Raja Sekhar Reddy Gajjela1, Elisa Maddalena Sala2,3, Jon Heffernan2,3, Paul M Koenraad1. 1. Department of Applied Physics, Eindhoven University of Technology, Eindhoven 5612 AZ, The Netherlands. 2. EPSRC National Epitaxy Facility, The University of Sheffield, North Campus, Broad Lane, S3 7HQ Sheffield, United Kingdom. 3. Department of Electronic and Electrical Engineering, The University of Sheffield, Sir Frederick Mappin Building, Mappin Street, S1 3JD Sheffield, United Kingdom.
Abstract
We present a detailed atomic-resolution study of morphology and substrate etching mechanism in InAs/InP droplet epitaxy quantum dots (QDs) grown by metal-organic vapor phase epitaxy via cross-sectional scanning tunneling microscopy (X-STM). Two different etching processes are observed depending on the crystallization temperature: local drilling and long-range etching. In local drilling occurring at temperatures of ≤500 °C, the In droplet locally liquefies the InP underneath and the P atoms can easily diffuse out of the droplet to the edges. During crystallization, the As atoms diffuse into the droplet and crystallize at the solid-liquid interface, forming an InAs etch pit underneath the QD. In long-range etching, occurring at higher temperatures of >500 °C, the InP layer is destabilized and the In atoms from the surroundings migrate toward the droplet. The P atoms can easily escape from the surface into the vacuum, forming trenches around the QD. We show for the first time the formation of trenches and long-range etching in InAs/InP QDs with atomic resolution. Both etching processes can be suppressed by growing a thin layer of InGaAs prior to the droplet deposition. The QD composition is estimated by finite element modeling in combination with X-STM. The change in the morphology of QDs due to etching can strongly influence the fine structure splitting. Therefore, the current atomic-resolution study sheds light on the morphology and etching behavior as a function of crystallization temperature and provides a valuable insight into the formation of InAs/InP droplet epitaxy QDs which have potential applications in quantum information technologies.
We present a detailed atomic-resolution study of morphology and substrate etching mechanism in InAs/InP droplet epitaxy quantum dots (QDs) grown by metal-organic vapor phase epitaxy via cross-sectional scanning tunneling microscopy (X-STM). Two different etching processes are observed depending on the crystallization temperature: local drilling and long-range etching. In local drilling occurring at temperatures of ≤500 °C, the In droplet locally liquefies the InP underneath and the P atoms can easily diffuse out of the droplet to the edges. During crystallization, the As atoms diffuse into the droplet and crystallize at the solid-liquid interface, forming an InAs etch pit underneath the QD. In long-range etching, occurring at higher temperatures of >500 °C, the InP layer is destabilized and the In atoms from the surroundings migrate toward the droplet. The P atoms can easily escape from the surface into the vacuum, forming trenches around the QD. We show for the first time the formation of trenches and long-range etching in InAs/InP QDs with atomic resolution. Both etching processes can be suppressed by growing a thin layer of InGaAs prior to the droplet deposition. The QD composition is estimated by finite element modeling in combination with X-STM. The change in the morphology of QDs due to etching can strongly influence the fine structure splitting. Therefore, the current atomic-resolution study sheds light on the morphology and etching behavior as a function of crystallization temperature and provides a valuable insight into the formation of InAs/InP droplet epitaxy QDs which have potential applications in quantum information technologies.
Semiconductor
quantum dots (QDs) have been extensively studied
in the past two decades and optimized for a wide range of applications
such as QD lasers,[1−3] photovoltaics,[4,5] single photon emitters,[6−10] flash memories,[11,12] and quantum communication and
information technologies.[13−15] The well-established Stranski–Krastanov
(SK) growth of III–V semiconductor QDs has certain limitations
such as the requirement for lattice-mismatched materials, limited
control over QD growth, QDs sitting on top of a two-dimensional (2D)
wetting layer (WL), and extension of QDs in one of the crystal directions.
Droplet epitaxy (DE) developed by Koguchi et al.,[16] where group III and V fluxes are introduced separately
into the growth chamber, offers more degrees of freedom than SK growth
to control the QD growth. In DE, controlling the droplet formation
offers precise tuning of QD size and areal density. The final shape
of the QDs strongly depends on the surface reconstruction, the group
V flux, and the crystallization temperature.[17,18] Moreover, metal–organic vapor phase epitaxy (MOVPE) growth
of such QDs enables the large-scale fabrication of high-quality QDs
for applications in the telecom C-band.InAs/InP self-assembled
QDs grown via DE by MOVPE emitting at ∼1.55
μm have shown 4 times lower fine structure splitting (FSS) and
superior coherence in emission compared to SK grown InAs/InP QDs.[19,20] DE can also be used to establish local droplet etching (LDE) of
the substrate by the metal droplets which can subsequently be used
to create preferential nucleation sites for the QDs.[21,22] Growing InAs/InP in LDE mode offers more advantages in obtaining
QDs with reduced shape asymmetry and smaller FSS.[23,24] LDE of GaAs/AlGaAs QDs has been extensively studied where the surface
etching is performed with aluminum droplets and the etched holes are
filled with GaAs followed by AlGaAs capping.[25−27] Recently, Sala
et al.[22] has shown the formation of InAs/InP
DEQDs in locally etched pits depending on the crystallization temperature,
where the QDs appeared to sit at the center of the etched region.
However, the research on the droplet etching mechanism in InAs/InP
QDs is limited, and understanding the droplet etching is essential
for further optimization of the QD growth. In this work, we address
the formation of QDs and the etching mechanism as a function of crystallization
temperature with atomic resolution.Cross-sectional scanning
tunneling microscopy (X-STM) is a unique
technique that can provide detailed atomic-scale characterization
of the embedded QDs, revealing alloying around the QDs due to QDs
apex leveling, alloy intermixing in the QDs, segregation, etc.[28−33] In a previous article, we showed for the first time the presence
of localized InAs etch pits in InAs/InP DEQDs with atomic resolution,
where the etch pits are formed due to the local liquefaction of the
substrate by the In droplet, followed by crystallization in the As-rich
environment.[34] In this article, we study
the mechanism of substrate etching when tuning the crystallization
temperature of the indium droplets with atomic resolution by X-STM.
We present a detailed morphological and compositional analysis of
the DEQDs crystallized at 480 and 520 °C. We observed two types
of etching processes as a function of crystallization temperature,
which we name “local drilling” and “long-range
etching”. Local drilling of the In droplet into the InP substrate
occurs at lower crystallization temperatures, i.e., 480 °C. At
higher temperatures of >500 °C, after the droplet deposition
the whole surface destabilizes and the In droplet acts as a sink pulling
indium from the sides, thus forming trenches on all sides of the QDs.
The etching around the QD appeared to increase with the increasing
crystallization temperature.[22] Here, we
discuss the mechanism of such trench formation for the first time
with atomic resolution. We show that both etching processes can be
suppressed by growing a thin InGaAs interlayer prior to the droplet
deposition as suggested by Sala et al.[35] QDs crystallized at 520 °C have lower size inhomogeneity compared
to QDs crystallized at 480 °C. We note that, in our previous
work,[34] the indium droplets were formed
at 400 °C and the crystallization temperature was up to 500 °C.
In this work, we modified the growth conditions to assess the effect
of growth conditions on QD morphology and substrate etching. Therefore,
the current work is one step forward in the growth optimization process.
Results and Discussion
We measured two samples with
InAs/InP DEQDs, where sample A had
two layers of QDs crystallized at 480 (layer A1) and 520 °C (layer
A2). In sample B, the QDs were grown on top of a 5 nm InGaAs layer
instead of InP and crystallized at 520 °C. Additional measurements
are performed on samples similar to sample B by changing the crystallization
temperature to 480 °C and the thickness of the InGaAs layer to
1 nm. A detailed growth description can be found in section .
Morphology
of the QDs
In Figure , we present topographic
filled-state X-STM images of DEQDs in both layers A1 (parts a and
b) and A2 (parts c and d), measured with tunnel conditions: a sample
bias voltage (Vb) of −3.0 V and
a tunnel current set point (It) of 50
pA. The relative height of the X-STM tip from the cleaved surface
generates the contrast in the images. The InAs QDs which are compressively
strained with InP relax outward immediately upon cleaving, and this
outward relaxation strongly depends on QD size and composition. In
our case, the dark to bright contrast represents a height difference
of ∼0.25–0.30 nm. The electronic contribution to the
X-STM images was suppressed by performing filled-state imaging at
a higher negative bias voltage (sample bias with respect to the tip)
obtaining a pure structural contrast.[36,37] In Figure a,b, one can notice
the near dome shape of the QDs in layer A1 (parts a and b) with heights
of 9.7 ± 0.5 nm for Figure a and 8.2 ± 0.5 nm for Figure b with base lengths of 50.28 ± 0.8 nm
for Figure a and 55.00
± 0.8 nm for Figure b. On the other hand, the QDs in layer A2 (Figure c,d) have a perfect trapezoidal
shape in the cross section (truncated pyramid in 3D) with heights
of 6.1 ± 0.5 nm for Figure c and 6.4 ± 0.5 nm for Figure d with base lengths of 43.28 ± 0.8 nm
for Figure c and 51.20
± 0.8 nm for Figure d. It is important to point out that all the QDs in layer
A1 observed in the X-STM measurement are very similar in shape to
the QDs shown in Figure a,b and all the QDs in layer A2 are almost identical to the QDs shown
in Figure c,d in both
size and shape. AFM analysis of QDs grown under identical growth conditions[22] showed that the QDs have similar sizes in both
directions ([110] and [11̅0]), compared to standard InAs/InP
SKQDs[19] which usually extend in one of
the {110} crystal directions. The symmetry in QD size and shape is
crucial for optoelectronic applications as it strongly affects the
QD FSS.
Figure 1
X-STM filled-state topographic images of InAs/InP DEQDs in layer
A1 (a, b) and layer A2 (c, d) taken at a bias voltage (Vb) = −3.0 V and tunnel current (It) = 50 pA. The dark to bright contrast indicates an outward
relaxation (∼0.25–0.30 nm) of the InAs QDs. The growth
direction [100] is indicated by the white arrow.
X-STM filled-state topographic images of InAs/InP DEQDs in layer
A1 (a, b) and layer A2 (c, d) taken at a bias voltage (Vb) = −3.0 V and tunnel current (It) = 50 pA. The dark to bright contrast indicates an outward
relaxation (∼0.25–0.30 nm) of the InAs QDs. The growth
direction [100] is indicated by the white arrow.It is obvious that we observe the biggest QD when the cleaving
plane runs through the middle of the QD. By default, the cleaving
process is completely random, meaning that the cleaving plane does
not run through the middle of each and every QD. Hence, we observe
different heights and base lengths in the cross-section images based
on cleaving position and we can utilize this data to estimate the
3D morphology of the QD with the help of a geometrical model first
proposed by Bruls et al.[30,38] In Figure , we provide the height versus
base length data of all 30 QDs in layer A1 (Figure a) and 38 QDs in layer A2 (Figure b) measured from all X-STM
images. The height versus base length data of QDs in layer A1 (Figure a) appear to be scattered,
and it is difficult to extract any reliable arguments about the 3D
shape and size of the QDs. The scattering of the data could be due
to the shape of the QD as it is close to a dome rather than a trapezium.
On the other hand, there is a clear trend for QDs in layer A2: a linear
increase in height with base length and the height saturated at 6.5
± 1.0 nm as shown in Figure b. This relation corresponds very well with model 2
(square-based truncated pyramid QD) from Bruls et al.,[30,38] meaning that the cleaving plane is parallel to the diagonal of the
near square-based pyramid. Therefore, the base length reported in Figure b is times
higher than the actual base length.
In Figure c, we observe
a clear linear dependence of top length as a function of base length
of the QDs in layer A2, providing additional confirmation that the
cleaving plane is parallel to the diagonal of the square-based QD
as shown in the top left corner of Figure c. The density of QDs is lower in layer A1
than in A2, and also the size inhomogeneity is higher in A1 than in
A2. The height distribution of QDs in both layers A1 and A2 is shown
in Figure d; the QDs
in layer A1 have a larger distribution of heights than the QDs in
layer A2. This provides additional confirmation that the QDs in layer
A2 are more size homogeneous, especially in height, than the QDs in
layer 1.
Figure 2
Height versus base length of DEQDs in layer A1 (a) and layer A2
(b) and top length versus base length of DEQDs in layer A2 (c) measured
from the filled-state X-STM images with a linear fit in blue. The
most likely shape of the DEQDs in layer A2 is shown at the top left
corner of (c) with a cleaving plane in red. The height distribution
of DEQDs in layers A1 and A2 is given in (d).
Height versus base length of DEQDs in layer A1 (a) and layer A2
(b) and top length versus base length of DEQDs in layer A2 (c) measured
from the filled-state X-STM images with a linear fit in blue. The
most likely shape of the DEQDs in layer A2 is shown at the top left
corner of (c) with a cleaving plane in red. The height distribution
of DEQDs in layers A1 and A2 is given in (d).The DEQDs in layer A1 (Figure a,b) appear to be near dome shaped with a small top
facet. The slope of the side facet changed with the increasing height
of the QD. On the other hand, QDs in layer A2 (Figure c,d) are perfectly trapezium-shaped (truncated
pyramids in 3D) with a flat and long top facet and reduced height
compared to QDs in layer A1. This is due to the fact that QDs in layer
A2 were capped at higher temperature (520 °C), and it is well-known
that the high-temperature capping induces the leveling of QDs due
to the increased mass transfer from the QD apex to the sides.[39−41] Two distinct features can be observed in Figure : (1) a small etch pit of nearly pure InAs
is visible underneath the QD in Figure a; (2) the QDs in layer A2 (Figure c,d) appeared to be elevated compared to
the wetting layer due to the formation of trenches around the QDs.
The two features are a direct result of the change in the substrate
etching mechanism due to the increased crystallization temperature
from layer A1 (480 °C) to layer A2 (520 °C) and are explained
in detail in section .
Etching Mechanism
The droplet etching
of the substrate is a complex phenomenon mainly involving dissolution
and mass transport of the substrate chemical species (In and P atoms).
The droplet etching was initially observed during the growth of GaAs/AlGaAs
DEQDs in molecular beam epitaxy (MBE), where the local etch pit formation
(local etching) was studied thoroughly.[21,25,26,42,43] However, the research on In droplet etching in InP and in MOVPE
is very limited, and in our previous work,[34] we showed the presence of localized InAs etch pits underneath the
QDs for the first time in InAs/InP DEQDs with atomic resolution. The
etch pit formation strongly depends on growth conditions and reaction
kinetics during the droplet formation and crystallization. As mentioned
before, two different etching mechanisms are observed in InAs/InP
droplet epitaxy as a function of crystallization temperature, which
we name as local drilling for crystallization temperatures of ≤500
°C occurring underneath the droplet and long-range etching around
the droplet due to the surface destabilization of InP for crystallization
temperatures of >500 °C. From AFM analysis it appeared that
the
etching around the dot increases with the increasing crystallization
temperature due to the increased atomic migration and desorption.[22]The two etching mechanisms are schematically
shown in Figure along
with X-STM filled-state topographic images. In both cases, the process
starts with an In droplet deposition on the InP layer. Local drilling
is dominant for temperatures of ≤500 °C; below this growth
temperature both the InP and liquid In are stable phases.[44] The local liquefaction of InP below the In droplet,
dissolution, and the solid solubility of individual elements determine
the extent of droplet etching also known as local drilling of the
substrate. The P atoms can easily diffuse out of the droplet, and
subsequently, during the crystallization, the As atoms diffuse into
the droplet crystallizing at the liquid–solid interface and
leading to the formation of a nearly pure InAs etch pit as shown schematically
and with atomic resolution in Figure . In the current study, we found that the etch pit
size is nearly uniform everywhere ∼3 bilayers (BLs) deep into
the substrate and almost two-thirds of the QDs found during the X-STM
experiment are without a localized etch pit as shown in the X-STM
image in Figure a.
In our previous work, we presented a detailed atomic-scale study on
the formation of InAs etch pits;[34] we observed
varied etch pit sizes arbitrarily positioned underneath almost every
single QD observed in X-STM.
Figure 3
Schematic explanations of two different etching
processes: local
drilling and long-range etching. Initially In droplets are formed
on the InP surface. In local drilling, the etching starts with local
liquefaction of InP underneath the droplet followed by etch pit formation
during the crystallization. In long-range etching, the InP surface
is destabilized at high temperature and the trenches are formed due
to the In migration toward the droplet, while the P atoms escape back
into the chamber as shown in the figure. The blue circles are In atoms,
the orange circles are P atoms, the green circles are As atoms, and
the pink line represents the etching. X-STM filled-state topographic
images of InAs/InP DEQDs taken at Vb =
−3.0 V and It = 50 pA shown for
layer A1 with a local etch pit and for layer A2 with trenches around
the QD.
Figure 4
X-STM filled-state topographic images of InAs/InP
DEQDs taken at Vb = −3.0 V and It = 50 pA. The 200 nm long images of both layer
A1 (a) and
layer A2 (b) clearly shows the effect of long-range etching. The growth
direction [100] is indicated by the white arrow.
Schematic explanations of two different etching
processes: local
drilling and long-range etching. Initially In droplets are formed
on the InP surface. In local drilling, the etching starts with local
liquefaction of InP underneath the droplet followed by etch pit formation
during the crystallization. In long-range etching, the InP surface
is destabilized at high temperature and the trenches are formed due
to the In migration toward the droplet, while the P atoms escape back
into the chamber as shown in the figure. The blue circles are In atoms,
the orange circles are P atoms, the green circles are As atoms, and
the pink line represents the etching. X-STM filled-state topographic
images of InAs/InP DEQDs taken at Vb =
−3.0 V and It = 50 pA shown for
layer A1 with a local etch pit and for layer A2 with trenches around
the QD.X-STM filled-state topographic images of InAs/InP
DEQDs taken at Vb = −3.0 V and It = 50 pA. The 200 nm long images of both layer
A1 (a) and
layer A2 (b) clearly shows the effect of long-range etching. The growth
direction [100] is indicated by the white arrow.Sala et al.[22] published the AFM analysis
of identical QDs and revealed the formation of a crater around the
QDs at higher temperatures. The size of this crater increased with
increasing crystallization temperature. The growth surface is In-rich,
and it is likely that, at high temperatures (>500 °C), the
InP
becomes unstable and dissociates into elemental In and P atoms. During
the crystallization of the QDs, multiple processes are taking place
at once, such as destabilization of InP, As–P surface exchange,
strain-driven migration of indium toward the droplet, and phosphorus
atoms escaping back into the chamber[45−48] as shown in Figure . From AFM analysis, it appeared
that the size of the droplet increased with the crystallization temperature
as the In atoms from all sides of the droplet migrate toward the droplet,
increasing the total In content.[22] The
droplet size decreased for temperatures above 520 °C, suggesting
the desorption of In from the growth surface back into the chamber
leading to smaller droplets.[22] The surface
destabilization and the elemental migration are the major processes
driving the formation of trenches around the QD as shown schematically
and with atomic resolution in Figure .The long-range etching is clearly visible in Figure b with the QD base
exactly in line with the
2D quasi-WL far from the QD, and the trenches around the QD are almost
4–5 BLs deep into the underlying InP. A similar etching profile
was reported by Holewa et al.[49] for QDs
crystallized at 550 °C due to the In diffusion from the droplet
neighborhood toward the droplet. Holewa et al.[49] reported a concave base for the QDs based on TEM analysis,
but we show an atomically flat base for our QDs as shown in Figure b. The formation
of these trenches was first predicted by Yoon et al.,[46] and in this work, we proved the formation of such trenches
which can be controlled by the crystallization temperature with atomic
resolution X-STM images. The crystallization time for QDs in both
layers A1 and A2 is constant, meaning that the temperature ramp rate
is higher for layer A2 compared to layer A1. In addition to trench
formation, we found that a few QDs in layer A2 have a trace of localized
etch pit with a thickness of maximum 1 BL. The temperature ramp rate
and indium mobility are the deciding factors for the etching mechanism.
At a higher temperature ramp rate the local liquefaction is greatly
suppressed. In general, it is well-established that 30–40 nm
spacer thickness is enough to decouple two InAs QD layers grown on
top of each other on a GaAs substrate (7.1% lattice mismatch).[50] In the X-STM experiments, there is no indication
of any strain effect of layer A1 on layer A2 as the two layers are
separated by an 80 nm thick InP layer. Also, the total strain in the
system (InAs/InP) is lower due to the reduced lower lattice mismatch
of 3% compared to InAs/GaAs, where the lattice mismatch is 7.1%. On
top of that, we have additional confirmation from finite element (FE)
simulations on InAs/InP QDs where the two QD layers are separated
by 80 nm thick InP and we observed no strain influence of the bottom
layer on the top one. Therefore, we can confidently assert that the
changes in the QD morphology and etching mechanism are totally dependent
on the crystallization temperature.We also investigated a method
to suppress both etching processes,
local drilling and long-range etching, by growing a thin InGaAs layer
on InP prior to the droplet deposition. The major driving forces for
the droplet etching are surface liquefaction, destabilization, and
elemental migration. Thus, by forming droplets on a thin InGaAs layer,
we can suppress all of these effects. The surface As–P exchange
strongly influences the QD morphology, and in the past, a lattice-matched
InGaAs layer was used mainly to suppress the surface As–P exchange.[35,46,47,51] The filled-state topographic images in Figure show the size and shape of InAs DEQDs formed
on top of a 5 nm InGaAs layer. The DEQDs are truncated pyramid shaped
with observable contrast fluctuations within the QD. We note that
the QDs grown on InP (Figure ) have uniform contrast with minor intermixing close to the
edges. Therefore, the QDs grown on InGaAs are not as pure as the ones
grown on InP. We studied many topographic images, and we conclude
that the local drilling effect is absent in all the DEQDs in sample
B. From the 200 nm long image shown in Figure a, it is evident that the long-range-etching
effect shown in Figure b is also suppressed, as expected from previous AFM and TEM investigations.[35] Yoon et al.[46] suggested
that this is a result of the change in the growth kinetics from the
mass-transport regime on InP to the surface-reaction-limited regime
on InGaAs. We analyzed the QDs grown on InGaAs, crystallized at both
480 and 520 °C, and observed that both etching effects are absent.
We performed additional experiments by changing the thickness of the
InGaAs layer from 5 to 1 nm and observed the same result. These additional
X-STM images are shown in section SII of the Supporting Information. Thus, we prove that using a thin InGaAs layer
suppresses both etching processes, i.e., local drilling and long-range
etching.
Figure 5
X-STM filled-state topographic images of InAs/InP DEQDs with a
5 nm InGaAs interlayer taken at Vb = −3.0
V and It = 50 pA. Both the local drilling
and long-range etching effects are suppressed by introducing an InGaAs
layer before droplet deposition. The 200 nm long image in (a) shows
that the long-range etching and trench formation is absent. High-resolution
images in (b) and (c) show the absence of localized etch pit and also
contrast fluctuations within the QD. The growth direction [100] is
indicated by the white arrow.
X-STM filled-state topographic images of InAs/InP DEQDs with a
5 nm InGaAs interlayer taken at Vb = −3.0
V and It = 50 pA. Both the local drilling
and long-range etching effects are suppressed by introducing an InGaAs
layer before droplet deposition. The 200 nm long image in (a) shows
that the long-range etching and trench formation is absent. High-resolution
images in (b) and (c) show the absence of localized etch pit and also
contrast fluctuations within the QD. The growth direction [100] is
indicated by the white arrow.
Composition of the QDs
The compositional
fluctuations within the QDs result in a nonuniform contrast in X-STM
images as the STM tip is sensitive to the local compositional changes.[36] In the X-STM filled-state images (Figure ), we observe a uniform contrast
throughout the QDs, suggesting that the QDs are pure InAs in composition.
Minor alloy fluctuations due to P intermixing can be seen close to
the QD edges. Holewa et al.[49] suggested
a composition of InAs0.8P0.2 for the DEQDs crystallized
and annealed at 550 °C based on TEM, energy dispersive X-ray
spectroscopy (EDX), and photoluminescence measurements. However, our
DEQDs crystallized at both 480 and 520 °C have pure InAs without
any trace of P atoms within the QDs. This difference can be explained
by the fact that at temperatures higher than 540 °C the As substitution
for P atoms is higher,[52] thus leading to
greater As–P exchange reactions during the crystallization
step and increased incorporation of P atoms into the QDs studied in
Holewa et al.[49] The compositional uniformity
can be seen more clearly in the X-STM current images (shown in section
SI of the Supporting Information) of the
QDs shown in Figure . It is easy to identify alloy fluctuations in the current images
due to the abrupt change in the current response of the STM tip due
to compositional fluctuations and also the suppressed topographic
contrast, meaning that a pure QD (e.g., InAs) has uniform contrast
in the current image. In addition, we performed FE simulations to
calculate the local lattice constant of the cleaved QD and compared
them with experimental values obtained from X-STM to provide an approximate
composition of the QDs. A reliable 3D model was constructed based
on the structural analysis performed by X-STM for layer A2. As mentioned
before, the height versus base length data of QDs in layer A1 is scattered
and it is difficult to construct a reliable model for FE simulation. Figure shows the local
lattice constant profile of a cleaved QD from layer A2; the X-STM
experimental profile is given in black and the calculated profile
from the FE simulation is given in red. A detailed introduction to
FE simulations and the geometry of the model are provided in section
SIII of the Supporting Information. The
calculated local lattice constant differs by 10–20 pm compared
to the experimental values. In general, corrugation of the cleaved
surface can alter the experimental profiles on the order of 50 pm;[53,54] therefore, the 10–20 pm difference is within the acceptable
error range. The difference might also arise from the approximations
made for the FE simulations such as the QDs are square-based truncated
pyramids, but in reality, the shape could deviate from this approximation,
the cleaving position might be off-centered, etc. The peak values
of both experimental and calculated lattice constant profiles match
well within the acceptable error range. Even though the same analysis
was not provided for layer A1, by comparing both X-STM topographic
and current images, it is safe to assume that QDs in layer A1 are
also nearly pure InAs in composition. Thus, by combining X-STM filled-state
topographic, current images, and FE simulations, it is clear that
the DEQDs in both layers A1 and A2 have pure InAs composition with
tiny intermixing close to the QD edges.
Figure 6
Local lattice constant
profile (a) of the cleaved QD (inset X-STM
image with red arrowheads indicating the position where the profile
was taken) from layer A2 along the growth direction [100]. Experimental
profiles measured from X-STM images are given in black, and the calculated
profiles from FE simulations are given in red. The arrow indicates
the growth direction [100].
Local lattice constant
profile (a) of the cleaved QD (inset X-STM
image with red arrowheads indicating the position where the profile
was taken) from layer A2 along the growth direction [100]. Experimental
profiles measured from X-STM images are given in black, and the calculated
profiles from FE simulations are given in red. The arrow indicates
the growth direction [100].
Differences in Wetting Layer
In conventional
SK mode, the QD growth begins with the formation of a WL and, after
a critical thickness is reached, the 3D islands are formed as a part
of the strain relaxation of the WL. Therefore, the WL is unavoidable
in SK growth while there is no such requirement in DE growth, yet
we observed a partial WL or quasi-WL as shown in Figure . The growth surface is In-rich
during the droplet deposition, and it is well-known that As replaces
P at the growth front leading to the formation of a thin InAs(P) layer.[22,45]Figure a shows the
topography of a thin quasi-WL in layer A1 where the QDs are crystallized
at 480 °C; it is clear that the WL is a discontinuous layer of
InAs(P) with As-rich (arrowhead 1) and As-poor (arrowhead 2) regions.
Similar quasi-WL formation can be seen in Figure b for layer A2 where the QDs are crystallized
at 520 °C. A high As concentration can be seen in the first 1–2
BLs (indicated with a black arrow in Figure b) due to the surface As–P exchange
during the crystallization of the droplets. Additionally, a dilute
InAs(P) layer with a thickness of almost 30 BLs (curly bracket in Figure b) formed due to
the segregation of As from the WL into the capping layer as a result
of higher crystallization temperature. This partial WL formation,
i.e., the first 1–2 BLs in both layers A1 and A2, is comparable
to the formation of indium-rich clusters during the growth of submonolayer
QDs where the QDs are formed by stacking ML high islands.[55,56] In the DE growth, the leftover indium on the growth surface from
the droplet deposition reacts with the fresh As arriving on the surface
forming such InAs-rich regions. In addition, the As–P surface
exchange assists in the formation of a discontinuous layer of InAs(P).
Holewa et al.[49] suggested a 3 MLs thick
InAs0.5P0.5 and 15 nm thick InAs0.2P0.8 cloud layer formed at 550 °C. As shown in Figure a, there is no such
uniform InAs(P) cloud layer formation in layer A1, while in layer
A2 (Figure b) and
sample B (Figure c)
we observe a nonuniform dilute InAs(P) layer formed purely due to
As segregation with an exponential decay in As concentration. Apparently,
the higher crystallization temperature used by Holewa et al.[49] led to a thicker layer due to an increased temperature-driven
As–P exchange reaction and strain-driven intermixing of the
QD. The quasi-WL (first 1–2 BLs) is formed due to the As–P
exchange, while the dilute InAs(P) layer is formed due to As segregation
into the capping layer. The AsH3 fllux, substrate temperature,
and crystallization time[34] determine the
thickness and composition of the dilute InAs(P) layer. In Figure c, we show the topography
of the 5 nm thick InGaAs layer in sample B. It is difficult to differentiate
the quasi-WL (first 1–2 BLs) on top of the InGaAs layer, but
we observe a dilute InAs(P) layer in the capping region with a similar
As concentration as in layer A2 due to the segregation of As atoms
in the growth direction. The insertion of the InGaAs layer prior to
the indium droplet deposition significantly reduces the As–P
surface exchange and modifies the surface adatom mobility compared
to InP, as also pointed out by Sala et al.[35] Therefore, insertion of a thin InGaAs layer is an efficient method
to suppress the substrate etching and reduce the surface As–P
exchange in InAs/InP DEQDs.
Figure 7
X-STM filled-state topographic images of the
wetting layers in
layers A1 (a) and A2 (b) in comparison with the WL from sample B (c)
on top of a 5 nm InGaAs layer taken at Vb = −3.0 V and It = 50 pA. The
red arrowheads (1, 2, and 3) indicate the positions where the STM
height profiles are taken for Figure a. The growth direction [100] is indicated by the white
arrows.
X-STM filled-state topographic images of the
wetting layers in
layers A1 (a) and A2 (b) in comparison with the WL from sample B (c)
on top of a 5 nm InGaAs layer taken at Vb = −3.0 V and It = 50 pA. The
red arrowheads (1, 2, and 3) indicate the positions where the STM
height profiles are taken for Figure a. The growth direction [100] is indicated by the white
arrows.
Figure 8
(a) STM height
profiles of WLs in layer A1 (As-rich, 1; As-poor,
2) and layer A2 (3) taken along the growth direction [100]. The red
arrowheads in Figure a,b indicate the area where the profiles are taken. The total numbers
of As atoms counted in each BL from the WL into the capping layer
for layer A1 (b), layer A2 (c), and sample B (d) are shown. (b) Leftover
As from the crystallization step randomly incorporated into the capping
layer of layer A1. (c) As segregation profile showing a clear exponential
decay (red) due to the higher crystallization temperature can be seen
in layer A2. (d) A similar As segregation profile can be seen in the
capping layer of sample B showing an exponential decay (red) in the
growth direction [100]. The exponential decay equation was used to fit the segregation
profile,
where λ is the segregation length.
The compressively strained InAs(P)
layers relax outward upon cleaving
which can be measured from the X-STM height profiles. We show the
X-STM height profiles in Figure a, where profile 1 (arrowhead
1 in Figure a) taken
on the As-rich WL from layer A1 has the highest relaxation compared
to profile 2 on the As-poor WL (arrowhead 2 in Figure a) and profile 3 on the WL in layer A2 (arrowhead
3 in Figure b). The
effect of As segregation due to higher crystallization temperature
can be clearly seen in STM height profile 3 (blue) from layer A2.
The high-resolution images shown in Figure are filled-state topographic images (group
V sublattice) allowing us to count the individual As atoms in the
capping layer using the atom counting method explained in section
SIV of the Supporting Information. We note
that the atom counting method is efficient only in the case of low
concentrations as in the capping layer. At high concentrations, it
is difficult to differentiate individual As atoms. Figure b shows the total number of
As atoms in each BL from the WL into the capping layer in layer A1.
The leftover As in the growth chamber from the previous crystallization
step is randomly incorporated into the capping layer as seen in Figure b. The total number
of As atoms in each BL from the WL in layer A2 is given in Figure c with an exponential
decay fit (red). The exponential decay in the concentration is a typical
signature of segregation. This segregation of As atoms is due to the
increased crystallization temperature from layer A1 (480 °C)
to layer A2 (520 °C). A similar segregation profile can be seen
in sample B as shown in Figure d, where the crystallization temperature is the same as that
for layer A2. It appears to be a little weaker than that in Figure c, possibly due to
the fact that the total numbers of BLs counted are different for both
layers. The composition of the dilute InAs(P) layer is higher in sample
B, as the As concentration is averaged only for 18 BLs compared to
32 BLs in layer A2. By comparing parts b and c of Figure , it is evident that the segregation
of As atoms from the WL into the capping layer is strongly dependent
on the crystallization temperature in the InAs/InP DEQDs.(a) STM height
profiles of WLs in layer A1 (As-rich, 1; As-poor,
2) and layer A2 (3) taken along the growth direction [100]. The red
arrowheads in Figure a,b indicate the area where the profiles are taken. The total numbers
of As atoms counted in each BL from the WL into the capping layer
for layer A1 (b), layer A2 (c), and sample B (d) are shown. (b) Leftover
As from the crystallization step randomly incorporated into the capping
layer of layer A1. (c) As segregation profile showing a clear exponential
decay (red) due to the higher crystallization temperature can be seen
in layer A2. (d) A similar As segregation profile can be seen in the
capping layer of sample B showing an exponential decay (red) in the
growth direction [100]. The exponential decay equation was used to fit the segregation
profile,
where λ is the segregation length.
Conclusions
In summary, we presented a detailed
atomic-resolution study of
the morphology and substrate etching in the InAs/InP DEQDs grown by
MOVPE using X-STM. The QDs crystallized at higher temperatures (layer
A2) are much more size uniform than the QDs crystallized at a lower
temperature (layer A1). Additionally, QDs in layer A2 show a perfect
trapezoidal shape and are nearly InAs pure, suggesting a highly controllable
MOVPE growth process. Two different etching processes were observed
depending on the crystallization temperature: local drilling and long-range
etching. The latter was reported here for the first time with atomic
resolution. In local drilling, the droplet liquefies the InP underneath
and the P atoms can easily diffuse out of the droplet to the edges.
Later, during the crystallization step, the As atoms diffuse into
the droplet and crystallize at the solid–liquid interface forming
a nearly pure InAs etch pit underneath the QD. In long-range etching,
due to the higher crystallization temperature, the surface InP layer
is destabilized and the In atoms migrate into the droplet from the
surroundings while the P atoms easily escape back into the growth
chamber, forming trenches around the QD. We found that local drilling
is dominant for crystallization temperatures of ≤500 °C,
while long-range etching is dominant at temperatures of >500 °C.
Interestingly, both etching processes can be suppressed by forming
the droplets on a thin layer of InGaAs instead of InP. The presence
of the InGaAs layer also significantly reduces the As–P surface
exchange. Finally, we estimated the QD composition as pure InAs by
performing FE simulations and fitting the experimental local lattice
constant of the cleaved QD with the calculated lattice constant. Moreover,
by comparing our results with the study of Holewa et al.[49] on the same material system, we found that keeping
the crystallization temperature below 540 °C prevented the incorporation
of P atoms into the QDs, by suppressing As–P exchange reactions,
thus leading to the formation of pure InAs QDs. We also compared the
wetting layer formation on both InP and InGaAs layers, addressing
the segregation of As atoms into the capping layer forming a dilute
InAs(P) layer with an exponential decay in As concentration at 520
°C on both InP and InAs. Our atomic-resolution study sheds light
on the morphology and etching behavior of various InAs/InP DEQDs grown
by MOVPE. Thus, this work is a step forward in understanding the indium
droplet crystallization mechanism at different temperatures, and it
provides valuable feedback toward the large-scale fabrication of high-quality
InAs/InP DEQDs at the telecom C-band for quantum information technologies.
Materials and Methods
Two samples were grown on an n-doped InP (100) substrate in a 3
× 2 close coupled showerhead (CCS) Aixtron metal–organic
vapor phase epitaxy (MOVPE) reactor, using H2 as the carrier
gas. Sample A has two layers of QDs, where the In droplets are formed
at 320 °C followed by crystallization at 480 °C for layer
A1 and at 520 °C for layer A2 in an As-rich environment. Both
layers are separated by an 80 nm thick InP layer. In sample B, the
In droplets are deposited on top of a 5 nm InGaAs layer at a temperature
of 400 °C followed by crystallization at 480 and 520 °C
to observe the effects of the InGaAs layer on droplet formation, etching,
and evolution into a QD. Both samples are overgrown by 130 nm of InP
to cap the QDs. The metal–organic precursor trimethylindium
(TMIn) is used for In droplet deposition. Phosphine (PH3) and arsine (AsH3) were used to grow InP and droplet
crystallization, respectively. An indium flow of 20 sccm was supplied
for 35 s for indium droplet deposition in all the layers, and an arsenic
flow of 0.5 sccm was maintained during the whole crystallization process.
Detailed growth sequence, atomic force microscopy (AFM), and photoluminescence
(PL) measurements on identical QDs were reported by Sala et al.[22,35,57]The X-STM measurements
were performed in a conventional Omicron
low-temperature STM at 77 K under ultrahigh vacuum (UHV) with a base
pressure of (4–6) × 10–11 mbar. The
sample was cleaved in UHV to reveal one of the {110} natural cleaving
planes of zincblende crystal. Polycrystalline tungsten wires were
electrochemically etched to obtain STM tips followed by additional
baking and Ar sputtering inside the STM preparation chamber in UHV.
Detailed explanations of the X-STM technique and finite element simulations
were already reported in previous publications.[12,33,34]
Authors: Zhiliang Yuan; Beata E Kardynal; R Mark Stevenson; Andrew J Shields; Charlene J Lobo; Ken Cooper; Neil S Beattie; David A Ritchie; Michael Pepper Journal: Science Date: 2001-12-13 Impact factor: 47.728
Authors: J Martín-Sánchez; G Muñoz-Matutano; J Herranz; J Canet-Ferrer; B Alén; Y González; P Alonso-González; D Fuster; L González; J Martínez-Pastor; F Briones Journal: ACS Nano Date: 2009-06-23 Impact factor: 15.881
Authors: Raja S R Gajjela; Niels R S van Venrooij; Adonai R da Cruz; Joanna Skiba-Szymanska; R Mark Stevenson; Andrew J Shields; Craig E Pryor; Paul M Koenraad Journal: Nanotechnology Date: 2022-05-06 Impact factor: 3.874