Aspects on diagrammatic expansion for models related to a homogeneous electron gas
(1975) In Journal of Physics C: Solid State Physics 8(10). p.1535-1548- Abstract
- n a previous paper (see abstr. A76748 of 1974) the expansion of the irreducible self-energy of an electron gas was studied and found to give unreliable results for the satellites of the one-electron spectra function. This was due to the incorrect analytic properties of the corresponding green function. These results are confirmed and extended by studying a simple model (s-model) which allows the nature of different approximation schemes to be demonstrated clearly. A consistent iterative expansion method for the green function is also developed, which, in addition to giving a one-electron green function with correct analyticity and a spectral function fulfilling the sum rule, is computationally simple enough to be used for an electron gas... (More)
- n a previous paper (see abstr. A76748 of 1974) the expansion of the irreducible self-energy of an electron gas was studied and found to give unreliable results for the satellites of the one-electron spectra function. This was due to the incorrect analytic properties of the corresponding green function. These results are confirmed and extended by studying a simple model (s-model) which allows the nature of different approximation schemes to be demonstrated clearly. A consistent iterative expansion method for the green function is also developed, which, in addition to giving a one-electron green function with correct analyticity and a spectral function fulfilling the sum rule, is computationally simple enough to be used for an electron gas and possibly for simple metals. The method gives quite reasonable results for the s-model when developed to second order in the screened interaction. From comparison with other electron gas calculations it is concluded that the method should also give reasonable results for an electron gas.(9 refs) (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8821320
- author
- Minnhagen, Petter LU
- organization
- publishing date
- 1975
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics C: Solid State Physics
- volume
- 8
- issue
- 10
- pages
- 1535 - 1548
- publisher
- IOP Publishing
- external identifiers
-
- scopus:36149053837
- ISSN
- 0022-3719
- DOI
- 10.1088/0022-3719/8/10/010
- language
- English
- LU publication?
- yes
- additional info
- DOI: 10.1088/0022-3719/8/10/010
- id
- 8351f29f-10e3-4b5f-a5f0-452f4f870837 (old id 8821320)
- date added to LUP
- 2016-04-04 09:39:41
- date last changed
- 2021-01-03 03:37:16
@article{8351f29f-10e3-4b5f-a5f0-452f4f870837,
abstract = {{n a previous paper (see abstr. A76748 of 1974) the expansion of the irreducible self-energy of an electron gas was studied and found to give unreliable results for the satellites of the one-electron spectra function. This was due to the incorrect analytic properties of the corresponding green function. These results are confirmed and extended by studying a simple model (s-model) which allows the nature of different approximation schemes to be demonstrated clearly. A consistent iterative expansion method for the green function is also developed, which, in addition to giving a one-electron green function with correct analyticity and a spectral function fulfilling the sum rule, is computationally simple enough to be used for an electron gas and possibly for simple metals. The method gives quite reasonable results for the s-model when developed to second order in the screened interaction. From comparison with other electron gas calculations it is concluded that the method should also give reasonable results for an electron gas.(9 refs)}},
author = {{Minnhagen, Petter}},
issn = {{0022-3719}},
language = {{eng}},
number = {{10}},
pages = {{1535--1548}},
publisher = {{IOP Publishing}},
series = {{Journal of Physics C: Solid State Physics}},
title = {{Aspects on diagrammatic expansion for models related to a homogeneous electron gas}},
url = {{http://dx.doi.org/10.1088/0022-3719/8/10/010}},
doi = {{10.1088/0022-3719/8/10/010}},
volume = {{8}},
year = {{1975}},
}