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Theory of Nonequilibrium Superconductivity$
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Nikolai Kopnin

Print publication date: 2001

Print ISBN-13: 9780198507888

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198507888.001.0001

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Quasiclassical Method for Layered Superconductors

Quasiclassical Method for Layered Superconductors

Chapter:
(p.125) 7 QUASICLASSICAL METHOD FOR LAYERED SUPERCONDUCTORS
Source:
Theory of Nonequilibrium Superconductivity
Author(s):

Nikolai B. Kopnin

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198507888.003.07

The quasiclassical scheme is generalized for layered superconductors. The Ginzburg–Landau theory for layered superconductors known as the Lawrence–Doniach model and the expression for supercurrent are derived. Coherence lengths along and perpendicular to the layers as well as the magnetic field penetration lengths for magnetic field parallel and perpendicular to the layers are defined. The upper critical field is calculated for the field direction parallel to the layers. The interaction of vortices with the underlying crystalline structure (intrinsic pinning) is discussed.

Keywords:   layered superconductor, Lawrence–Doniach model, supercurrent, coherence length, penetration length, upper critical field, vortex, intrinsic pinning

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