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Microscopic theory of clean type‐II superconductors in the entire field‐temperature plane
Author(s) -
Brandt E. H.
Publication year - 1976
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.2220770109
Subject(s) - superconductivity , condensed matter physics , magnetization , vortex , type ii superconductor , metastability , jump , type (biology) , sign (mathematics) , plane (geometry) , field (mathematics) , physics , magnetic field , thermodynamics , quantum mechanics , mathematics , geometry , mathematical analysis , pure mathematics , ecology , biology
The magnetization curves, the local magnetic field, and the energy gap of clean type‐II superconductors are calculated from Gorkov's theory for all possible values of B, T , and χ by a Ritz variation method. The free energy functional used is derived and discussed in two previous papers. The solutions coincide with all results known so far from approximate theories ( T ≈ T c, , B ≈ H c2 , B«H c2 ). The first principle method yields, for the first time, magnetization curves with a Metastable (S‐shaped) part, thus explaining the jump B o of induction observed at H cl . At not too large values of T and B , the field at the vortex centres increases and the vortex core shrinks both with decreasing B and T . The third form factor, h 20 , is found to change its sign at B/H c2 ≈0.7.