We have measured the longitudinal magnetoresistance of a lateral surfa
ce superlattice with a period of 270 nm where the electrons are only 2
8 nm deep. The commensurability oscillations have a strong second harm
onic content. This reflects a non-sinusoidal potential in the two-dime
nsional electron gas, a consequence of the shallow structure. The shap
e of the potential cannot be explained by a pinned GaAs surface and in
dicates that the surface charge is frozen or that the electrons feel a
n elastic strain field from the metal gates.