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It must be remarked that here the definition of "heavy hole" and "light hole" bands is not the most usual one. In fact, if spin-orbit interaction is included, the two upper valence bands are no longer degenerate except at Γ and they are designated as "heavy hole" and "light hole," while the lower single band is called "split off."
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note
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We want to point out that when we applied this LRC (or equivalently contact exciton) model to study the effect of quasiparticle corrections and excitonic effects on the static birefringence Ref. 25, we did not use these value for α∥ and α⊥. In fact, as explained in Ref. 24, a constant a can work only for a finite range of frequencies. The values of a that correct the static dielectric constants are systematically smaller than the values of α that reproduce the absorption peaks (for the GaAs/AlAs SL about 10 times smaller). Moreover, when we are interested in the birefringence, the slight difference between in-plane α± and in-growth α∥ can be relevant and affect the anisotropy of the dielectric response. Therefore, in that case we used two independent parameters, fitted to reproduce the experimental dielectric mismatch.
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56
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note
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As we will discuss later, this is not sufficient to explain why the in-growth component remains close to its effective medium value; in fact the contributions due to the delocalization of the wave functions at the interface must also be considered.
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