||S. Schmitt-Rink, D. A. B. Miller, and D. S.
Chemla, "Theory of the Linear and Nonlinear Optical Properties of Semiconductor
Microcrystallites," Phys. Rev. B35, 8113-8125, (1987).
analyze theoretically the optical properties of ideal semiconductor crystallites so small
that they show quantum confinement in all three dimensions (quantum dots (QD's)). In the
limit of a QD much smaller than the bulk exciton size, the linear spectrum will be a
series of lines, and the authors consider the phonon broadening of these lines. The lowest
interband transition will saturate like a two-level system, without exchange and Coulomb
screening. Depending on the broadening, the absorption and the changes in absorption and
refractive index resulting from saturation can become very large, and the local-field
effects can become so strong as to give optical bistability without external feedback. The
small QD limit is more readily achieved with narrow-band-gap semiconductors
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