Quasiparticle Self-Consistent GW Analysis of Excited States and Model Construction of 3d² Luminescent Centers in α-Aluminum Oxide

Abstract

Cr⁴⁺-doped crystals are promising materials for infrared solid laser applications. In order to choose proper host materials of Cr⁴⁺ from the wide variety of crystals, multiplet energy levels of Cr⁴⁺ should be evaluated without experimental information. A newly developed first-principles method for determining the mean-field Hamiltonian of the localized luminescent center based on quasiparticle self-consistent GW was applied to 3d² transition metal ions (Cr⁴⁺ and V³⁺) in α-Al₂O₃. Our method gave good agreement with the effective Coulomb parameters and crystal-field parameters estimated from experimental data. Multiplet energy structures were therefore well reproduced by our method. These results show the possibility of designing new laser host materials within the framework of the first-principles calculations.