Thermodynamic Fluctuations in “Zero-Dimensional” Superconductors

  • R. A. Buhrman
  • W. P. Halperin
  • W. W. Webb


We have examined the magnetic superconducting transition of ensembles of very small insulated aluminum particles. These particles can be viewed as zero-dimensional superconductors in the sense that all dimensions are less than the superconducting coherence length ξ. The purpose of these measurements was to investigate the effect of thermodynamic fluctuations on the superconducting transition. The experiment was motivated by the prediction that the magnitude of the effect of such fluctuations relative to the mean-field transition (without fluctuations) would be very large. Also, the width of the true critical region as specified by Ginzburg,1 where the mean-field theory should no longer be valid, should become experimentally accessible in sufficiently small particles. This region has hitherto never been accessible in a superconducting system.


Diamagnetic Susceptibility London Penetration Depth Average Particle Radius Desire Particle Size Thermodynamic Fluctuation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V. L. Ginzburg, Fiz. Tverd. Tela 2, 2031 (1960) [Soviet Phys.—Solid State 2, 1824 (1960)].Google Scholar
  2. 2.
    V. V. Shmidt, in Proc. 10th Intern. Conf. Low Temp. Phys. 1966 VINITI, Moscow (1967), Vol. IIB, p. 205.Google Scholar
  3. 3.
    B. Patton, Magnetization of Small Spheres, (to be published).Google Scholar
  4. 4.
    J. Hurault, K. Maki, and M. Béal-Monod, Phys. Rev. B 3, 762 (1971).ADSCrossRefGoogle Scholar
  5. 5.
    B. Mühlschlegel, D. J. Scalapino, and R. Denton, Thermodynamic Properties of Small Superconducting Particles (to be published).Google Scholar
  6. 6.
    H. Takayama, Functional Integral Method 11 (to be published).Google Scholar
  7. 7.
    S. Kobayashi, T. Takahashi, and W. Sasaki, J. Phys. Soc. Japan 31, 1442 (1971).ADSCrossRefGoogle Scholar
  8. 8.
    A. Saxena, J. E. Crow, and M. Strongin, Bull Am. Phys. Soc. 17, 333 (1972).Google Scholar
  9. 9.
    J. Bardeen, Rev. Mod. Phys. 34, 667 (1962).ADSMATHCrossRefGoogle Scholar
  10. 10.
    P. M. Tedrow, G. Faraci, and R. Meservey, Phys. Rev. B 4, 74 (1971).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • R. A. Buhrman
    • 1
  • W. P. Halperin
    • 1
  • W. W. Webb
    • 1
  1. 1.School of Applied and Engineering Physics and Laboratory for Atomic and Solid State PhysicsCornell UniversityIthacaUSA

Personalised recommendations