Sum Rules for the Coupled Plasmon-Optical-Phonon System

概要

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In the presence of free carriers, longitudinal optical phonons in a polar semiconductor are coupled by electrostatic interaction to plasmon. These coupled modes of the plasmon and optical phonon system constitute longitudinal collective excitation in the semiconductor. As the concentration of carriers changes, the frequency of plasmon and consequently that of coupled modes change. The frequency shift of these collective modes should obey the following relations: ?^^n__<μ=1>Ω^2_<lμ>=ω_p^2+Σ^^<n-1>__<μ=1>Ω^<(0)^2>__<lμ>, ?^^n__<μ=1>1/(Ω^2__lμ)=(ε_0)/(ε_∞ω_p^2)+Σ^^<n-1>__<μ=1>1/(Ω^2_tμ), Π^^n__<μ=1>Ω^2__<lμ>=ω_p^2Π^^<;n-1>__<μ=1>Ω^2__tμ, where n is the number of ions in a unit cell; Ω_lμΩ_tμΩ^(0)_lμ are the angular frequency of longitudinal coupled modes, transverse optical phonon and that of longitudinal optical phonon in the absence of free carriers; ε_0 and ε_∞ are static and high frequency dielectric constant in the absence of free carriers; ω_p^2=4πn_0e^2/m^*ε_∞ which is the classical plasma frequency of the carrier.
一般社団法人日本物理学会の論文
1969-05-05