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The Electron-Hole Interaction and Linear Optical Constants

Published online by Cambridge University Press:  15 February 2011

L. X. Benedict
L. X. Benedict*
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA 94550
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Abstract

We present an ab initio computational scheme to calculate ε(ω) including the screened electron-hole interaction. Results are presented for GaP and optically-pumped GaAs. We also discuss a time-dependent formulation which has some conceptual advantages.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 579: Symposium B – The Optical Properties of Materials , 1999 , 21
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

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5. More precisely, k is the wave vector of the hole. The wave vector of the electron is k + q, where hq is the photon momentum. It is assumed that q = 0.Google Scholar
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17. Strictly speaking, ø(τ)) describes a fictitious dynamics of an electron-hole pair, since |ø(τ = 0)) ξ|P) = H−λ J|0) involves the Hamiltonian. Viewed differently, |P) can be thought of as frequency-dependent (H−1 in the expression for |P) arises from the I/ω2 prefactor of Eq. 5).Google Scholar
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23. This approximation neglects contributions from virtual transitions between excited electron and hole states. Such contributions can be thought of as giving rise to a widened gap, which would alter tBG(q), particularly near q = 0. Since the free carrier terms dominate at small q, we neglect this correction. We hasten to add that the static screening approximation is not as justified here as it is in the n = 0 case, due to the presence of excited charge-carrier plasmons. Unfortunately, the difficulty of solving the Bethe-Salpeter equation with a dynamically screened interaction for an infinite system precludes the possibility of taking this important effect into account in this work.Google Scholar