Physics – Condensed Matter – Superconductivity
Scientific paper
2000-03-24
Physics
Condensed Matter
Superconductivity
13 pages including 13 figure files in the text
Scientific paper
10.1103/PhysRevB.62.6800
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.
Brandt Ernst Helmut
Mikitik Grigorii P.
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