Exciton binding energies EB measured for α- and β-Ga2O3 crystals seem to be not explainable in the Wannier-Mott picture. However, we demonstrate theoretically that including screening dynamics and effective mass anisotropy, reasonable values EB = 184 meV (α) or 230 meV (β) are derived. Since the binding energies are larger than the phonon frequencies, the exciton formation is so fast that only about 5% of the lattice polarizability contributes to the screening of the electron-hole attraction. Effective dielectric constants possess values between the complete static ones and the electronic high-frequency dielectric constants. They indeed depend on the polymorph.
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Bechstedt et al. (2019) studied this question.
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