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Prog. Theor. Phys. Vol. 30 No. 2 (1963) pp. 149-161

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Nonlinear Theory of Esaki Effect in Bismuth

Ryuzo Abe

The Institute for Solid State Physics, University of Tokyo, Azabu, Tokyo

(Received March 30, 1963)

Abstract:

A strong nonlinear conduction behavior in bismuth observed by Esaki is studied. As a natural extension of the Dumke-Haering-Hopfield theory, nonlinear terms arising from deformation potential, pressure tensor of electron gas, continuity equation, and recombination process are taken into account. A nonlinear equation of lattice vibration is set up and solved in terms of elliptic functions. The resultant current-voltage relation is shown to have a kink character consistent with experiment. Some discussions are given of the results of the present theory.


URL : http://ptp.ipap.jp/link?PTP/30/149/
DOI : 10.1143/PTP.30.149

[ Full Text PDF : FREE ACCESS (1049K) ] Citation:


References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 31 No. 6 (1964) pp. 957-968 :
    Nonlinear Theory of Current Saturation in Piezoelectric Semiconductors
    Ryuzo Abe
  2. Progress of Theoretical Physics Vol. 39 No. 2 (1968) pp. 331-348 :
    Theory of Nonlinear Susceptibility
    Tatuo Kawasaki