Improved local-field corrections to the G_ {0} W approximation in jellium: Importance of consistency relations
(1997) In Physical Review B 56(20). p.12832-12839- Abstract
- We study the effects of local vertex corrections to the self-energy of the electron gas. We find that a vertex derived from time-dependent density-functional theory can give accurate self-energies, provided, however, a proper decay at large momentum transfer (large q) is built into the vertex function. (The local-density approximation for the vertex fails badly.) Total energies are calculated from the Galitskii-Migdal formula, and it is shown that a proper large-q behavior results in a close consistency between the chemical potentials derived from these energies and those obtained directly from the self-energy. We show that this internal consistency depends critically on including the same vertex correction in both the self-energy and the... (More)
- We study the effects of local vertex corrections to the self-energy of the electron gas. We find that a vertex derived from time-dependent density-functional theory can give accurate self-energies, provided, however, a proper decay at large momentum transfer (large q) is built into the vertex function. (The local-density approximation for the vertex fails badly.) Total energies are calculated from the Galitskii-Migdal formula, and it is shown that a proper large-q behavior results in a close consistency between the chemical potentials derived from these energies and those obtained directly from the self-energy. We show that this internal consistency depends critically on including the same vertex correction in both the self-energy and the screening function. In addition the total energies become almost as accurate as those from elaborate Monte Carlo calculations. This as well as previous works show that self-energy corrections are important for properly describing electron propagation at energies around and above the plasmon energy. For easy use in calculations of photoemission and x-ray extended fine structure spectra, we parametrize our calculated self-energies in terms of a simple analytical expression. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8774182
- author
- Almbladh, Carl-Olof LU and Hindgren, Mikael
- organization
- publishing date
- 1997
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review B
- volume
- 56
- issue
- 20
- pages
- 12832 - 12839
- publisher
- American Physical Society
- external identifiers
-
- scopus:0006846587
- ISSN
- 1550-235X
- language
- English
- LU publication?
- yes
- id
- bf22f475-bf47-4d5a-b007-506bb15c9593 (old id 8774182)
- date added to LUP
- 2016-04-04 13:48:22
- date last changed
- 2022-01-30 00:56:34
@article{bf22f475-bf47-4d5a-b007-506bb15c9593,
abstract = {{We study the effects of local vertex corrections to the self-energy of the electron gas. We find that a vertex derived from time-dependent density-functional theory can give accurate self-energies, provided, however, a proper decay at large momentum transfer (large q) is built into the vertex function. (The local-density approximation for the vertex fails badly.) Total energies are calculated from the Galitskii-Migdal formula, and it is shown that a proper large-q behavior results in a close consistency between the chemical potentials derived from these energies and those obtained directly from the self-energy. We show that this internal consistency depends critically on including the same vertex correction in both the self-energy and the screening function. In addition the total energies become almost as accurate as those from elaborate Monte Carlo calculations. This as well as previous works show that self-energy corrections are important for properly describing electron propagation at energies around and above the plasmon energy. For easy use in calculations of photoemission and x-ray extended fine structure spectra, we parametrize our calculated self-energies in terms of a simple analytical expression.}},
author = {{Almbladh, Carl-Olof and Hindgren, Mikael}},
issn = {{1550-235X}},
language = {{eng}},
number = {{20}},
pages = {{12832--12839}},
publisher = {{American Physical Society}},
series = {{Physical Review B}},
title = {{Improved local-field corrections to the G_ {0} W approximation in jellium: Importance of consistency relations}},
volume = {{56}},
year = {{1997}},
}