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Calculation of the magnetic flux density distribution in type-II superconductors with finite thickness and well-defined geometry

A. Forkl, H. Kronmüller

DOI 10.1103/PhysRevB.52.16130 · Physical Review B

T1

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Abstract

The distribution of the critical current density jc(r) in hard type-II superconductors depends strongly on their sample geometry. Rules are given for the construction of jc(r). Samples with homogeneous thickness are divided into cakelike regions with a unique current direction. The spatial magnetic flux density distribution and the magnetic polarization of such a cakelike unit cell with homogeneous current density are calculated analytically. The magnetic polarization and magnetic flux density distribution of a superconductor in the mixed state is then given by an adequate superposition of the unit cell solutions. The theoretical results show good agreement with magneto-optically determined magnetic flux density distributions of a quadratic thin superconducting YBa2Cu3O7−x film. The current density distribution is discussed for several sample geometries.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O7-x

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—Pressure not reportedunknown

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