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Article Dans Une Revue Physical Review Letters Année : 2017

Helium atom excitations by the GW and Bethe-Salpeter many-body formalism

Résumé

Helium atom is the simplest many-body electronic system provided by nature. The exact solution to the Schr\"odinger equation is known for helium ground and excited states, and represents a workbench for any many-body methodology. Here, we check the ab initio many-body GW approximation and Bethe-Salpeter equation (BSE) against the exact solution for helium. Starting from Hartree-Fock, we show that GW and BSE yield impressively accurate results on excitation energies and oscillator strength, systematically improving time-dependent Hartree-Fock. These findings suggest that the accuracy of BSE and GW approximations is not significantly limited by self-interaction and self-screening problems even in this few electron limit. We further discuss our results in comparison to those obtained by time-dependent density-functional theory.
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Dates et versions

hal-01558377 , version 1 (07-07-2017)

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Jing Li, Markus Holzmann, Ivan Duchemin, Xavier Blase, Valerio Olevano. Helium atom excitations by the GW and Bethe-Salpeter many-body formalism. Physical Review Letters, 2017, 118 (16), pp.163001. ⟨10.1103/PhysRevLett.118.163001⟩. ⟨hal-01558377⟩
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