Abstract
We have measured the Shubnikov-de Haas (SdH) oscillations of a nonplanar two-dimensional electron gas (2DEG) fabricated by overgrowth of a GaAs/AlGaAs heterojunction on a pre-patterned substrate. When placed in a uniform external magnetic field B, the field normal to the nonplanar 2DEG is spatially modulated, and electrons experience a nonuniform magnetic field. In a tilted magnetic field, the SdH oscillations are much more strongly damped than in a field perpendicular to the substrate. We consider several mechanisms which may be responsible for the anomalous behaviour of the SdH oscillations in the tilted magnetic field. We conclude that the electron scattering by the magnetic field spatial fluctuations plays a main role in the transport properties of a nonplanar 2DEG at low magnetic field. An analysis of the Shubnikov-de Haas oscillations in a tilted magnetic field provides a new method to study the surface profile of a nonplanar heterostructure containing a 2DEG.
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