Self-consistent Green's function theory for interacting electrons in a random potential

1985 ◽  
Vol 60 (2-4) ◽  
pp. 393-400 ◽  
Author(s):  
G. Vignale ◽  
W. Hanke
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Theory ◽  
Random Potential ◽  
Self Consistent ◽  
Interacting Electrons

scholarly journals Recent Applications of Self-Consistent Green’s Function Theory to Nuclei

2018 ◽  
Vol 966 ◽  
pp. 012015 ◽  
Author(s):  
Carlo Barbieri ◽  
Francesco Raimondi ◽  
Christopher McIlroy
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Theory ◽  
Self Consistent

scholarly journals Fractional charge and spin errors in self-consistent Green’s function theory

2015 ◽  
Vol 142 (19) ◽  
pp. 194108 ◽  
Author(s):  
Jordan J. Phillips ◽  
Alexei A. Kananenka ◽  
Dominika Zgid
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Theory ◽  
Fractional Charge ◽  
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.

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