Dynamical trace-map of the tight-binding model is investigated by generalizing the stacking rule of the Fibonacci lattice. The recurrence relation is defined by D(n + l) =D(n)pD(n-1)q for positive integers p and q, where D(n) is the atomic sequence of the n-th generation. The structure of the dynamical trace-map is analyzed in terms of the invariant and the quasi-invariant of the map. Characteristic features of the wave function, local density of states and the average density of states are analyzed.
ASJC Scopus subject areas
- Physics and Astronomy(all)