For Fe_Al:AlN, DFT+cRPA and G0W0 embedding methods give excitation energies near the QMC reference but disagree with it on state symmetry and d-orbital occupation, due to DFT-inherited crystal-field splittings and screened interactions.
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Quantum Monte Carlo assessment of embedding for for strongly correlated defects: interplay between mean-field starting point and interactions
For Fe_Al:AlN, DFT+cRPA and G0W0 embedding methods give excitation energies near the QMC reference but disagree with it on state symmetry and d-orbital occupation, due to DFT-inherited crystal-field splittings and screened interactions.