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Aspects on diagrammatic expansion for models related to a homogeneous electron gas

Minnhagen, Petter LU (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)
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author
organization
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type
Contribution to journal
publication status
published
subject
in
Journal of Physics C: Solid State Physics
volume
8
issue
10
pages
1535 - 1548
publisher
Institute of Physics
external identifiers
  • Scopus:36149053837
ISSN
0022-3719
DOI
10.1088/0022-3719/8/10/010
language
English
LU publication?
yes
id
8351f29f-10e3-4b5f-a5f0-452f4f870837 (old id 8821320)
date added to LUP
2016-03-04 09:32:50
date last changed
2017-01-01 07:52:59
@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    = {Institute of Physics},
  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},
  volume       = {8},
  year         = {1975},
}