Abstract
The model proposed recently by Brezini (1983) to calculate the average probability and the average size of the localisation domain for an electron being localised at a given site in a disordered Cayley tree is extended to the case of a uniform distribution for site energies. Thus, numerical results are presented in the limit of weak disorder. Particular attention is paid to the states near the mobility edge and critical exponents are deduced for the localisation length.
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