Towards a self-consistent Dirac Green’s function approximation to asymmetric nuclear matter

2004 ◽  
Author(s):  
E. Baldini-Neto
Keyword(s):  
Nuclear Matter ◽  
Green’S Function ◽  
Green's Function ◽  
Function Approximation ◽  
Asymmetric Nuclear Matter ◽  
Self Consistent

scholarly journals Many-impurity scattering on the surface of a topological insulator

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
José Luis Hernando ◽  
Yuriko Baba ◽  
Elena Díaz ◽  
Francisco Domínguez-Adame
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Topological Insulator ◽  
Disordered Systems ◽  
Spectral Properties ◽  
Random Distribution ◽  
Surface States ◽  
Impurity Scattering ◽  
Self Consistent ◽  
The Impact

AbstractWe theoretically address the impact of a random distribution of non-magnetic impurities on the electron states formed at the surface of a topological insulator. The interaction of electrons with the impurities is accounted for by a separable pseudo-potential method that allows us to obtain closed expressions for the density of states. Spectral properties of surface states are assessed by means of the Green’s function averaged over disorder realisations. For comparison purposes, the configurationally averaged Green’s function is calculated by means of two different self-consistent methods, namely the self-consistent Born approximation (SCBA) and the coherent potential approximation (CPA). The latter is often regarded as the best single-site theory for the study of the spectral properties of disordered systems. However, although a large number of works employ the SCBA for the analysis of many-impurity scattering on the surface of a topological insulator, CPA studies of the same problem are scarce in the literature. In this work, we find that the SCBA overestimates the impact of the random distribution of impurities on the spectral properties of surface states compared to the CPA predictions. The difference is more pronounced when increasing the magnitude of the disorder.

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
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