Nonlinear optical susceptibilities of semiconductors: Results with a length-gauge analysis

Claudio Aversa and J. E. Sipe
Phys. Rev. B 52, 14636 – Published 15 November 1995
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Abstract

We present a simple prescription for the derivation of electronic contributions to the nonlinear optical response of crystals in the independent particle approximation. Semiconductor Bloch equations are found that include previously neglected effects of intraband motion. Applying perturbation theory to clean, cold semiconductors we find expressions for the susceptibilities lacking the unphysical divergences at zero frequency that have plagued other calculations. For these materials we present well-behaved, general expressions for χ(2) and χ(3) for arbitrary frequency mixing and give an explicit demonstration of the finite zero-frequency value of χ(3). We further show how second-order photogalvanic effects are contained in certain physical zero-frequency divergences of χ(2), and consider the corresponding physical zero-frequency divergences of χ(3).

  • Received 25 July 1995

DOI:https://doi.org/10.1103/PhysRevB.52.14636

©1995 American Physical Society

Authors & Affiliations

Claudio Aversa and J. E. Sipe

  • Department of Physics, and Ontario Laser and Lightwave Research Centre, University of Toronto, Toronto, Ontario, Canada M5S-1A7

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Issue

Vol. 52, Iss. 20 — 15 November 1995

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