Abstract
Using the Ginzburg-Landau theory the transverse critical field of small (a«ξ0,b»ξ0) cylinders of elliptical cross section has been calculated for an arbitrary angle between the field and the axes of the ellipse. The criterion for second-order phase transitions has been found. While the equations readily reduce to the case of the circular cylinder, they do not reduce to the case of the flat film. The reasons for this are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Peters and Hans Meissner,Bull. Am. Phys. Soc. II 18, 76 (1973);Phys. Rev. Letters 30, 965 (1973).
A. Schmid,Phys. Rev. 186, 420 (1969);Phys. Kond. Materie 8, 129 (1968).
V. L. Ginzburg and L. D. Landau,Zh. Eksperim. i Teor. Fiz. 20, 1064 (1950).
V. L. Ginzburg,Dokl. Akad. Nauk SSSR 118, 464 (1958) [English Transl.,Soviet Phys.—Doklady 3, 102 (1958)].
V. P. Silin,Zh. Eksperim. i Teor. Fiz. 21, 1330 (1951).
Handbook of Mathematical Functions, M. Abramowitz and I. Stegen, eds. (U.S. Government Printing Office, Washington, D.C., 1964).
M. Tinkham,Phys. Rev. 129, 2417 (1963), Eq. (25).
R. H. White and M. Tinkham,Phys. Rev. 136, A215 (1964).
M. Tinkham,Phys. Letters 9, 217 (1964).
K. Aoi, R. Meservey, and P. M. Tedrow,Phys. Rev. 7, 554 (1973).
K. Aoi,Z. Physik 246, 71 (1971).
Author information
Authors and Affiliations
Additional information
Work supported by a grant from the National Science Foundation.
Rights and permissions
About this article
Cite this article
Meissner, H. Transverse critical fields of small superconducting elliptical cylinders. J Low Temp Phys 12, 263–273 (1973). https://doi.org/10.1007/BF00654864
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00654864