Continued-fraction technique for tight-binding systems. A generalized-moments method

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Abstract
The tight-binding scheme has been largely used in the description of the electronic properties of disordered systems. Several direct-space techniques of calculation have been developed in order to compute the density of electronic states; among those the moments method and the recursion scheme have become popular. We discuss both of them and we propose a new method that interpolates between these two techniques. It is based on the calculations of generalized moments. We show that the generalized-moments method shares the advantages of both methods and avoids their difficulties.