Critical State in Thin Anisotropic Superconductors of Arbitrary Shape

Abstract

A thin flat superconductor of arbitrary shape and with arbitrary in-plane and out-of-plane anisotropy of flux-line pinning is considered, in an external magnetic field normal to its plane. It is shown that the general three-dimensional critical state problem for this superconductor reduces to the two-dimensional problem of an infinitely thin sample of the same shape but with a modified induction dependence of the critical sheet current. The methods of solving the latter problem are well known. This finding thus enables one to study the critical states in realistic samples of high-Tc superconductors with various types of anisotropic flux-line pinning. As examples, we investigate the critical states of long strips and rectangular platelets of high-Tc superconductors with pinning either by the ab-planes or by extended defects aligned with the c-axis.

13 pages including 13 figure files in the text

References in corpus (4)

• Irreversible Magnetization of Pin-Free Type II Superconductors
• Central peak position in magnetization loops of high-$T_c$ superconductors
• Analytic Solution for the Critical State in Superconducting Elliptic Films
• Exact Solution for the Critical State in Thin Superconductor Strips with Field Dependent or Anisotropic Pinning

Cited by in corpus (21)

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