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- W2039971494 startingPage "6841" @default.
- W2039971494 abstract "The local electronic structure at a region ${C}^{M}$ within a disordered system, characterized by a definite composition ${t}^{M}$, is described by a partially averaged Green matrix ${stackrel{-}{stackrel{-}{G}}}^{{t}^{M}}(ensuremath{epsilon})$, which is obtained in principle by performing a weighted average over all compositions in the rest of the system. It is shown that essentially correct information about ${stackrel{-}{stackrel{-}{G}}}^{{t}^{M}}(ensuremath{epsilon})$ can be extracted from intermediate quantities that become available when adopting the traveling cluster approximation, or a simplified form thereof, for calculating the average properties of the system. When the partially averaged Green matrices are known, a number of problems are easily solved: The effect of short-range order on the electronic properties of the system can be evaluated, the local-bond-order matrices become available and generalized Hartree-Fock equations for disordered systems can be formulated, and different kinds of defects at specified locations can be treated. Examples of applications are provided, referring to a linear infinite chain in the tight-binding approximation, for which exact results are known from numerical calculations. As an example of defects the semi-infinite chain is considered with different compositions at its terminal end." @default.
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- W2039971494 date "1984-12-15" @default.
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- W2039971494 title "Local electronic structures in disordered systems" @default.
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- W2039971494 doi "https://doi.org/10.1103/physrevb.30.6841" @default.
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