Iterating the static part of the Dyson self-energy gives a GW density matrix equal to the RPA Z-vector density for HF starts and usually improves molecular densities over one-shot GW, though MP2 stays competitive.
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$GW$ reduced density matrix from iterated linearized Dyson equation
Iterating the static part of the Dyson self-energy gives a GW density matrix equal to the RPA Z-vector density for HF starts and usually improves molecular densities over one-shot GW, though MP2 stays competitive.