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The theory of electrostatic potential in superconductors

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Abstract.

The problem of electrostatic potential distribution in superconductors is studied based on the microscopic theory of superconductors. Local chemical potential of the superconductor is introduced, and an approximation is made to BG theory, which is similar to the Thomas-Fermi (TF) method used in quantum mechanics. The electrostatic potential and charge distribution around an isolated vortex in type-II superconductors is discussed within the approximation. A correction to GL theory considering the electrostatic potential distribution is suggested.

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References

  1. F. London, Superfluids, Vol. I (Wiley, New York, 1950)

  2. A.G. van Vijfeijken, F.A. Staas, Phys. Lett. 12, 175 (1964)

    Article  Google Scholar 

  3. Y.M. Ivanchenko, A.N. Omelyanchuk, Sov. Low Temp. Phys. 11, 1384 (1985)

    Google Scholar 

  4. D. Khomskii, Kusmartsev, Phys. Rev. B 46, 14245 (1992)

    Article  Google Scholar 

  5. G. Rietveld, N.Y. Chen, D. van der Marel, Phys. Rev. Lett. 69, 2578 (1992)

    Article  Google Scholar 

  6. D.I. Khomskii, A. Freimuth, Phys. Rev. Lett. 75, 1384 (1995)

    Article  Google Scholar 

  7. J. Koláček, P. Lipavský, E.H. Brandt, Phys. Rev. Lett. 86, 312 (2001)

    Article  Google Scholar 

  8. P. Lipavský, J. Koláček, K. Morawetz, E.H. Brandt, Phys. Rev. B. 65, 144511 (2002)

    Article  Google Scholar 

  9. G. Blatter, A. van Otterlo et al. , Phys. Rev. Lett. 77, 566 (1996)

    Article  Google Scholar 

  10. K.I. Kumagai, K. Nozaki, Y. Matsuda, Phys. Rev. B 63, 144502 (2001)

    Article  Google Scholar 

  11. S.V. Yampolskii, B.J. Baelus, F.M. Peeters, J. Koláček, Phys. Rev. B. 64, 144511 (2001)

    Article  Google Scholar 

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

  13. L.P. Gorkov, Sov. Phys. JETP 7, 505 (1958)

    MATH  Google Scholar 

  14. L.P. Gorkov, Sov. Phys. JETP 9, 1364 (1960); L.P. Gorkov, Sov. Phys. JETP 10, 593 (1960)

    MATH  Google Scholar 

  15. E. Eilenberger, A.E. Jacobs, J. Low Temp. Phys. 20, 479 (1975)

    Google Scholar 

  16. J.R. Schrieffer, Theory of Superconductivity (Benjamin, New York, 1964)

  17. G. Rickayzen, Theory of Superconductivity (John Wiley, New York, 1965)

  18. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1975)

  19. R. Kubo, Statistical Mechanics (North-Holland, 1965)

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Authors and Affiliations

  1. Department of Physics and the State Key Laboratory for Mesoscopic Physics, Peking University, 100871, Beijing, P.R. China

    Xiao-Yue Jin & Zi-Zhao Gan

Authors
  1. Xiao-Yue Jin
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  2. Zi-Zhao Gan
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Correspondence to Xiao-Yue Jin.

Additional information

Received: 9 February 2004, Published online: 9 April 2004

PACS:

74.20.Fg BCS theory and its development - 74.20.De Phenomenological theories (two-fluid, Ginzburg-Landau, etc.) - 74.25.Jb Electronic structure

Xiao-Yue Jin: Current address: Physikalisches Institut III, Erlangen-Nurenberg University, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany

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Jin, XY., Gan, ZZ. The theory of electrostatic potential in superconductors. Eur. Phys. J. B 37, 489–498 (2004). https://doi.org/10.1140/epjb/e2004-00085-1

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  • DOI: https://doi.org/10.1140/epjb/e2004-00085-1

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