Abstract
Dynamical trace map of the tight-binding model is investigated for the generalized Fibonacci lattice characterized by the stacking rule S( n+1)= S( n) p S( n−1) q with p,q integers, where S(n) is the atomic sequence of the n-th generation. An expression is found of a quasi-invariant which is valid for any set of (p,q) and also of the invariant of the trace map for q=1 and q= p+1. Average density of states is calculated for p=2, q=1, 2 and 3.
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