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London Approximation with the Finite Core Size for the Mixed State of Type II Superconductor
Author(s) -
Shevtsova O.N.,
Shiyanovskii S.V.
Publication year - 1998
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/(sici)1521-3951(199806)207:2<455::aid-pssb455>3.0.co;2-g
Subject(s) - radius , type ii superconductor , physics , superconductivity , condensed matter physics , amplitude , vortex , critical field , magnetic field , mathematical physics , quantum mechanics , thermodynamics , computer security , computer science
The mixed state of type II superconductor was studied by means of the Wigner‐Seitz approximation at κ ≫ 1 for the entire range of magnetic fields between H c1 < H 0 < H c2 . The vortex structure was described in the framework of the improved London model with finite core radius by the introduction of the order parameter in form of a constant function at ρ > ρ m and a variational function at ρ < ρ m , where ρ m is the core radius. The dependencies of magnetic induction, core radius, vortex amplitude upon the external magnetic field at H c1 < H < H c2 were derived, the values of the first and the second critical fields as well as the critical vortex radius were calculated. The obtained results are in a good agreement with the results received by Abrikosov and Brandt.