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Prog. Theor. Phys. Vol. 90 No. 1 (1993) pp. 53-64

[ Full Text PDF : FREE ACCESS (803K) ]

Relaxation Mode Theory of Hopping Conduction. II

— Non-Local Conductivity and Ultrasonic Attenuation —

Tadao Ishii

Faculty of Engineering, Okayama University, Okayama 700

(Received January 21, 1993)

Abstract:

Non-local theory of hopping conduction of classical particles is developed on the basis of the perturbation theory, to obtain the conductivity formula which is expressed in terms of the dynamical correlation function. The relaxation mode theory is utilized to evaluate this conductivity formula in a one-dimensional double-well lattice and to apply it to the ultrasonic attenuation. It turns out that the Hutson-White type of ultrasonic attenuation formula, confirmed to be valid in semiconductors, holds even in the hopping conduction system.


URL : http://ptp.ipap.jp/link?PTP/90/53/
DOI : 10.1143/PTP.90.53

[ Full Text PDF : FREE ACCESS (803K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 63 (1994) pp. 3008-3013 :
    Sound Attenuation in Superionic Conductors;Density Wave Non-Associated Mechanism
    Tadao Ishii
  2. Journal of the Physical Society of Japan 65 (1996) pp. 351-353 :
    Non-Debye Behavior of Ion-Hopping Conduction
    Tadao Ishii
  3. Journal of the Physical Society of Japan 70 (2001) pp. 2622-2625 :
    Frequency Exponent of Ionic Conductivity in One-Dimensional Random Lattices
    Toshinori Abe and Tadao Ishii

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