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Time‐dependent Ginzburg–Landau equations for a two‐band superconductor and the relaxation times of the order parameters in Y 1– x Ca x Ba 2 Cu 3 O 7– δ
Author(s) -
Konsin P.,
Sorkin B.
Publication year - 2007
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.200642546
Subject(s) - relaxation (psychology) , pseudogap , superconductivity , condensed matter physics , order (exchange) , impurity , superconducting transition temperature , physics , scattering , ginzburg–landau theory , quantum mechanics , cuprate , psychology , social psychology , finance , economics
Time‐dependent Ginzburg–Landau equations for clean and dirty two‐band superconductors are derived. The general formulas for the relaxation times of the two‐component order parameter caused by interband scattering of the intraband pairs are obtained. The two relaxation times ( τ A and τ B ) of the order parameters in Y 1– x Ca x Ba 2 Cu 3 O 7– δ are calculated. Below the superconducting transition temperature T c the calculation gives two distinct relaxation times, one with τ B = 0.5 ps and the other with τ A = 3 ps in the low temperature region in agreement with the experiment. The relaxation time τ A possesses the critical behaviour. The other (noncritical) relaxation channel is characterized by almost T ‐independent relaxation time τ B pointing to the existence of a T ‐independent pseudogap. The effects of impurities are taken into account. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)