Effects of Electron Correlation inside Disordered Crystals

We propose a novel approach for characterising the electron spectrum of disordered crystals constructed from Hamiltonian electrons as well phonons and diagram Green’s function. The system’s electronic states were modelled by means multi-band, tight-binding approach. is described based on wave functions at field atom nucleus. Our incorporates long-range Coulomb interplay located in different lattice positions. Explicit interpretations are derived using method. Equations obtained vertex components mass operators electron–electron aselectron–phonon interplays. A system equations elementary excitations crystal obtained, which electron–phonon interplays renormalised. Thismakes it possible to perform numerical computationsfor energy with predetermined accuracy. In contrast other approaches correlations only taken into account limiting cases an infinitely large infinitesimal density, this method, general case arbitrary density. cluster expansion density (DOS) systems. demonstrate that addition electron-scattering mechanismsto clusters decreasing. This happens due growing number positions cluster, hang ontothe small parameter. computing exactness fixed parameter phonons.