Abstract. Acoustic phonon modes of a free-standing rectangular quantum wire of cubic crystals are theoretically investigated using an algorithm developed to analyze data from resonant ultrasound spectroscopy. The normal phonon modes are classified by their spatial symmetries into a compressional mode termed the dilatational mode and non-compressional modes referred to as the flexural, torsional and shear modes. The formalism we present is quite general and can be applied to wires of any cubic material. As an example, the dispersion relations are obtained for square and rectangular wires of GaAs, taking into account anisotropic elasticity of the material. The dispersion curves for a rectangular wire are compared with those of the approximate hybrid modes referred to as the thickness and width modes, and the validity of the modes is discussed. The existence of edge modes is confirmed by examining the spatial distribution of displacement vectors.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.