Pw. Lukey et al., OBSERVATION OF STRAIN-RELAXATION-INDUCED SIZE EFFECTS IN P-TYPE SI SIGE RESONANT-TUNNELING DIODES/, Physical review. B, Condensed matter, 57(12), 1998, pp. 7132-7140
We have studied the effect of strain relaxation in small Si/SiGe reson
ant-tunneling diodes (RTD's) on the tunneling of holes through these s
tructures. We have used RTD's mesa-etched into dots and wires, the lat
eral dimensions ranging from 10 mu m down to 230 nm. In the dots we fi
nd a very strong shift of the light-hole (LH) resonance in the tunneli
ng spectrum as the dot diameter decreases below 1 mu m, while the posi
tion of the heavy-hole (HH) resonance is constant. In the wires, on th
e contrary, this size effect in the tunneling is completely absent: bo
th peak positions are constant. This behavior, including the surprisin
g insensitivity of the tunneling spectrum to the wire width, arises fr
om a substantial degree of strain relaxation in the SiGe layers of the
devices. This interpretation is supported by the strain dependencies
we derive for the I-II-I and LH barrier heights, and the HH-LH splitti
ng in the quantum well. The combined effect of these quantities on the
peak voltages agrees qualitatively with the experimental data, when w
e assume that in the dots the relaxation is biaxial, while in the wire
s it is predominantly uniaxial. The interpretation is also consistent
with magnetotunneling-spectroscopy data, which reflect the in-plane an
isotropy of the LH quantum-well subband. We find for all dot diameters
a fourfold rotational symmetry of the shift of the LH resonance and f
or the wires a remarkable transition from a fourfold to a pronounced t
wofold rotational symmetry of this shift as the wire width decreases b
elow 900 nm. This transition is interpreted as evidence for the strong
influence of uniaxial relaxation on the in-plane dispersion.