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Superconductivity and Other Macroscopic Quantum Phenomena

DEC 01, 1990
A diverse class of physical systems—including superconductors, superfluid helium, lasers and quasi‐one‐dimensional conductors—derive their unusual properties from the macroscopic occupation of a single quantum state.
John Bardeen

As first suggested by Fritz London, superconductivity and superfluid flow in liquid helium are macroscopic quantum phenomena. They depend on the fact that the energy states of even macroscopic objects, although closely spaced, are discrete, and on the statistical mechanics of systems made up of identical particles. The electrons in a superconducting metal, with a spin of one‐half, obey Fermi‐Dirac statistics and the exclusion principle. Helium atoms of isotopic mass 4 obey Einstein‐Bose statistics, in which there can be many particles in the same quantum state, as is the case with photons, the quanta of radiation, if they are regarded as particles.

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References

  1. 1. F. London, Superfluids, vols. 1 and 2, Wiley, New York (1950).

  2. 2. J. Bardeen, L. N. Cooper, J. R. Schrieffer, Phys. Rev. 106, 162 (1957); https://doi.org/PHRVAO
    J. Bardeen, L. N. Cooper, J. R. Schrieffer, 108, 1175 (1957).

  3. 3. R. D. Parks, ed., Superconductivity, vols. 1 and 2, Marcel Dekker, New York (1969).

  4. 4. J. Bardeen, “Advances in Superconductivity,” PHYSICS TODAY, October 1969, p. 40.

  5. 5. D. E. Tilley, J. Tilley, Superfluidity and Superconductivity, 2nd ed., Adam Hilger, Bristol (1986).

  6. 6. R. W. Kern, D. E. Sparks, W. ZimmermanJr, “Observation of Quantization of Circulation in Rotating Superfiuid He2,” Phys. Rev. B 21, 1793 (1980).https://doi.org/PRBMDO

  7. 7. K. R. Atkins, Liquid Helium, Cambridge U.P., New York (1959).

  8. 8. J. Wilks, Liquid and Solid Helium, Clarendon P., Oxford (1967).

  9. 9. D. Pines, “Richard Feynman and Condensed‐Matter Physics,” PHYSICS TODAY, February 1989, p. 61.

  10. 10. A. J. Leggett, “Superfluid Phases of He3: Theory,” Rev. Mod. Phys. 47, 332 (1975).https://doi.org/RMPHAT

  11. 11. J. Wheatley, “Superfluid Phases of He3: Experiment,” Rev. Mod. Phys. 47, 415 (1975).https://doi.org/RMPHAT

  12. 12. H. Fröhlich, “On the Theory of Superconductivity: The One‐Dimensional Case,” Proc. R. Soc. London, Ser. A 223, 296 (1954).

  13. 13. G. Grüner, “The Dynamics of Charge‐Density Waves,” Rev. Mod. Phys. 80, 1129 (1988).https://doi.org/RMPHAT

  14. 14. J. Bardeen, “Depinning of Charge‐Density Waves by Quantum Tunneling,” Phys. Scr. 127, 136 (1989). https://doi.org/PHSTBO

  15. 15. J. R. Tucker, “Quantum‐Limited Detection in Tunnel Junction Mixers,” IEEE J. Quantum Electron. 15, 1234 (1979).https://doi.org/IEJQA7

More about the authors

John Bardeen, University of Illinois, Urbana‐Champaign.

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Volume 43, Number 12

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