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In a method of coherent potential average function of Green of the disorder system turns out from Green's function for an ideal lattice replacement of energy by complex size. Analytical properties of the sizes calculated in odnouzelny approach of coherent potential are nontrivial; Green's function an analitichna everywhere, except lines of the cuts corresponding to an impurity zone and a zone of the main crystal.

Here, as well as in (1, - operators of destruction and the birth of electrons of Vanye in a hub i with back . It is considered that integrals of a pereskok are identical to both grades of atoms And and In, i.e.; zonal structure pure a component A and B for lack of Coulomb interaction the identical. Sizes and - the one-partial potential and intratomic Coulomb interaction respectively:

thus, the disorder described within approach of coherent potential is characterized by two parameters and. Filling averages in (71 which differ for different an alloy component (or, iA, or, has to be defined in a samosoglasovanny way. The last circumstance leads to that not each elementary cell is elektrononeytralny and transfer of a final charge can take place.