Spatial Variations of the Order Parameter in Superconductors Containing a Magnetic Impurity
Author(s) -
Toyoyuki Kitamura
Publication year - 1970
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.43.271
Subject(s) - physics , superconductivity , impurity , condensed matter physics , matrix (chemical analysis) , function (biology) , magnetic impurity , order (exchange) , kondo effect , quantum mechanics , evolutionary biology , economics , composite material , biology , finance , materials science
By taking into account of the Kondo effect, the spatial variation of the order parameter in superconductors containing a single magnetic impurity is discussed. We use the method of the double-time Green function used by Zuckermann, and Takano and Matayoshi, and follow the methods of Zittartz, Muller-Hartmann and Kondo to solve the equation for the t-matrix. The spatial variation of the order parameter is obtained by a method similar to that of Heinrichs. Only the case, in which the temperature is very close to Tc and !ln Tx/TI = 1-rl (Tx: Kondo temperature) is very large, is considered. The spatial variation of the order parameter is considered up to the terms of the order of (1/r)3• The main effect is to replace r 2 by 1/-r2 is expression of the spatial variation of the order parameter and of the transition point. The term lh·3 yields the asymmetry for 't">O and 't"
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