A formally exact one-frequency-only Bethe-Salpeter-like equation. Similarities and differences between GW +BSE and self-consistent RPA - Sorbonne Université Accéder directement au contenu
Article Dans Une Revue Journal of Chemical Physics Année : 2019

A formally exact one-frequency-only Bethe-Salpeter-like equation. Similarities and differences between GW +BSE and self-consistent RPA

Résumé

A formally exact Bethe-Salpeter-like equation for the linear-response function is introduced with a kernel which depends only on the one frequency of the applied field. This is in contrast with the standard Bethe-Salpeter equation (BSE) which involves multiple-frequency integrals over the kernel and response functions. From the one-frequency kernel, known approximations are straightforwardly recovered. However, the present formalism lends itself to more powerful approximations. This is demonstrated with the exact analytical solution of the Hubbard molecule. Similarities and differences of the GW+BSE approach with the self-consistent random-phase approximation (RPA) is also discussed.
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Dates et versions

hal-01959688 , version 1 (18-12-2018)
hal-01959688 , version 2 (06-02-2019)

Identifiants

Citer

Valerio Olevano, Julien Toulouse, Peter Schuck. A formally exact one-frequency-only Bethe-Salpeter-like equation. Similarities and differences between GW +BSE and self-consistent RPA. Journal of Chemical Physics, 2019, 150 (8), pp.084112. ⟨10.1063/1.5080330⟩. ⟨hal-01959688v2⟩
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