Abstract
The attenuation and frequency shift of surface acoustic waves of Rayleigh and 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 piezoelectric effect. The electron gas is subjected to a static magnetic field directed normal to the interfaces of the layered system. The one- and two-dimensional periodic spatial modulations are due either to an electrostatic external 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.
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