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Prog. Theor. Phys. Vol. 43 No. 2 (1970) pp. 271-285

Spatial Variations of the Order Parameter in Superconductors Containing a Magnetic Impurity

Toyoyuki Kitamura

Department of Physics, Tokyo University of Education, Tokyo

(Received August 7, 1969)

Abstract:

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, Müller-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 T_c and |ln T_K/T| = |τ| (T_K: 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/τ)³. The main effect is to replace γ² by 1/τ² is expression of the spatial variation of the order parameter and of the transition point. The term 1/τ³ yields the asymmetry for τ> 0 and τ< 0, i.e. T ≪T_K and T ≫T_K.

URL : http://ptp.ipap.jp/link?PTP/43/271/
DOI : 10.1143/PTP.43.271

[ Full Text PDF : FREE ACCESS (659K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. A. A. Abrikosov and L. P. Gor'kov, Sov. Phys. -JETP 12 (1961), 1243.
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7. J. Kondo, private communication.
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Citing Article(s) :

1. Journal of the Physical Society of Japan 62 (1993) pp. 3181-3197 :

   Numerical Renormalization Group Study of Magnetic Impurities in Superconductors. II. Dynamical Excitation Spectra and Spatial Variation of the Order Parameter

   Osamu Sakai, Yukihiro Shimizu, Hiroyuki Shiba and Koji Satori

2. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 580-589 :

   Spatial Dependence of a Superconductive Order Parameter with Kondo Effect

   Toshio Soda

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