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Prog. Theor. Phys. Vol. 37 No. 1 (1967) pp. 1-12

[ Full Text PDF : FREE ACCESS (644K) ]

Spatial Variation of the Order Parameter in the Vicinity of a Paramagnetic Impurity

Toshio Tsuzuki and Toshihiko Tsuneto*

Department of Physics, Faculty of Sciences, Kyoto University, Kyoto
*Department of Physics, Faculty of Engineering Sciences, Osaka University, Toyonaka

(Received August 16, 1966)

Abstract:

In view of the strong effects of paramagnetic impurities on the properties of a superconductor it is interesting to study how the order parameter varies spatially in the vicinity of a paramagnetic impurity. Near the transition temperature one can derive an integral equation which describes the spatial variation of the order parameter Δ(r). It is shown that the variation extends over the distance of the order of the coherence length ξ0 ∼vF /Tc from the impurity and that Δ(r) is approximately given by
Δ(∞) [1 - {3π/ 7 ζ(3)} (xC / ln xC) (a2 / r2) exp {-(2πT / vF) r },
where a is the scattering length of the exchange potential and xC is a constant related to a.
Abrikosov and Gor'kov calculated the effect of paramagnetic impurities on the transition temperature using the average value of Δ. A small correction to their result due to the spatial variation of Δ(r) is calculated in the limit of low impurity concentration.


URL : http://ptp.ipap.jp/link?PTP/37/1/
DOI : 10.1143/PTP.37.1

[ Full Text PDF : FREE ACCESS (644K) ] Citation:

References:

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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. 40 No. 3 (1968) pp. 435-451 :
    Classical Spins in Superconductors
    Hiroyuki Shiba
  3. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 45-59 :
    Kondo Effect in Superconductor
    Fumihiko Takano and Seitaro Matayoshi
  4. Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 271-285 :
    Spatial Variations of the Order Parameter in Superconductors Containing a Magnetic Impurity
    Toyoyuki Kitamura
  5. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 580-589 :
    Spatial Dependence of a Superconductive Order Parameter with Kondo Effect
    Toshio Soda
  6. Progress of Theoretical Physics Vol. 65 No. 1 (1981) pp. 19-34 :
    A Theory of the Onset and the Pinning of Charge Density Wave in a Quasi One-Dimensional Conductor
    Toshio Tsuzuki and Kazuo Sasaki

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