Selfconsistency and the GWapproximation
(1997) Abstract
 The effects of selfconsistency in the GWapproximation are studied. The $GWA$ is known to describe the electronic properties of a wide range of materials very well. However, the calculations made so far have not taken into account the issue of selfconsistency, which is implied in the original formulation of the $GWA$. The role of selfconsistency is investigated by calculating the electronic selfenergy of the homogeneous electron gas, using the $GWA$ with different levels of selfconsistency.
It is demonstrated that the physical properties produced by a fully selfconsistent scheme do not agree well with experiment. The necessity of vertex corrections is pointed out. However, it is shown that the total energies... (More)  The effects of selfconsistency in the GWapproximation are studied. The $GWA$ is known to describe the electronic properties of a wide range of materials very well. However, the calculations made so far have not taken into account the issue of selfconsistency, which is implied in the original formulation of the $GWA$. The role of selfconsistency is investigated by calculating the electronic selfenergy of the homogeneous electron gas, using the $GWA$ with different levels of selfconsistency.
It is demonstrated that the physical properties produced by a fully selfconsistent scheme do not agree well with experiment. The necessity of vertex corrections is pointed out. However, it is shown that the total energies resulting from this scheme, calculated through the GalitskiiMigdal formula, agree very well with existing MonteCarlo data. Numerical evidence also confirms that the scheme of full selfconsistency fulfills the criteria of a socalled conserving approximation.
Further, a scheme of partial selfconsistency is presented and investigated. The application of this scheme to a real system lies within reach of present day computer capability. It is found that the partial selfconsistency gives a reasonable description of most physical properties. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/29032
 author
 Holm, Bengt ^{LU}
 opponent

 Shirley, Eric L.
 organization
 publishing date
 1997
 type
 Thesis
 publication status
 published
 subject
 keywords
 Matematisk och allmän teoretisk fysik, thermodynamics, Spectral Function, Greens functions, Selfenergy, classical mechanics, Mathematical and general theoretical physics, Quasiparticle., quantum mechanics, relativity, statistical physics, gravitation, klassisk mekanik, kvantmekanik, relativitet, statistisk fysik, termodynamik, Fysicumarkivet A:1997:Holm
 pages
 122 pages
 publisher
 B. Holm
 defense location
 Physics bldg, Hall B
 defense date
 19970228 10:15
 external identifiers

 Other:ISRN: LUNFD6/(NFTF1031)/1122/(1997)
 language
 English
 LU publication?
 yes
 id
 0d4d373c8a2541d1ad54a0c6b0ffea39 (old id 29032)
 date added to LUP
 20070612 13:45:49
 date last changed
 20160919 08:45:08
@misc{0d4d373c8a2541d1ad54a0c6b0ffea39, abstract = {The effects of selfconsistency in the GWapproximation are studied. The $GWA$ is known to describe the electronic properties of a wide range of materials very well. However, the calculations made so far have not taken into account the issue of selfconsistency, which is implied in the original formulation of the $GWA$. The role of selfconsistency is investigated by calculating the electronic selfenergy of the homogeneous electron gas, using the $GWA$ with different levels of selfconsistency.<br/><br> <br/><br> It is demonstrated that the physical properties produced by a fully selfconsistent scheme do not agree well with experiment. The necessity of vertex corrections is pointed out. However, it is shown that the total energies resulting from this scheme, calculated through the GalitskiiMigdal formula, agree very well with existing MonteCarlo data. Numerical evidence also confirms that the scheme of full selfconsistency fulfills the criteria of a socalled conserving approximation.<br/><br> <br/><br> Further, a scheme of partial selfconsistency is presented and investigated. The application of this scheme to a real system lies within reach of present day computer capability. It is found that the partial selfconsistency gives a reasonable description of most physical properties.}, author = {Holm, Bengt}, keyword = {Matematisk och allmän teoretisk fysik,thermodynamics,Spectral Function,Greens functions,Selfenergy,classical mechanics,Mathematical and general theoretical physics,Quasiparticle.,quantum mechanics,relativity,statistical physics,gravitation,klassisk mekanik,kvantmekanik,relativitet,statistisk fysik,termodynamik,Fysicumarkivet A:1997:Holm}, language = {eng}, pages = {122}, publisher = {ARRAY(0xb2da788)}, title = {Selfconsistency and the GWapproximation}, year = {1997}, }