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Ginsburg‐Landau Theory of the Vortex Lattice in Type‐I1 Superconductors for All Values of ϰ and B
Author(s) -
Brandt E. H.
Publication year - 1972
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.2220510135
Subject(s) - tetragonal crystal system , condensed matter physics , superconductivity , vortex , magnetization , hexagonal crystal system , lattice (music) , hexagonal lattice , type ii superconductor , magnetic field , homogeneous space , energy functional , physics , mathematics , quantum mechanics , chemistry , geometry , thermodynamics , crystallography , acoustics , phase (matter) , antiferromagnetism
A two‐dimensional variational method is established which permits the solution of the Ginsburg‐Landau equations for type‐II superconductors to any desired accuracy. Free energy, magnetization curves, GL function, microscopic magnetic field and current density are calculated for hexagonal and tetragonal lattice symmetries and for all values of the GL parameter ϰ and the induction B . The hexagonal lattice is found to be stable throughout. As a further result simple approximate expressions are found for the free energy (with en error <5 × 10 −5 ) and for the magnetization as functions of ϰ and B or the external field H e .