Surface acoustic waves and magnetotransport in an embedded modulated two-dimensional electron gas

The attenuation and frequency shift of surface acoustic waves of Rayleigh a nd Sezawa types are calculated, which propagate in a layered semiconductor heterostructure containing an embedded spatially modulated two-dimensional electron gas (2DEG). The surface waves couple to the 2DEG via the piezoelec tric effect. The electron gas is subjected to a static magnetic field direc ted normal to the interfaces of the levered system. The one- and two-dimens ional periodic spatial modulations are due either to an electrostatic exter nal potential or to a spatially varying magnetic field. The effects of the anisotropy of the elastic media as well as the two-dimensionally modulated electron gas are studied on the Weiss oscillations occurring in this system .