Padé resummation of many-body perturbation theories

Abstract In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for the popularity of leading-order methods such as the GW approxima...

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Autor principal:	Y. Pavlyukh
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/7948b10d48014d819ade677da8421d38
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spelling	oai:doaj.org-article:7948b10d48014d819ade677da8421d382021-12-02T15:04:53ZPadé resummation of many-body perturbation theories10.1038/s41598-017-00355-w2045-2322https://doaj.org/article/7948b10d48014d819ade677da8421d382017-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-00355-whttps://doaj.org/toc/2045-2322Abstract In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for the popularity of leading-order methods such as the GW approximation in condensed matter, molecular and atomic physics. Appropriate truncation order required for the accurate description of strongly correlated materials is, however, not known a priori. Here an efficient method based on the Padé approximation is introduced for the regularization of perturbative series allowing to perform higher-order self-consistent calculations and to make quantitative predictions on the convergence of many-body perturbation theories. The theory is extended towards excited states where the Wick theorem is not directly applicable. Focusing on the plasmon-assisted photoemission from graphene, we treat diagrammatically electrons coupled to the excited state plasmons and predict new spectral features that can be observed in the time-resolved measurements.Y. PavlyukhNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Y. Pavlyukh Padé resummation of many-body perturbation theories
description	Abstract In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for the popularity of leading-order methods such as the GW approximation in condensed matter, molecular and atomic physics. Appropriate truncation order required for the accurate description of strongly correlated materials is, however, not known a priori. Here an efficient method based on the Padé approximation is introduced for the regularization of perturbative series allowing to perform higher-order self-consistent calculations and to make quantitative predictions on the convergence of many-body perturbation theories. The theory is extended towards excited states where the Wick theorem is not directly applicable. Focusing on the plasmon-assisted photoemission from graphene, we treat diagrammatically electrons coupled to the excited state plasmons and predict new spectral features that can be observed in the time-resolved measurements.
format	article
author	Y. Pavlyukh
author_facet	Y. Pavlyukh
author_sort	Y. Pavlyukh
title	Padé resummation of many-body perturbation theories
title_short	Padé resummation of many-body perturbation theories
title_full	Padé resummation of many-body perturbation theories
title_fullStr	Padé resummation of many-body perturbation theories
title_full_unstemmed	Padé resummation of many-body perturbation theories
title_sort	padé resummation of many-body perturbation theories
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/7948b10d48014d819ade677da8421d38
work_keys_str_mv	AT ypavlyukh paderesummationofmanybodyperturbationtheories
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Padé resummation of many-body perturbation theories

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