Abstract
Abstract The electronic spectrum of a Fibonacci chain is studied by means of renormalization group techniques. The method is based on a systematic decimation of the local Green function in chains with period l=a+b and with ratio of short to long bonds r= a b , generated by the projection method. The electronic or vibrational spectra can be calculated, in a simple manner, to any degree of accuracy. To illustrate the method, the total electronic densities of states of chains with ratios r= 1 2 , 2 3 , 3 5 , 5 8 , 8 13 , 13 21 , and 21 34 are calculated.
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