We report the first realization of a quasiperiodic (incommensurate) superlattice. The sample, grown by molecular-beam epitaxy, consists of alternating layers of GaAs and AlAs to form a Fibonacci sequence in which the ratio of incommensurate periods is equal to the golden mean $\tau$. X-ray and Raman scattering measurements are presented that reveal some of the unique properties of these novel structures.

• Received 28 June 1985

DOI:https://doi.org/10.1103/PhysRevLett.55.1768