the density mismatch between Si and SiO2 in the transition
region.
region near the SiO2–Si interface. This will lead to an excel-
lent size and position uniformity of the formed Sn nanocrys-
tals. The escape of Sn ions from the SiO2 layer into the
gaseous ambient may also occur in the thin SiO2 sample.
This lowers the Sn concentration near the surface of the SiO2
and contributes to maintaining the narrow ion distribution
during thermal annealing.
Another possible reason, which would lead to the size
uniformity of Sn nanocrystals, is that the compressive strain
that exists in the SiO2 near the SiO2–Si interface due to the
density mismatch may be reduced by the forming of Sn
nanocrystals in that region. An appropriate nanocrystal size
that minimizes the strain energy will then exist. This effect
will also be closely related to the distribution of Sn nano-
crystals. The lateral and depth positions of Sn nanocrystals
will be those that minimize the strain energy.
In summary, we developed a simple technique for fabri-
cating Sn nanocrystals in thin SiO2 layers using low-energy
ion implantation followed by thermal annealing. Sn nano-
crystals formed by this method have excellent size unifor-
mity and position controllability. Structures consisting of
metal nanocrystals in an extremely thin SiO2 layer offer the
possibility of developing new electronic devices such as
high-temperature single electron tunnel diodes. A high
throughput in fabricating nanoscale structures is another at-
tractive feature offered by using this technique.
To investigate the effect of the SiO2–Si interface on the
size and position distribution of Sn nanocrystals, we took a
cross-sectional TEM micrograph of a thick thermally grown
SiO2 sample ͑0.5 m͒ that was Sn implanted and subse-
quently annealed. The Sn implantation and annealing condi-
tions were the same as those for the thin SiO2 sample. A
trace of Sn dots can also be seen in the cross-sectional TEM
micrograph for the thick SiO2 sample. However, the size of
the Sn dots was much smaller ͑a typical diameter of 2 nm͒
and they were dispersed more along the depth direction
͑from about 10 nm to 50 nm from the surface͒ when com-
pared with those in the thin SiO2 sample. This dispersion, in
turn, indicates that the transfer of Sn ions from the SiO2 layer
to the Si substrate is suppressed in the thin SiO2 sample.
Several possible reasons can account for this suppres-
sion. One is that the diffusion of Sn ions is much faster in
SiO2 than in Si. Another is that the segregation coefficient m
of Sn is much smaller than unity, where m equals the impu-
rity equilibrium concentration in Si divided by that in SiO2.
A final reason is that the diffusion of Sn ions in the SiO2
layer near the SiO2–Si interface is much slower due to the
compressive strain in that region. Considering the gradual
decrease of Sn concentration with depth in the SiO2 layer
near the interface ͑Fig. 4͒, this last reason is the most plau-
sible since the former two reasons lead to an abrupt change
of Sn concentration at the SiO2–Si interface.
The authors thank Dr. Y. Tosaka for his helpful discus-
sions and Dr. T. Ito for his encouragement.
Also, in the cross-sectional TEM micrograph for the
thick SiO2 sample, no trace of Sn dots is observed in the
region from the surface to about 10 nm in depth. This sug-
gests that Sn ions are depleted in this region. This Sn deple-
tion is thought to be due to the escape of some Sn ions from
the SiO2 layer into ambient gas.
A number of comments can be made regarding the ex-
tremely narrow size and position distribution of Sn nano-
crystals in the thin SiO2 layer. It has been reported11 that the
diameter of Cu nanocrystals in SiO2 glass increases linearly
with the implanted Cu concentrations. Although subsequent
thermal annealing was not carried out in that report, the re-
sults suggest the strong correlation between nanocrystal size
and as-implanted ion concentration even when subsequent
annealing has been done. For thin SiO2 layers, a narrow as-
implanted ion distribution can be achieved with low-energy
ion implantation and maintained sufficiently during thermal
annealing due to the slow diffusion of Sn ions in the SiO2
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