Abstract
The real part of the dielectric function ϵ(q, ω) is obtained in the random phase approximation for semiconductors. If the first interband transition is forbidden, the following limits are obtained from the general formula for ϵ(q, ω) involving a finite energy gap EG: EG → 0, ω = 0, then ϵ(q, 0) ∝ q−1; EG → 0, q = 0, then ϵ(0, ω) ∝ ω−1/2; EG small, q = ω = 0, then ϵ(0, 0) α EG−1/2.

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