features related to the transition across the fundamental band gap (E− transition) and the transition from the top of the spin-orbit split-off valence band to the bottom of the conduction band (E−+Δ0 transition), an extra feature (E+) appears at higher energies in the PR spectra. With increasing N concentration, the E− and E−+Δ0 transitions shift to lower energy, and the E+ transition moves in the opposite direction. Shown in Figure 2.5 are the E− and E+ transition energies in Ga1−yInyNxAs1−x as a function of N concentration reported by several different groups [41,43–45]. The nonlinear dependence of the transition energies on N concentration can be well described by the BAC model using a coupling constant V=2.7 eV.
It is also worth noting that, as shown in Figure 2.4, the spin-orbit splitting energy Δ0 is equal to ≈0.34 eV for all the measured samples and does not depend on N content. The results demonstrate that incorporation of N into GaAs and GaInAs affects mostly the conduction band and has a negligible effect on the electronic structure of the valence band. Using Equation 2.9, one can obtain a simple relationship between the subband-
ROSSANA HERNANDEZ
electrónica del estado solido
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