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A simple theory of superconductivity

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Il Nuovo Cimento (1955-1965)

Summary

It is shown that a system of bosons exhibits the Meissner effect if the quantum fluctuations of the field operators are neglected. This model is applied to the problem of flux quantization in a superconducting cylinder. Corrections due to a finite penetration depth and to an external magnetic field are calculated.

Riassunto

Si dimostra che un sistema di bosoni presenta l’effetto Meissner se si trascurano le fluttuazioni quantiche degli operatori di campo. Si applica questo modello al problema della quantizzazione del flusso in un cilindro superconduttore. Si calcolano le correzioni dovute ad una profondità di penetrazione finita ed ad un campo magnetico esterno.

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References

  1. See, for instance,W. L. Ginzburg:Fortschr. d. Phys.,1, 101 (1953);M. R. Schafroth:Solid State Physics,10, 293 (1960).J. Bardeen J. R. Schrieffer Progress in Low Temperature Physics, Vol.III (1961), p. 170.

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  2. F. London:Superfluids, vol.1.

  3. M. R. Schafroth:Phys. Rev.,100, 463 (1955).

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  4. L. N. Cooper:Phys. Rev.,104, 1189 (1956).

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  5. This would be similar to Bogoliubov’s theory of a Bose gas (seeL. D. Landau andE. Lifshitz:Statistical Physics, p. 240), or Quantum Hydrodynamics (seeR. Kronig andA. Thellung:Physica,18, 749 (1952)).

  6. This form has been emphasized byJánossy: Report at the Balaton meeting, 1961.

  7. For a review on this question seeH. Hall:Adv. Phys.,33, 89 (1960).

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  8. B. S. Deaner andW. M. Fairbank:Phys. Rev. Lett.,7, 43 (1961);R. Doll andM. Näbauer:Phys. Rev. Lett.,7, 51 (1961);N. Byers andC. N. Yang:Phys. Rev. Lett.,7, 46 (1961).

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  9. That the London equations follow for the Schrödinger equation in configuration space was recently pointed out byW. Brenig:Phys. Rev. Lett.,7, 337 (1961).

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  10. The same corrections have been calculated byJ. Bardeen:Phys. Rev. Lett.,7, 162 (1961);J. Keller andB. Zumino:Phys. Rev. Lett.,7, 164 (1961). But these authors did not take into account an external magnetic field.

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Authors and Affiliations

  1. General Atomic Europe and Institute for Theoretical Physics, University of Vienna, Vienna

    F. Schwabl & W. Thirring

Authors
  1. F. Schwabl
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  2. W. Thirring
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Additional information

This work was sponsored by General Atomic Europe.

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Schwabl, F., Thirring, W. A simple theory of superconductivity. Nuovo Cim 25, 175–182 (1962). https://doi.org/10.1007/BF02733322

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  • DOI: https://doi.org/10.1007/BF02733322

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