Instability of the Electron-Phonon System in Strong Electric Fields
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概要
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The coupled Boltzmann equations are used to develop a theory of the electron-phonon interaction in strong electric fields which provoke the stimulated emission of phonons. As to the electron-phonon interaction three cases are considered : (i) the interaction through the piezo-electric coupling, (ii) the interaction through the deformation potential and (iii) the interaction through the polar scattering. An estimation is made of the time till the onset of the current decay to saturation after applying the voltage pulse in semiconducting CdS. The dependence of the decay time upon the electron concentration is also investigated. The theoretical results are in semi-quantitative agreement with experiments. The possibility of current saturation by stimulated phonons in Ge is examined. The conclusion is that the occurrence of such phenomenon in Ge is highly impossible except at very low temperature. A study is also made of the possibility of the current instability in GaAs by the electron-phonon interaction through the polar scattering. The result is not conclusive, because the knowledge of the distribution function of electrons in polar crystal in a hot electron state is not sufficient enough to permit an accurate estimate of the critical drift velocity. However, it is found that the situation in GaAs is quite different from that in CdS In the latter case the phonon with small wave number (q~10^5/cm) is mainly amplified in the narrow Cerenkov cone, and when their number becomes enormous, the current begins to decrease. On the other hand, in the case of GaAs, only the phonons with much lager wave number (q~10^7/cm) would be amplified and they can reduce the crrent, even when their number is small.
- 理論物理学刊行会の論文
- 1965-06-25
著者
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Yamashita Jiro
Institute For Solid State Physics The University Of Tokyo
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Nakamura Ki-ichi
Fundamental Research Laboratory Nippon Electric Company Limited
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