TY - JOUR
AB - We present a nontrivial model system of interacting electrons that can be solved analytically in the GW approximation. We obtain the particle number from the GW Green’s function strictly analytically, and prove that there is a genuine violation of particle number conservation if the self-energy is calculated non-self-consistently from a zeroth order Green’s function, as done in virtually all practical implementations. We also show that a simple shift of the self-energy that partially restores self-consistency reduces the numerical deviation significantly.
AU - Schindlmayr, Arno
ID - 18628
IS - 7
JF - Physical Review B
SN - 0163-1829
TI - Violation of particle number conservation in the GW approximation
VL - 56
ER -