Abstract
We use degenerate perturbation theory to study the electronic energy spectrum of the one-dimensional two-component nondiagonal Thue-Morse lattice, where the nearest-neighbor hopping integral t n takes two values, T (strong bond) and t (weak bond), arranged in the Thue-Morse sequence. To second order in the small parameter t T , we obtain the density of states of the Thue-Morse lattice. The quantitative predictions for the density of states are in good agreement with the numerical results obtained by exact diagonalization. The branching properties of the energy spectrum are discussed.
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