Lower critical field

Richard A Klemm

in Layered Superconductors

Published in print December 2011 | ISBN: 9780199593316
Published online May 2012 | e-ISBN: 9780191738128 | DOI:

Series: International Series of Monographs on Physics

Lower critical field

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The Lower Critical Field chapter describes the applied magnetic field when the first magnetic vortex enters into a layered superconductor. This is treated in the anisotropic London, the anisotropic Ginzburg-Landau, and the Lawrence-Doniach models, and by the Clem pancake vortex model. When the magnetic field is not parallel to a crystal lattice direction, the direction of the magnetic flux and hence the magnetic induction is not parallel to the magnetic field. By neglecting the vortex cores, the line energy for a single vortex is equivalent in the anisotropic London and Ginzburg-Landau models, and is calculated in all three models. A new type of dimensional crossover in the temperature dependence of the lower critical field parallel to the layers is found. The difficulties in determining the demagnetization effects when the magnetic field is not along a crystal axis are discussed. Some examples of experimental data are provided.

Keywords: lower critical field; layered; direction; anisotropic London; anisotropic Ginzburg-Landau; Lawrence-Doniach; dimensional crossover; pancake vortices; demagnetization

Chapter.  43071 words.  Illustrated.

Subjects: Condensed Matter Physics

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