Abstract
Two types of Thue-Morse lattices of the 7th and the 10th orders have been grown by molecular-beam-epitaxy. Though the lattice has no periodicity, many sharp peaks are observed in Raman measurements. The observed all peaks are specified by (2k+1)⁄3·2p with integers k and p. The frequency and scattering intensity of folded LA phonon modes can be explained by the elastic and photoelastic continuum model. The correlation of lattice arrangements becomes weak with increasing the order of the Thue-Morse lattices. These imply that the Thue-Morse lattice locates between quasi-periodic and random lattices.
