I. Berbezier et al., ELASTIC STRAIN RELAXATION IN SI1-XGEX LAYERS EPITAXIALLY GROWN ON SI SUBSTRATES, Surface review and letters, 5(1), 1998, pp. 133-138
We have investigated the elastic strain relaxation in Si1-xGex layers
grown by the molecular beam epitaxy (MBE) technique and in situ contro
lled with RHEED. Up to approximate to 0.8% critical lattice mismatch (
about 20% Ge) uniform strained and flat layers were grown both on (111
) and on (001) Si substrates. Calculations of the elastic constants ev
idenced a tetragonal distortion about 50% higher on (001) than on (111
) in the same experimental conditions. At higher misfits (and/or thick
nesses) a growth instability was evidenced only on (001) Si substrates
. Si1-xGex layers there displayed a surface layer undulation. On the c
ontrary, Si1-xGex layers grown on (111) Si substrates remained smooth
throughout the growth up to the plastic relaxation of the layers. To d
etermine stress fields in the Si1-xGex layers, a high spatial resoluti
on convergent beam electron diffraction (CBED) experiment was performe
d with a field effect analytical microscope. The CBED technique was ap
plied to two typical cases: totally strained layer and undulated dislo
cation-free layer. In the latter case, CBED patterns recorded on nanom
eter scale areas of an undulation crest (cross-section sample) showed
a gradual elastic relaxation mainly directed along the growth axis (z)
. Moreover a triclinic distortion of the unit cell was pointed out. Th
ese results were confirmed on a plane view sample. In conclusion, our
results show that the driving force for the undulation is not the in-p
lane elastic relaxation since CBED experiments proved an important ela
stic relaxation of the (001) Si1-xGex layers along the z axis. This wa
s in agreement with the calculations of the elastic constants. We thin
k that this could be at the origin of the undulation.