Abstract
The demagnetization factors for a material with an arbitrary permeability tensor Μ and with general ellipsoidal shape are found. These demagnetization factors are used to relate the bulk lower critical field H c1 in anisotropic superconductors to the angles of the external applied field. It is found that the anomalies in the angular dependence of H c1 predicted by Klemm and Clem for highly anisotropic bulk superconductors are also present for materials of highly aspherical shape. The special cases of highly oblate and prolate spheroids, corresponding to the layered and filamentary superconductors, are considered in detail.
Similar content being viewed by others
References
D. K. Cristen and P. Thorel, Phys. Rev. Lett. 42, 191 (1979).
S. Gygax, J. Low Temp. Phys. 36, 109 (1979).
Y. Kashihara, A. Nishida, and H. Yoshioka, J. Phys. Soc. Japan 46, 1112 (1979).
R. A. Klemm and J. R. Clem, Phys. Rev. B 21, 1868 (1980).
J. A. Osborn, Phys. Rev. 67, 351 (1945).
W. E. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (Cambridge Univ. Press, 1931), Chapter 11.
M. Yamamoto, J. Phys. Soc. Japan 45, 431 (1978).
A. A. Abrikosov, Sov. Phys.—JETP 5, 1174 (1957).
A. L. Fetter and P. C. Hohenberg, in Superconductivity, R. D. Parks, ed. (Marcell Dekker, New York, 1969), p. 817.
A. S. Arrott, private communication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Klemm, R.A. Demagnetization effects upon the lower critical field of an anisotropic type II superconductor of ellipsoidal shape. J Low Temp Phys 39, 589–601 (1980). https://doi.org/10.1007/BF00114896
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00114896