This study addresses the effect of proximity of a quantum well to a stress-
free surface of the semiconductor heterostructure on the momentum relaxatio
n rate of two-dimensional electrons interacting with acoustic phonons via p
iezoelectric and deformation potentials. The results obtained demonstrate t
hat for narrow quantum wells placed close to the surface the relaxation rat
e at low temperatures (Bloch-Gruneisen regime) is changed considerably in c
omparison with that of a two-dimensional electron gas placed in a bulk of s
emiconductor. For the temperatures where the piezoelectric potential intera
ction dominates over the deformation potential interaction, the near-surfac
e relaxation 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 film.
The temperature dependence of the near-surface momentum relaxation rate is
found to be T-alpha for values of T far below the Bloch-Gruneisen temperatu
re. For a semiconductor-vacuum system, alpha = 3 and 5 for piezoelectric an
d deformation potential scattering, respectively; for a semiconductor-metal
system, alpha = 5 for both mechanisms. It is predicted that screening chan
ges the temperature dependences of momentum relaxation rates: for a semicon
ductor-vacuum system, alpha = 5 and 7 for piezoelectric and deformation pot
ential scattering, respectively. Screening does not change a in the case of
metal-semiconductor system. (C) 1999 Elsevier Science B.V. All rights rese
rved.