Geodesic
Averaging the resolvent with a space-correlated random potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 296-313 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of the quasi-particle spectrum in a binary disordered alloy with a space-orrelated random potential is considered. The extended space formalism is used to represent the average resolvent. To calculate the mass operator, some self-consistent approximation procedures are suggested that coincide with the well-known self-consistent approximations for $\alpha =0$ (where $\alpha$ is the short-range order parameter). The elaborated theory ensures the correct passage to the Green's function of a perfect crystal in the limits $\alpha\to 1$ and $\alpha\to -1$ for any concentration and 50 approximations possess the correct analytic properties for all values of the parameter $\alpha$. 
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     author = {A. K. Arzhnikov and A. A. Bagrets and D. A. Bagrets},
     title = {Averaging the resolvent with a~space-correlated random potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {296--313},
     year = {1998},
     volume = {114},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a5/}
}
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A. K. Arzhnikov; A. A. Bagrets; D. A. Bagrets. Averaging the resolvent with a space-correlated random potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 296-313. http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a5/

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