Abstract

We present a real-space renormalization-group approach to calculate the electronic average Green functions of one-dimensional aperiodic lattices. The characteristic of this approach is that it is only concerned with the global symmetry of the lattice under the renormalization-group transformation and the average Green function can be calculated in a simple manner to any degree of accuracy. The Thue-Morse and the Fibonacci lattices are studied in detail to illustrate the method.

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