RHEED oscillations for InAs morphology control
J.H.G.Owen, R.S.Ross, and J.J.Zinck
HRL Laboratories, 3011 Malibu Canyon Rd. Malibu, CA 90265, USA
Abstract
RHEED oscillation amplitude decay rates can be varied by control of the Gr. III, Gr. V flux or the sample temperature. Surface morphology of quenched samples has been compared to the RHEED oscillations, and consistent trends in sample morphology with growth parameters have been found. In the growth regime studied, the morphological changes were found to be dominated by the substrate step edges, and opposite trends in surface morphology with RHEED oscillation decay rates are postulated for singular and vicinal surfaces.
Introduction
During typical MBE layer-by-layer growth, the intensity of the specular
beam from a Reflection High Energy Electron Diffraction (RHEED) pattern
oscillates with a period of one monolayer. These oscillations decay, and
the RHEED intensity reaches a constant value after a certain number of
oscillations. We have been conducting a series of experiments, looking
at the decay rates of these oscillations as a function of growth rate,
substrate temperature and the ratio between the As and In fluxes (the
V/III ratio).
The purpose of these experiments is to find out what effect the various
'controls' available in an MBE system, i.e. flux and temperature, have
upon the decay constants of RHEED oscillations. This data can then be
used to validate the Kinetic Monte Carlo (KMC) models, aid in the
construction of control models, and allow us to optimise our growth
conditions.
Experimental details may be found below in Appendix
1.
Results
A typical RHEED oscillation is shown in Fig.1. The period of the oscillations is 4.5s, giving a growth rate of 0.22 ML/s. The RHEED oscillations decay, and the maxima and minima of the curve may be fitted to an exponential decay, as shown by the red lines. These give us two parameters: tmax and tmin.

Fig.2a is typical of growth in the As-rich regime, with relatively large decay constants tmax =16 ML and tmin =18 ML. Under As-deficient conditions, the surface will undergo a transition from (2x4) to (4x2), which has a very distinctive RHEED signature (Fig.2b). At the beginning, the growth proceeds as normal, but the oscillations damp very quickly, and there is a general upward shift in specular intensity as the surface reconstruction becomes (4x2). As a result of the shift in the average specular intensity tmax drops sharply, and tmin increases.


The trends of tmax and tmin with substrate temperature and with the In flux (i.e. the growth rate) have been studied in order to compare with the KMC simulations. These are varied by varying D/F in the simulations, where D is the diffusion rate (controlled by T), and F, the In flux. In all cases, we find that by increasing D/F, we decrease the number of oscillations observed, and hence decrease the values of t max and tmin. The effect of the substrate temperature is seen in Fig.3.

Moreover, the effect of the As flux is to reduce the decay constants, equivalent to increasing D/F. This is contrary to conventional wisdom, which holds that excess As increases the roughness of the surface. The flux trends may be seen in Fig. 4. The top left chart shows the range of III and V fluxes used, and the three graphs correspond to the arrows, with the direction of the arrows showing the direction of larger decay constants. Either the Group III or Group V fluxes may be varied, while holding the other constant, or else both may be varied so that the ratio remains constant.

The change in decay constants is having a large effect on the surface morphology, in agreement with the trends seen in RHEED. Large values of tmax and tmin corresponds to small islands, and relatively inactive steps. Small values of tmax and tmin corresponds to a surface closer to step flow mode. STM images taken at three different Group III and V fluxes are seen in Fig. 5.

Conclusions

We explain the trends in terms of a novel growth model, shown schematically in Fig.6. The pre-existing steps on the wafer are quite straight, but as growth proceeds, and the step moves forward, it merges with islands, and so a rough step is formed. The rough step then reduces the area where islands will nucleate (since more of the terrace is close to a step edge, until ultimately, the steps are so rough that no islands nucleate, and the surface is in a step-flow mode. Thus the oscillations die out, without multilayer roughness being induced.
Appendix 1
An EPI MBE chamber was used in these experiments. The As source is an
SVT valved cracker, enabling the As flux to be varied continuously, as
well as shuttered on and off. 0.1 mm InAs wafers are used for the
substrate with a nominal miscut of 0.1 degrees. A 1000 nm buffer layer is grown
to ensure a smooth initial surface and a sharp RHEED pattern confirmed
before experiments begin. The RHEED pattern is captured using a CCD
camera connected to a PC and the intensity of the specular beam (and
other beams) is selected out and measured in real time (at about 10fps)
using a homebuilt program. Typical growth conditions are 450-500 C and
0.2-1.2 ML/s. V/III ratios range from 0.9:1 to 4:1. The In flux is
measured from the period of the RHEED oscillations, and the As flux is
meaured by the method of uptake oscillations.
To obtain uptake
oscillations, a large amount of In (5-10 ML) is deposited onto the
surface with the As shutter closed. This In forms into small droplets.
When the In shutter is closed, and the As shutter reopened, the In
droplets are consumed by the As, with the As flux rate-limiting, and
thus oscillations in the RHEED intensity are obtained which are a
measure of the As incorporation rate under those conditions. These
oscillations are often weak, as the process of In deposition roughens
the surface, and in our system only 3-4 are obtained before the
amplitude dies away, so the statistical error is larger than for In
oscillations. The error is largest with large As flux measurements
(shortest period), which corresponds to a large V/III ratio, where
fortunately accuracy is not so important.