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Prog. Theor. Phys. Vol. 43 No. 6 (1970) pp. 1445-1457

Effect of Fluctuations in the Superconducting Order Parameter on the Electronic States

Hajime Takayama

Department of Physics, University of Tokyo, Tokyo

(Received December 26, 1969)

Abstract:

The effect of fluctuations in the superconducting order parameter on the electronic states is examined at the dirty limit from the viewpoint of the microscopic theory in the classical range where the Aslamazov-Larkin approximations are valid. It gives rise to the effective existence of the order parameter and the renormalization of the relaxation time of electronic excitations. The electronic density of states, n(ω), deviated from its normal-state value is calculated. Correct treatments of the effects of impurities are essential in obtaining the right results. The depression of n(ω= 0) is proportional to t^-3/2 for the three- and two-dimensional samples, respectively, t being the reduced temperature t = (T-T_c)/T_c. It is consistent with the experiment by Cohen et al. However, some discrepancies remain concerning the magnitude of the depression and the ω dependence of n(ω). The range in which the Aslamazov-Larkin approximations are appropriate is also discussed.

URL : http://ptp.ipap.jp/link?PTP/43/1445/
DOI : 10.1143/PTP.43.1445

[ Full Text PDF : FREE ACCESS (784K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 298-300 :

   Electronic States near Superconductive Transition Temperature

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2. Progress of Theoretical Physics Vol. 46 No. 1 (1971) pp. 1-14 :

   Superconducting Fluctuation Effects on the S-I-N Junction Current

   Hajime Takayama

3. Progress of Theoretical Physics Vol. 46 No. 1 (1971) pp. 42-62 :

   Higher Order Effects Due to Superconducting Fluctuation on Electrical Conductivity

   Hajime Takayama and Kazumi Maki

4. Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 758-765 :

   Functional Integral Method on Superconducting Critical Phenomena. II

   Hajime Takayama

5. Progress of Theoretical Physics Vol. 114 No. 1 (2005) pp. 117-155 :

   Pre-Critical Phenomena of Two-Flavor Color Superconductivity in Heated Quark Matter

   Masakiyo Kitazawa, Tomoi Koide, Teiji Kunihiro and Yukio Nemoto

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