Aspects on diagrammatic expansion for models related to a homogeneous electron gas
(1975) In Journal of Physics C: Solid State Physics 8(10). p.15351548 Abstract
 n a previous paper (see abstr. A76748 of 1974) the expansion of the irreducible selfenergy of an electron gas was studied and found to give unreliable results for the satellites of the oneelectron 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 (smodel) 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 oneelectron 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 selfenergy of an electron gas was studied and found to give unreliable results for the satellites of the oneelectron 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 (smodel) 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 oneelectron 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 smodel 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
 00223719
 DOI
 10.1088/00223719/8/10/010
 language
 English
 LU publication?
 yes
 additional info
 DOI: 10.1088/00223719/8/10/010
 id
 8351f29f10e34b5fa5f0452f4f870837 (old id 8821320)
 date added to LUP
 20160404 09:39:41
 date last changed
 20210103 03:37:16
@article{8351f29f10e34b5fa5f0452f4f870837, abstract = {{n a previous paper (see abstr. A76748 of 1974) the expansion of the irreducible selfenergy of an electron gas was studied and found to give unreliable results for the satellites of the oneelectron 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 (smodel) 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 oneelectron 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 smodel 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 = {{00223719}}, language = {{eng}}, number = {{10}}, pages = {{15351548}}, 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/10.1088/00223719/8/10/010}}, doi = {{10.1088/00223719/8/10/010}}, volume = {{8}}, year = {{1975}}, }