The electronic band structures of III nitride semiconductors calculated within
the adiabatic approximation give essential information about the optical
properties of materials. However, atoms of the lattice are not at rest; their
displacement away from the equilibrium positions perturbs the periodic
potential acting on the electrons in the crystal, leading to an
electron-phonon interaction energy. Due to different ways that the lattice
vibration perturbs the motions of electrons, there are various types of
interaction, such as Fröhlich interaction with longitudinal optical phonons,
deformation-potential interactions with optical and acoustic phonons and
piezoelectric interaction with acoustic phonons. These interactions,
especially the Fröhlich interaction, which is very strong due to the ionic
nature of III nitrides, have a great influence on the optical properties of
the III nitride semiconductors. As a result of electron-phonon interaction,
several phenomena, such as phonon replicas in the emission spectra,
homogeneous broadening of the excitonic line width and the relaxation of
hot carriers to the fundamental band edge, which have been observed in GaN and
its low dimensional heterostructures, are reviewed.
Time-resolved photoluminescence (PL), at T=8 K, is used to study a graded-width InGaN/GaN quantum well. Across the sample, the well width continuously varies from ∼5.5 to 2.0 nm corresponding to PL peak energies varying between 2.0 and 2.9 eV and to PL decay rates covering four orders of magnitude. The plot of decay times versus PL energies is very well fitted by a calculation of the electron–hole recombination probability versus well width. The only fitting parameter is the electric field in the well, which we find equal to 2.45±0.25 MV/cm, in excellent agreement with experimental Stokes shifts for this type of samples.
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