Abstract
In this chapter we examine first a system consisting of two “impurities” embedded in a periodic tight-binding Hamiltonian (TBH). This prepares the way for the approximate treatment of a disordered system containing a nonzero concentration of impurities. We examine in particular the average DOS, which depends on the average Green’s function <G>, and transport coefficients like the electrical conductivity, which depends on an average of the form <GAG>, where A is a known operator. Finally we discuss the important question of disorder-induced localization.
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Economou, E.N. (1983). Two or More Impurities; Disordered Systems. In: Green’s Functions in Quantum Physics. Springer Series in Solid-State Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02369-3_7
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