solidi B 67, 301 (1975).

    Google Scholar 

  7. A. A. Abrikosov, Zh. Éksp. Teor. Fiz. 32, 1442 (1957) [Sov. Phys. JETP 5, 1174 (1957)].

    Google Scholar 

  8. Yu. N. Ovchinnikov, JETP Lett. 65, 632 (1997).

    Article  ADS  Google Scholar 

  9. Yu. N. Ovchinnikov, Zh. Éksp. Teor. Fiz. 112, 1499 (1997) [JETP 85, 818 (1997)].

    Google Scholar 

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Zh. Éksp. Teor. Fiz. 115, 726–739 (February 1999)

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Ovchinnikov, Y.N. Generalized Ginzburg-Landau equation and the properties of superconductors with Ginzburg-Landau parameter κ close to 1. J. Exp. Theor. Phys. 88, 398–405 (1999). https://doi.org/10.1134/1.558809

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  • DOI: https://doi.org/10.1134/1.558809

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