Abstract
Magnetic properties of epitaxial thin films of ${\mathrm{YBa}}_{2}$${\mathrm{Cu}}_{3}$${\mathrm{O}}_{7}$ have been studied in the superconducting state in fields perpendicular to the sample, along the c crystallographic axis. In the low-temperature state, susceptibility, hysteresis loop, and remanent magnetization (trapped flux) studies show that a critical state is established in very low applied fields. The flux penetration process and the related thickness properties are well accounted for by simple electromagnetic models for the critical current. It is shown that the evaluation of the critical current ${\mathit{J}}_{\mathit{c}}$ by the classical Bean formula is roughly valid, in spite of the curvature of the vortices. A decrease in the low-temperature value of ${\mathit{J}}_{\mathit{c}}$ with increasing thickness is found above 100 nm. In the temperature range close to ${\mathit{T}}_{\mathit{c}}$, the irreversibility line moves towards higher field with increasing thickness according to a ${\mathit{d}}^{1/2}$ law. This is discussed in relation with the theories of vortex-lattice and vortex-glass melting.
Published Version
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