article published yes Arno Schindlmayr author 4580000-0002-4855-071X 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. https://ris.uni-paderborn.de/download/18628/18629/PhysRevB.56.3528.pdf application/pdfno American Physical Society1997 eng 0163-1829 1095-3795 cond-mat/9709275 A1997XR9640000410.1103/PhysRevB.56.3528 5673528-3531 yes Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW Approximation.” <i>Physical Review B</i>, vol. 56, no. 7, American Physical Society, 1997, pp. 3528–31, doi:<a href="https://doi.org/10.1103/PhysRevB.56.3528">10.1103/PhysRevB.56.3528</a>. @article{Schindlmayr_1997, title={Violation of particle number conservation in the GW approximation}, volume={56}, DOI={<a href="https://doi.org/10.1103/PhysRevB.56.3528">10.1103/PhysRevB.56.3528</a>}, number={7}, journal={Physical Review B}, publisher={American Physical Society}, author={Schindlmayr, Arno}, year={1997}, pages={3528–3531} } Schindlmayr A. Violation of particle number conservation in the GW approximation. <i>Physical Review B</i>. 1997;56(7):3528-3531. doi:<a href="https://doi.org/10.1103/PhysRevB.56.3528">10.1103/PhysRevB.56.3528</a> A. Schindlmayr, “Violation of particle number conservation in the GW approximation,” <i>Physical Review B</i>, vol. 56, no. 7, pp. 3528–3531, 1997, doi: <a href="https://doi.org/10.1103/PhysRevB.56.3528">10.1103/PhysRevB.56.3528</a>. Schindlmayr, A. (1997). Violation of particle number conservation in the GW approximation. <i>Physical Review B</i>, <i>56</i>(7), 3528–3531. <a href="https://doi.org/10.1103/PhysRevB.56.3528">https://doi.org/10.1103/PhysRevB.56.3528</a> Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW Approximation.” <i>Physical Review B</i> 56, no. 7 (1997): 3528–31. <a href="https://doi.org/10.1103/PhysRevB.56.3528">https://doi.org/10.1103/PhysRevB.56.3528</a>. A. Schindlmayr, Physical Review B 56 (1997) 3528–3531. 186282020-08-28T22:07:22Z2022-11-11T07:00:49Z