scholarly journals Self-consistent calculation of total energies of the electron gas using many-body perturbation theory

2001 ◽  
Vol 63 (7) ◽  
Author(s):  
P. García-González ◽  
R. W. Godby
Keyword(s):  
Perturbation Theory ◽  
Electron Gas ◽  
Many Body ◽  
Consistent Calculation ◽  
Self Consistent ◽  
Many Body Perturbation Theory ◽  
Total Energies

scholarly journals Spectra and total energies from self-consistent many-body perturbation theory

1998 ◽  
Vol 58 (19) ◽  
pp. 12684-12690 ◽  
Author(s):  
Arno Schindlmayr ◽  
Thomas J. Pollehn ◽  
R. W. Godby
Keyword(s):  
Perturbation Theory ◽  
Many Body ◽  
Self Consistent ◽  
Many Body Perturbation Theory ◽  
Total Energies

VARIATIONAL TOTAL ENERGIES FROM Φ- AND Ψ- DERIVABLE THEORIES

1999 ◽  
Vol 13 (05n06) ◽  
pp. 535-541 ◽  
Author(s):  
C.-O. ALMBLADH ◽  
U. VON BARTH ◽  
R. VAN LEEUWEN
Keyword(s):  
Perturbation Theory ◽  
Electron Gas ◽  
Electron Systems ◽  
Many Body ◽  
Independent Variables ◽  
Many Body Perturbation Theory ◽  
Total Energies ◽  
The One ◽  
Two Independent Variables ◽  
Variational Expression

Starting from many-body perturbation theory we have constructed a new variational expression for the total energy of many-electron systems. This expression is a functional of two independent variables, the one-electron Green function and the screened Coulomb interaction. The new functional as well as a much older variational expression by Luttinger and Ward (LW) are tested on the interacting electron gas. Both functionals yield extraordinary accurate total energies although the new functional requires a much cruder input and is therefore easier to apply to more realistic systems.

THE SCREENING FUNCTION OF AN INTERACTING ELECTRON GAS

1966 ◽  
Vol 44 (9) ◽  
pp. 2137-2171 ◽  
Author(s):  
D. J. W. Geldart ◽  
S. H. Vosko
Keyword(s):  
Electron Gas ◽  
Substantial Contribution ◽  
Fundamental Relation ◽  
Many Body ◽  
Screening Constant ◽  
Self Energy ◽  
Self Consistent ◽  
Small Wave ◽  
Many Body Perturbation Theory ◽  
Zero Frequency

The screening function of an interacting electron gas at high and metallic densities is investigated by many-body perturbation theory. The analysis is guided by a fundamental relation between the compressibility of the system and the zero-frequency small wave-vector screening function (i.e. screening constant). It is shown that the contribution from a graph not included in previous work is essential to obtain the lowest-order correlation correction to the screening constant at high density. Also, this graph gives a substantial contribution to the screening constant at metallic densities. The general problem of choosing a self-consistent set of graphs for calculating the screening function is discussed in terms of a coupled set of integral equations for the propagator, the self-energy, the vertex function, and the screening function. A modification of Hubbard's (1957) form of the screening function is put forward on the basis of these results.

scholarly journals First-principles description of charge transfer in donor-acceptor compounds from self-consistent many-body perturbation theory

2014 ◽  
Vol 90 (8) ◽  
Author(s):  
Fabio Caruso ◽  
Viktor Atalla ◽  
Xinguo Ren ◽  
Angel Rubio ◽  
Matthias Scheffler ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Charge Transfer ◽  
First Principles ◽  
Many Body ◽  
Self Consistent ◽  
Donor Acceptor ◽  
Many Body Perturbation Theory

New self-consistent many-body perturbation theory: Application to the Hubbard model

1975 ◽  
Vol 11 (6) ◽  
pp. 2148-2154 ◽  
Author(s):  
A. J. Fedro ◽  
R. S. Wilson
Keyword(s):  
Perturbation Theory ◽  
Hubbard Model ◽  
Many Body ◽  
Self Consistent ◽  
Theory Application ◽  
Many Body Perturbation Theory

scholarly journals Accurate X-Ray Spectral Predictions: An Advanced Self-Consistent-Field Approach Inspired by Many-Body Perturbation Theory

2017 ◽  
Vol 118 (9) ◽  
Author(s):  
Yufeng Liang ◽  
John Vinson ◽  
Sri Pemmaraju ◽  
Walter S. Drisdell ◽  
Eric L. Shirley ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Many Body ◽  
X Ray ◽  
Field Approach ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Many Body Perturbation Theory
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