Physical Spectral Densities in the GW Approximation

A fully self-consistent formalism for computing quasi-particle properties in the GW approximation, such as spectral densities and total energies, is proposed for the homogeneous electron gas. Such a method attempts to correct for the presence of a spurious non-zero proper polarization at zero momentum transfer produced by the so-called "one-shot" non-self-consistent G0W0 approach. Preliminary results suggest this approach produces similar energies to the GW method while retaining some of the physical structure one expects from experiment and that there is promise in applying it to more complicated methods, such as cumulant GW.