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The vortex lattice in type‐II superconductors: Ideal or distorted, in bulk and films
Author(s) -
Brandt Ernst Helmut
Publication year - 2011
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201147095
Subject(s) - vortex , condensed matter physics , type ii superconductor , superconductivity , ginzburg–landau theory , physics , lattice (music) , pinning force , perpendicular , magnetic field , quantum mechanics , mathematics , critical current , mechanics , geometry , acoustics
Abrikosov's solution of the linearized Ginzburg–Landau theory describes a periodic lattice of vortex lines in type‐II superconductors at large inductions. This solution is generalized to non‐periodic vortex arrangements, e.g. , to lattices with a vacancy surrounded by relaxing vortex lattice and to periodically distorted lattices that appear in the nonlocal theory of elasticity of the vortex lattice. Generalizations to lower magnetic inductions and to three‐dimensional arrangements of curved vortex lines are also given. It is shown how the periodic vortex lattice can be computed for bulk superconductors as well as for thick and thin films in a perpendicular field for all Ginzburg–Landau parameters κ and all inductions ${\bar {B}}$ .