By Matsui H.
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The on-site self-energy is taken to be the impurity self-energy calculated by the DMFT and the off-site self-energy is calculated by the GWA. Viewed from the GWA, we replace the on-site GW self-energy by that of DMFT, correcting the GW treatment of onsite correlations. Viewed from the DMFT, we add off-site contributions to the self-energy approximated within the GWA, giving a momentum dependent self-energy. The impurity problem contains a Hubbard interaction U that is usually treated as a parameter.
61, 667 (2003).  H. Mårtensson and P. O. Nilsson, Phys. Rev. B 30, 3047 (1984).  Y. Motome and G. Kotliar, Phys. Rev. B 62, 12800 (2000).  J. K. Freericks, M. Jarrell and D. J. Scalapino, Phys. Rev. B 48, 6302 (1993).  G. Onida, L. Reining and A. Rubio, Rev. Mod. Phys. 74, 601 (2002). 1 Introduction Quasiparticles, plasmons and excitons are the fundamental quantities used to interpret the electronic and optical properties of solids. More important than their isolated description is the comprehension of their mutual interaction.
This approximation is veriﬁed a posteriori through comparison with experiment and physically corresponds to the assumption that the electron–hole scattering time is much longer than the characteristic screening time of the system (roughly speaking, the inverse of the plasma frequency). Indeed, the static approximation is expected to work well for transition energies much smaller than the plasma frequency . However the most striking examples of systems that do not fulﬁll this condition are silver and copper.