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Prog. Theor. Phys. Vol. 73 No. 6 (1985) pp. 1342-1351

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A Closed Form Solution for the Hopping Rate of Charged Particles in Metals

Kosaku Yamada, Akio Sakurai* and Sasuke Miyazima**

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
*Department of Physics, Kyoto Sangyo University, Kyoto 603
**Department of Engineering Physics, Chubu University, Kasugai, Aichi 487

(Received March 15, 1985)

Abstract:

The hopping rate of charged particles in metals is obtained in a closed form, by extending the Nozières-Dominicis theory. The hopping rate at low temperatures is proportional to T2K-1Γ(K)/Γ(½+K), where Γ and T are the gamma function and the absolute temperature, respectively. The constant K determining the temperature-dependence coincides with that derived from the generalized theory by Yamada and Yosida for the overlap integral between electron clouds.


URL : http://ptp.ipap.jp/link?PTP/73/1342/
DOI : 10.1143/PTP.73.1342

[ Full Text PDF : FREE ACCESS (355K) ] Citation:


References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 62 (1993) pp. 2088-2097 :
    Quantum Diffusion of Muons Interacting with Superconducting Electrons. I
    Masashige Matsumoto and Yoji Ohashi
  2. Journal of the Physical Society of Japan 62 (1993) pp. 3532-3538 :
    Quantum Diffusion of Muons Interacting with Superconducting Electrons. II
    Yoji Ohashi and Masashige Matsumoto
  3. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1030-1043 :
    Application of the Orthogonality Theorem to the Motion of a Charged Particle in Metals. II
    Kosaku Yamada, Akio Sakurai, Sasuke Miyazima and Hae Sun Hwang
  4. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1044-1047 :
    Band-Like Diffusion of Charged Particles in Metals
    Kosaku Yamada
  5. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1048-1057 :
    New Formalism for an Overlap Integral of the Anderson Orthogonality Theorem
    Akihide Oguchi and Kei Yosida
  6. Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 583-590 :
    Anderson Orthogonality Theorem
    Takeshi Kitamura, Akihide Oguchi and Kei Yosida