Density of states of disordered systems of a Bethe lattice: a renormalisation-group approach

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Abstract
The authors present a new method for calculating the density of electronic states on a Bethe lattice which makes use of real-space renormalisation-group techniques. This new method is very simple from the computational point of view and can be used to investigate both ordered and disordered systems. They consider here random binary alloys AxB1-x and show that the results they get for the density of electronic states of those systems using renormalisation-group techniques exhibit structures which are not revealed by calculations based on the coherent-potential approximation.