We have shown that for quantum wells placed close to the stress-free surfac
e of the semiconductor heterostructure, the energy relaxation rate of two-d
imensional electrons interacting with acoustic phonons at low temperatures
(Bloch-Gruneisen regime) is changed considerably in comparison with that of
a two-dimensional electron gas placed in a bulk of semiconductor. The rela
xation rate is enhanced in the case of a semiconductor-vacuum system and is
suppressed in the case of the surface covered by a thin metal him. The enh
anced energy loss is caused by additional scattering at localized and refle
cted acoustic waves, and the decrease appears due to suppression of piezoel
ectric scattering in the vicinity of the metal. (C) 2000 Academic Press.