Many-body perturbation theory and non-perturbative approaches: screened interaction as the key ingredient

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Walter TarantinoLucia Reining

Abstract

Many-body perturbation theory is often formulated in terms of an expansion in the dressed instead of the bare Green's function, and in the screened instead of the bare Coulomb interaction. However, screening can be calculated on different levels of approximation, and it is important to define what is the most appropriate choice. We explore this question by studying a zero-dimensional model (so called 'one-point model') that retains the structure of the full equations. We study both linear and non-linear response approximations to the screening. We find that an expansion in terms of the screening in the random phase approximation is the most promising way for an application in real systems. Moreover, by making use of the nonperturbative features of the Kadanoff-Baym equation for the one-body Green's function, we obtain an approximate solution in our model that is very promising, although its applicability to real systems has still to be explored.

References

Jul 1, 1951·Proceedings of the National Academy of Sciences of the United States of America·J Schwinger
Jul 1, 1951·Proceedings of the National Academy of Sciences of the United States of America·J Schwinger
Dec 14, 2011·Physical Chemistry Chemical Physics : PCCP·Gábor PohlAndrás Perczel
Sep 10, 2014·Physical Chemistry Chemical Physics : PCCP·J RocheA Kuhn

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Citations

Dec 12, 2020·Journal of Chemical Theory and Computation·J Arjan BergerPina Romaniello
May 11, 2018·Journal of Chemical Theory and Computation·Pierre-François LoosJ A Berger

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