Simpler expression for evaluating the density matrix in the self-consistent Green's-function method

1979 ◽  
Vol 20 (10) ◽  
pp. 4363-4364 ◽  
Author(s):  
G. A. Baraff ◽  
M. Schlüter
Keyword(s):  
Density Matrix ◽  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
The Self ◽  
Green’S Function Method ◽  
Self Consistent

Self-consistent Green’s-function method for surfaces of random alloys

1993 ◽  
Vol 47 (24) ◽  
pp. 16525-16531 ◽  
Author(s):  
J. Kudrnovský ◽  
I. Turek ◽  
V. Drchal ◽  
P. Weinberger ◽  
S. K. Bose ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Green’S Function Method ◽  
Self Consistent ◽  
Random Alloys

Self-consistent Green’s-function method for random overlayers

1992 ◽  
Vol 46 (7) ◽  
pp. 4222-4228 ◽  
Author(s):  
J. Kudrnovský ◽  
I. Turek ◽  
V. Drchal ◽  
P. Weinberger ◽  
N. E. Christensen ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Green’S Function Method ◽  
Self Consistent

Utilization of Canonical Transformations for the Vibronic Self-Energies of Coupled Impurity Centers

1973 ◽  
Vol 28 (11) ◽  
pp. 1782-1786 ◽  
Author(s):  
N. N. Kristoffel ◽  
E. Sigmund ◽  
M. Wagner
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Simple Form ◽  
Function Method ◽  
Second Order ◽  
The Self ◽  
Canonical Transformations ◽  
Green’S Function Method ◽  
Non Linear ◽  
Impurity Centers

The self-energies of a system of two electronically coupled impurity centers, one of which inter-acts with the vibrations of the surrounding crystal (Fano system), are derived by use of non-linear canonical transformations. The regions of applicability of this method are discussed and the results compared with those derived by Green’s function techniques in an earlier paper of one of the authors (N. N. K.). The self-energies calculated up to second order have a very simple form and exhibit the correct behaviour also in regions where the results of the Green’s function method are no longer valid.

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