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Time‐Dependent Ginzburg‐Landau Equation for Superconducting Alloys in High Magnetic Fields
Author(s) -
Weller W.
Publication year - 1969
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.19690350205
Subject(s) - superconductivity , physics , ginzburg–landau theory , vortex , magnetic field , condensed matter physics , lattice (music) , differential equation , vertex (graph theory) , type ii superconductor , limit (mathematics) , quantum electrodynamics , quantum mechanics , mathematical analysis , mathematics , mechanics , graph , discrete mathematics , acoustics
A superconductor containing nonmagnetic impurities is considered in the limit of small mean free path ( l ≪ ξ 0 ) and high magnetic field ( H ≈ H c 2 ). With the help of the method developed by Gorkov and Eliashberg the time‐dependent Ginzburg‐Landau equation and the differential equation for the vertex part are derived from the microscopic theory. The resulting Ginzburg‐Landau equation is appreciably simplified in the cases, in which the vertex part reduces to the scalar electromagnetic potential. It is shown that this simplification is possible for the case of slow motion of the lattice of the vortex lines (flux‐flow) caused by a static electric field.