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Surface spinodal decomposition in low temperature Al0.48In0.52As grown on InP(001) by molecular beam epitaxy

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Surface spinodal decomposition in low temperature Al0.48In0.52As grown on InP(001) by molecular beam

epitaxy

G. Grenet, Michel Gendry, M. Oustric, Y. Robach, L. Porte, G. Hollinger, O.

Marty, M. Pitaval, C. Priester

To cite this version:

G. Grenet, Michel Gendry, M. Oustric, Y. Robach, L. Porte, et al.. Surface spinodal decomposition

in low temperature Al0.48In0.52As grown on InP(001) by molecular beam epitaxy. Applied Surface

Science, Elsevier, 1998, 123, pp.324 - 328. �10.1016/S0169-4332(97)00522-9�. �hal-02194425�

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ELSEVIER Applied Surface Science 123/124 (1998) 324-328

Surface spinodal decomposition in low temperature Alo.48Ino.52As grown on InP(001) by molecular beam epitaxy

G. Grenet a. *, M. Gendry a, M. Oustric a, Y. Robach a, L. Porte a, G. Hollinger

O. Marty b, M. Pitaval b, C. Priester c

" Laboratoire d'Electronique, LEAME, UMR-CNRS 5512, Ecole Centrale de Lyon, F-69131 Ecully Cedex France b D~partement de Physique des Mat~riaux, Unicersit~ Claude Bernard, Lyon 1, t;'-69622 Villeurbanne Cedex, France

IEMN, Dpt ISEN. BP69, F-59652 Villeneut,e d'Ascq, France

a

Abstract

The clustering development for lattice-matched A104s ln0.52 As grown on (001) oriented InP substrates by molecular beam epitaxy (MBE) has been investigated by ex-situ transmission electron microscopy (TEM) and in-situ scanning tunnelling microscopy (STM). For a growth temperature of 450°C, a V / I I I beam equivalent pressure (BEP) ratio equal to 20 and a growth rate of 1 p,m h-~, the clusters are strongly anisotropic: typically, 2 nm along the [110] direction, 30 50 nm along the [1i0] direction and 20 nm along the [001] direction. We show theoretically that such a spinodal decomposition would be forbidden if the surface of the deposited film is perfectly flat. We also demonstrate that this decomposition appears to be possible if the surface roughness is sufficient to allow a partial elastic relaxation. © 1998 Elsevier Science B.V.

1. Introduction

The performance of devices for switching, mi- crowave and optical applications depends on the atomic perfection of the interfaces but also on the intrinsic quality of the involved materials. However, most of the III-V semiconductor alloys develop clustering during their growth by molecular beam epitaxy (MBE). Such a phase separation induces a broadening of the photoluminescence (PL) linewidth and a lowering of the electron mobility. Among III-V alloys, the All_~In.,As alloy, used as a large band gap compound in heterostructure systems on lnP, presents such a strong undesirable clustering behaviour [1]. Of fundamental importance in predict- ing such a deviation from randomness is the differ-

* Corresponding author.

ence in lattice parameter and elastic properties be- tween the two endpoint binary compounds [2-14].

However, the actual amount of clustering is also subjected to all the MBE growth parameters such as growth temperature, growth rate and V / I I I beam equivalent pressure (BEP) ratio because all these parameters influence the adatom mobility [15]. The present work reports both transmission electron mi- croscope (TEM) and in-situ scanning tunneling mi- croscope (STM) images with the aim of describing the clustering development for lattice-matched A10.48In0.5:As grown on (001) oriented InP substrate by molecular beam epitaxy (MBE).

2. Experimental

The growth of the A10.4sIn0.52As layers was per- formed in a Riber 2300 reactor on InP(001) epiready 0169-4332/98/$19.00 © 1998 Elsevier Science B.V. All rights reserved.

Pll S01 6 9 - 4 3 3 2 ( 9 7 ) 0 0 5 2 2 - 9

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G. Grenet et al. / Applied Surface Science 123 / 124 (I 998) 324-328 325 substrate from InPact. The surface reconstructions

were monitored by reflection high energy electron diffraction (RHEED). Since A l I n A s is very sensitive to oxygen, a careful deoxidation of the InP substrate was done previously to the growth via a progressive increase of the substrate temperature (50°C per rain) up to 565°C under 10 5 Torr o f As 4. At this temper- ature, the surface reconstruction of the arsenic treated InP surface changes from As-stabilized (2 × 4) to cation-stabilized (4 X 2). The InP lattice matching of A10.4sln0 52 As on InP(001) was checked by double X-ray diffraction (DDX). The transmission electron images were recorded at 200 kV using a T O P C O N EM-002B transmission electron microscope. To per- form the plane view, the sample was mechanically thinned down to 50 /xm and then chemically etched

using a bromine methanol solution. The electron transparency was obtained by ion milling using a Gatan model equipped with a nitrogen cold stage working under 3 kV and 0.5 m A per gun. The STM experiments were performed in a ultra-high vacuum chamber equipped with a Besocke Beetle scanning tunneling microscope and connected to the M B E chamber. The STM images were obtained with a tunnelling current of 0.5 nA and a tunnelling voltage of 2 V applied to the sample.

The phase separation appears to be strongly de- pendent on growth parameters [1]. It diminishes when the growth kinetic is limited by an increase of the V / I I I BEP ratio a n d / o r of the growth rate. W e have found that for a V / I I I BEP ratio equal to 20, and a growth rate equal to 1 p~m h I, the phase separation

T = 4 5 0 C T = 5 2 5 C

Fig. 1. Characteristic images of A1048In052As grown on InP(001) using a V/III BEP ratio equal to 20, and a growth rate equal to 1 /xm

h ~: (a) TEM plan view for the growth temperature T 450°C, (b) TEM plan view for the growth temperature T = 525°C, (c) STM image

for the growth temperature T = 450°C, and (d) STM image for the growth temperature T = 525°C.

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326 G. Grenet et al./Applied Surface Science 123/124 (1998) 324 328 increases versus the growth temperature to reach a

maximum for the range 400-450°C. It disappears for temperatures greater than 475°C. Fig. 1 shows four characteristic images of Al0.4s Inosz As on InP(001) acquired by TEM (Fig. l a and b) and by STM (Fig.

lc and d) for two growth temperatures, i.e., at 450°C (the temperature corresponding to the phase separa- tion maximum obtained by TEM) and at 525°C (a temperature corresponding to no phase separation by TEM). The TEM plan view for the sample grown at 450°C reveals a fine, quasi-periodic contrast elon- gated in the [110] direction, absent for the sample

grown at 525°C. Such a TEM contrast is interpreted in Fig. 2a as due to the elastic relaxation of strained clusters at the AlInAs surface. STM images for the sample grown at 450°C indicate a corrugation super- posed on the overall morphology, showing the same kind of anisotropy with approximately the same pe- riod as the corresponding TEM image. This undula- tion is schematised in Fig. 2b. For the sample grown at 525°C, such a corrugation is not observed in the STM image (Fig. ld), strengthening the result ob- tained by TEM.

Both the growth kinetic dependence and the ani-

a)

¢~ ,.m 0

dark

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P clear

I AI-rieh

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dark clear I dark In-rlch I Al-rich ]

y

.;.>T

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I

b)

~4am

/ ' "i/ ~L. 'I' ~"j ~I'-/I I'~.: I: II~.J I "II... : '~lj \../ i I

', '. ,.''..'' '," :,l .' '.. I i',

" '-' ' : ' . ' ' . . . . . .,

v ',: v ~.' t I.ML~O,3 n.rn

Y'~ ,'~ [',, :~,, .,".,, :.,

Fig. 2. Schematic representation of: (a) the consequence of a lateral composmon modulation on the TEM contrast via a surface elastic

relaxation, and (b) a STM profile from Fig. lc.

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G. Grenet et al. /Applied Surface Science 123 / 124 (1998) 324-328 327

sotropy of the clustering effect clearly indicate a phenomenon appearing on the growth front. For a growth temperature equal to 450°C, a V / I I I BEP ratio equal to 20 and a growth rate equal to 1 / , m h-~ (Fig. 1 a and c), typical cluster sizes are 2 nm in the [110] direction, 3 0 - 5 0 nm in the [ l i 0 ] direction and 20 nm in the [001] direction. Finally, it should be noted that, the surface roughness is much greater for A10.48In0.52 As (Fig. lc and d) than for any binary I I I - V compound grown using similar growth condi- tions.

3. Discussion

Numerous I I I - V semi-conductor ternary alloys may be considered as pseudo-binary compounds (AlxiCv) 1 ~ ( B m C v ) x with x ranging from 0 to 1.

In such alloys, the C v atoms occupy all the crystal- lographic sites of one of the face-centred sublattices of the zinc blende structure while the atoms A itl and B m are distributed on the second one with or with- out a deviation from the complete randomness. This deviation may take the form of a long range ordered phase a n d / o r of a clustered phase [8,9]. Both of them have been observed in I I I - V alloys, separately or together [16-18]. When the lattice parameters for the two endpoint binary compound A I I I C v and B~IIC v are different, all bondlengths and interbond angles in the alloy are distorted (except for x = 0 and x = 1, the two endpoint compositions) from equilibrium even if no extra-strain is applied via a substrate. Fig. 3 (curve A) shows the so-developed strain energy per unit cell U ( x ) evaluated for a true random alloy (AlAs) l_x(InAs)x versus x, using the Keatings model [4-6]. This excess of energy U(x),

alias the excess enthalpy of mixing ( A H ) m in a thermodynamic framework, may be approximated by

U(x)=x(1-x)a2, where ~Q is a constant called 'interaction parameter' estimated to 3600 cal m o l - for (AlAs) 1 x(InAs)~. Using the Gibbs alloy stability criterion 02U/Ox 2 < 0 (or equivalently, ~2 > 0), a s p i n o d a l d e c o m p o s i t i o n c a n o c c u r in (AlAs) E _x(InAs)~ for temperatures below the critical value T~ = ~Q/2R = 905 K, R being the gas con- s t a n t , l e a d i n g to t w o p h a s e s , v i z . , (AlAs) l __ ~_ ,.(InAs) X + ~ and (AlAs) 1 _., + ~.(InAs)~_ ,, with ~ > 0.

-"', c5 O

° , , , ~

O

c5

~ c 5

4" A%t.

g"

f "

f %%

°~ '"

I I I

0.25 0.50 0.75

.00 I n c o n c e n t r a t i o n

0.00

Fig. 3. Energy U(x) per deposited atom versus x for a free-sub- strate bulk (AlAs) I_ ~(InAs) x (curve A) and for a 20 monolayers perfectly flat film of (AlAs) I_x(InAs)~ on InP substrate (curve B).

If we now consider such a composition fluctua-

tion around the lattice-matching composition x =

0.523 given by the V e g a r d ' s law for an

(AlAs) I x(InAs)x film on an InP substrate, the alloy

film will either extend or contract in the growth

direction depending on the strain sign as schematized

in Fig. 2a. This 'extrinsic' strain energy (due to the

mismatch with the substrate) contravenes the 'intrin-

sic' strain energy (due to the mismatch between the

two end-point binaries within the alloy) at the origin

of the spinodal decomposition. We have calculated

and compared total energies for several different

systems. In Fig. 3, we show the energy U(x) per

deposited atom versus x for a free-substrate bulk

(AlAs) I _x(InAs)~ (curve A) and for a 20 monolayers

perfectly flat film of (AlAs) l_~(InAs), on InP sub-

strate (curve B). The negative curvature for free-sub-

strate alloy turns to be positive for the alloy on InP

prohibiting any spinodal decomposition. From this

result, one can deduce that, as far as the surface is

perfectly flat, (AlAs) l x(InAs)~ grown on a InP

substrate cannot demix. However, one has to remem-

ber that the alloy growth front is actually rough

enough to allow part of the elastic strain to be

relaxed via step edges. We have calculated, and we

have shown that a 3 ML high roughness is sufficient

to stabilize phase separation in the InA1As film. We

also show that, a given roughness can be sufficient to

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328 G. Grenet et al./Applied Surface Science 123/124 (1998) 324 328

e n a b l e d e m i x i o n in InA1As, but not in I n G a A s (both o f t h e m lattice m a t c h e d to the InP substrate). T h e o b s e r v e d surface lateral c o m p o s i t i o n m o d u l a t i o n ap- pears thus as the result o f an e q u i l i b r i u m b e t w e e n : (i) an intrinsic alloy strain e n e r g y w h i c h d e c r e a s e s if phase separation occurs, (ii) an extrinsic alloy strain e n e r g y i n d u c e d by the m i s m a t c h b e t w e e n alloy phases and substrate, and (iii) a r o u g h e n i n g w h i c h i n d e e d increases the surface e n e r g y but a l l o w s b o t h an intrinsic and extrinsic strain relaxation via step edges.

Acknowledgements

C.P. thanks the ( C H R X - C T 9 4 0 4 2 8 ) .

C E E for financial support

References

[i] M. Oustric, M. Gendry, C. Santinelli, C. Meva'a, G.

Hollinger, O. Marty, M. Ambri, J. Meddeb, M. Pitaval, E.

Bearzi, T. Benyattou, G. Guillot, J.C. Harmand, M. Quillec,

in: B. Gil, R.L. Aulombard (Eds.), Semiconductor Heteroepi- taxy, World Scientific, 1995.

[2] J.W. Cahn, J.E. Hilliard, J. Chem. Phys. 28 (1959) 258.

[3] G.B. Stringfellow, J. Phys. Chem. Solids 33 (1972) 665.

[4] P.N. Keating, Phys. Rev. 145 (1966) 637.

[5] R. Martin, Phys. Rev. B 1 (1970) 4005.

[6] J.L. Martins, A. Zunger, Phys. Rev. B 30 (1984) 6217.

[7] P.A. Fedders, M.W. Muller, J. Phys. Chem. Solids 45 (1984) 685.

[8] S.H. Wei, L.G. Ferreira, A. Zunger, Phys. Rev. B 41 (1990) 8240.

[9] K.A. Mader, A. Zunger, Phys. Rev. B 51 (1995) 10462.

[10] F. Glas, Phys. Rev. B 51 (1995) 825.

[11] J.W. Cahn. Acta Met. 9 (1961) 795.

[12] J.W. Cahn, Trans. Met. Soc. AIME 242 (1968) 166.

[13] G.B. Stringfellow, J. Cryst. Growth 27 (1974) 21.

[14] G.B. Stringfellow, J. Cryst. Growth 65 (1983) 454.

[15] J.E. Oh, P.K. Bhattacharya, Y.C. Chert, O. Aina, M. Mat- tingly, J. Electron. Mater. 19 (1990) 435.

[16] O. Ueda, T. Fujii, Y. Nakada, H. Yamada, I. Umebu, J.

Cryst. Growth 95 (1989) 38.

[17] N.D. Zacharov, Z. Lilienthal-Weber, W. Swider, J. Wash- burn, A.S. Brown, R. Metzger, J. Electron. Mater. 22 (1993) 1485.

[18] A. Gomyo, K. Makita, I. Hino, T. Suzuki, Phys. Rev. Lett.

72 (1994) 673.

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