The effect of ion implantation on structural damage in compositionally graded AlGaN layers

Compositionally graded AlₓGa₁₋ₓN alloys with the Al concentration in the (7 ≤ x ≤ 32) range were implanted with Ar+ ions to study the structural and strain changes (strain engineering). It was shown that ion implantation leads to ~0.3…0.46% hydrostatic strains and a relatively low damage of the crys...

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Published in:Semiconductor Physics Quantum Electronics & Optoelectronics
Date:2019
Main Authors: Liubchenko, O.I., Kladko, V.P., Stanchu, H.V., Sabov, T.M., Melnik, V.P., Kryvyi, S.B., Belyaev, A.Ye.
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Language:English
Published: Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України 2019
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/215418
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Cite this:The effect of ion implantation on structural damage in compositionally graded AlGaN layers / O.I. Liubchenko, V.P. Kladko, H.V. Stanchu, T.M. Sabov, V.P. Melnik, S.B. Kryvyi, A.Ye. Belyaev // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2019. — Т. 22, № 1. — С. 119-129. — Бібліогр.: 40 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Liubchenko, O.I.
Kladko, V.P.
Stanchu, H.V.
Sabov, T.M.
Melnik, V.P.
Kryvyi, S.B.
Belyaev, A.Ye.
author_facet Liubchenko, O.I.
Kladko, V.P.
Stanchu, H.V.
Sabov, T.M.
Melnik, V.P.
Kryvyi, S.B.
Belyaev, A.Ye.
citation_txt The effect of ion implantation on structural damage in compositionally graded AlGaN layers / O.I. Liubchenko, V.P. Kladko, H.V. Stanchu, T.M. Sabov, V.P. Melnik, S.B. Kryvyi, A.Ye. Belyaev // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2019. — Т. 22, № 1. — С. 119-129. — Бібліогр.: 40 назв. — англ.
collection DSpace DC
container_title Semiconductor Physics Quantum Electronics & Optoelectronics
description Compositionally graded AlₓGa₁₋ₓN alloys with the Al concentration in the (7 ≤ x ≤ 32) range were implanted with Ar+ ions to study the structural and strain changes (strain engineering). It was shown that ion implantation leads to ~0.3…0.46% hydrostatic strains and a relatively low damage of the crystal structure. The ion-implantation leads mainly to an increase in the density of point defects, while the dislocation configuration is almost unaffected. The density of microdefects is sufficiently reduced after the post implantation annealing. The structural quality of the AlₓGa₁₋ₓN layers strongly depends on the Al concentration and worsens with increasing Al. The implantation-induced structural changes in highly dislocated AlₓGa₁₋ₓN layers are generally less pronounced. Based on the X-ray diffraction, a model is developed to explain the strain field behavior in the AlₓGa₁₋ₓN/GaN heterostructures by migration of point defects and strain field redistribution. The approach to simulate 2θ/ω scans using statistical dynamical theory of X-ray diffraction for implanted compositionally graded structures, AlGaN, has been developed.
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fulltext ISSN 1560-8034, 1605-6582 (On-line), SPQEO, 2019. V. 22, N 1. P. 119-129. © 2019, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine 119 Sensors The effect of ion implantation on structural damage in сompositionally graded AlGaN layers O.I. Liubchenko1,*, V.P. Kladko1, H.V. Stanchu1,2, T.M. Sabov1, V.P. Melnik1, S.B. Kryvyi1,3 and A.E. Belyaev1 1 V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, 41, prosp. Nauky, 03680 Kyiv, Ukraine 2 Institute for Nanoscience & Engineering, University of Arkansas, W. Dickson 731, Fayetteville, Arkansas 72701, United States 3 Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46 PL-02-668 Warsaw, Poland * E-mail: lubchenco.a@gmail.com Abstract. Compositionally graded AlxGa1–xN alloys with the Al concentration in the (7 ≤ x ≤ 32) range were implanted with Ar + ions to study the structural and strain changes (strain engineering). It was shown that ion implantation leads to ~0.3…0.46% hydrostatic strains and a relatively low damage of the crystal structure. The ion-implantation leads mainly to an increase of the density of point defects, while the dislocation configuration is almost unaffected. The density of microdefects is sufficiently reduced after the post- implantation annealing. The structural quality of the AlxGa1–xN layers strongly depends on the Al concentration and is worsen with increasing Al. The implantation induced structural changes in highly dislocated AlxGa1–xN layers are generally less pronounced. Based on the X-ray diffraction, a model is developed to explain the strain field behavior in the AlxGa1–xN/GaN heterostructures by migration of point defects and strain field redis- tribution. The approach to simulate 2θ/ω scans using statistical dynamical theory of X-ray diffraction for implanted compositionally graded structures AlGaN has been developed. Keywords: AlxGa1–xN, graded layers, ion implantation, statistical X-ray diffraction theory, microdefects. doi: https://doi.org/10.15407/spqeo22.01.119 PACS 61.05.-a, 61.05.C-, 61.10.Nz, 61.72.-y, 68.55.Ln, 68.65.-k, 78.55.Cr, 78.70.Ck Manuscript received 07.03.19; revised version received 21.03.19; accepted for publication 27.03.19; published online 30.03.19. 1. Introduction The wide range of direct band gaps of AlGaN alloys (from 3.4 to 6.2 eV) and the presence of strong electronic polarization fields [1] are attractive properties for the development of various optoelectronic devices. In particular, the recently demonstrated polarization- induced doping in III-nitrides was shown to effectively enhance the p-type conductivity of the AlGaN layers [2], which was successfully exploited for fabrication of light emitting diodes (LEDs) [2] and p-n junction devices [3]. At the same time, the ion implantation technique is more attractive for selective area doping and implant isolation [4]. It is well known that the implantation process leads to severe deterioration of the crystalline quality and accumulation of large lattice strains. These effects were extensively studied in the past for AlN and GaN semiconductors [5, 6], and it was shown that damage and strain buildup with increasing the ion dose until amorphization. The implantation damage is partially reduced after the post implantation high-temperature annealing, which is performed for donor/acceptor activation. The recent studies on the process of ion implantation in ternary Al0.44Ga0.56N layers have shown a multi-step damage accumulation with increasing the implantation fluence, and the transition threshold of the defects buildup increasing with AlN molar fraction [7]. No amorphization was reported for the AlGaN alloys implanted with Ar + ions at 320 keV. The accumulation of implantation damage in AlxGa1–xN alloys was also investigated in Ref. [8] for Al0.15Ga0.85N and Al0.77Ga0.23N layers implanted under random and channeled geometries with Tm + ions. The damage level was shown to be lower for channeling implantation, and like in Ref. [7] the damage behavior was distinct for the alloys with different AlN molar fractions. Specifically, it SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 120 was shown that surface regions with lower damage levels form for AlGaN layers with higher AlN molar fractions. Similar behavior of the bimodal damage was also demonstrated in Ref. [9] for AlxGa1–xN alloys (x = 0, 0.13, 0.47, 0.7, and 1) implanted with Ar + ions. In addition, the X-ray diffraction (XRD) analysis has shown that the implantation with Ar + ions introduces hydrostatic strain resulting from the expansion of the c-lattice parameter. Saturation of the strain was suggested to occur in alloys implanted at high ion fluences. In this work, a detailed XRD study of the effect of ion implantation and post implantation annealing on the structural damage and strain state is presented for compositionally graded AlxGa1–xN layers. The implications of the described results are important for further understanding of the processes of implantation damage in III-nitride alloys with compositional gradients. 2. Experiment The AlxGa1–xN layers were grown in a Veeco Gen-II plasma-assisted molecular beam epitaxy (PAMBE) system on commercial substrates consisting of ~5 µm of (0001) oriented GaN on AlN/sapphire. First, the 400-nm thick GaN buffer layer was grown under gallium-rich conditions at a substrate temperature of 690 °C. Next, the substrate temperature was raised up to 710 °C, and compositionally graded AlxGa1–xN layers were grown by linearly changing the temperature of the Al effusion cell [10]. The AlN molar fraction in the AlxGa1–xN layers was graded from ~7 up to ~22% (sample S1) and from ~7 up to ~32% (sample S2). Implantation was performed at room temperature at the angle 7°. Both samples were implanted with Ar + ions in two steps. For each step, the implantation energy and dose were 100 keV and 1×10 14 at./cm –2 , respectively. The high-temperature annealing was performed at ~750 °C for 15 min. The samples were investigated with high-resolution X-ray diffraction (HRXRD) using PANalytical X’Pert Pro MRD XL diffractometer equipped with the CuKα1 radiation (λ = 0.154056 nm), four-bounce (220) Ge monochromator, and three-fold (022) Ge analyzer. 3. Theory To simulate X-ray diffraction spectra, we use the statistical dynamical theory of X-ray diffraction developed in Refs. [11–13] for uniform epitaxial films with randomly distributed microdefects. The coherent part of the diffracted intensity from a uniform crystalline layer is based on solution of the equations for the coherent and diffuse waves [11] under the condition 0=u (where u is the statistical average of the displacement of the atoms from their positions in a perfect lattice [11, 13, 14]). In the case of symmetric Bragg diffraction, the diffracted ( c gE ) and transmitted amplitudes ( cE0 ) of X-ray waves from a plane-parallel plate of thickness l are given as [11]: ( ) ( )[ ]( ) ( ) QzizlizE c 1210 expexp εξ−−ξξ= , (1) ( ) ( )[ ]( ) ( ) QzizliEzE g c g 1exp1exp ε−−ξσ= , (2) where z is the depth coordinate. The amplitude coefficients of the reflected r and transmitted t waves through a layer of the thickness l are [11]: ( )( ) QilEr g g 1exp −ξσ= ± ± , (3) ( ) Qlit 1exp εξ= , (4) ( ) Qlit g 2exp ε−ξ=− , (5) where, [11], ( ) 21 exp ξ−ξξ= ilQ , ( ) 22,1 ξ±η−=ξ d , 22 4σ−η=ξ d , ggE −σσ=σ 22 , 2,102,1 ξ+ψ+σ=ε i , ψ+η=η 2id , ( )τ−σσ=ψ − 2 1 Egg , ( )[ ] ( )000 2sin2 λγθθ∆+χπ=η , ( )000 λγπχ=σ , ( )0,ggg c γλχ=σ ±± . Here, E is the static Debye–Waller (D-W) factor, λ – X-ray wavelengths, γ0 and γg are direction cosines, χ0, χg, χ–g – electric susceptibilities, which are related to the structure factor of the crystal unit cell, c is the polarization factor, θ – angle of incidence, θ0 – Bragg angle, 0θ−θ=θ∆ – deviation from the exact Bragg position. The X-ray diffraction spectra from the AlxGa1–xN/GaN heterostructures were calculated using the recursive formula approach. Accordingly, the amplitude coefficients of reflected Rn and transmitted Tn waves in the n-th layer of a multilayered system are given as follows [11]: g n g n g n g nng n g n rR Rtt rR − − − − − += 1 1 1 , g n g n nn n rR tT T − − − − = 1 1 1 . (6) In more details, to obtain the diffracted intensity, the AlxGa1–xN/GaN heterostructure is first separated by n sublayers. Then, this calculation starts from the substrate, and the recursion equations are used successively for each sublayer until the surface of the sample. Finally, the coherent part of the diffracted intensity is given by: 2 n c g RI = . (7) Reduction of diffracted intensity due to displacement fields u associated with microdefects is accounted by using the static Debye–Waller factor E [11, 13, 14]: ( )ugiE rr δ= exp , (8) where g r is the diffraction vector. SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 121 The randomly distributed spherically symmetric defects, which have zero deformation fields outside the cluster [11, 14–16], are considered to generalize the types of point defects and to describe the microdefect structure of the ion-implanted samples. The displacement field for randomly distributed spherically symmetric defects [11, 14–16] is given by: ( )     ≤ > =δ d d Rr Rr ru r r r ifvalue,random if,0 (9) The concentration of point defects in the AlxGa1–xN layers implanted with Ar + ions is commonly higher than in GaN bulk material [17, 18], and for the mentioned implantation energy and doses is expected to be at the order of 10 19 сm –3 [19, 20]. Then, the static D-W factor is given by [11,14,16]:       π −= 3 3 4 exp dd RCE (10) and, for low defect concentrations E is reduced to [16]: 3 3 4 1 dd RCE π −= . (11) Here, Cd and Rd are the concentration and microdefect radius, respectively. The correlation length τ is the main parameter of statistical theory of X-ray diffraction, which determines the defect related diffuse scattering [11, 14, 15]: ( ) ( )∫ ∞ ςςης=τ 0 exp dgi , (12) where ( )ςg is the correlation function [11, 13, 16]. In general, there are few types of spherical- symmetric microdefects, each requiring unique expressions for the correlation functions [13, 14, 16]. In this work, for the sake of simplicity the correlation function was generalized by the Gaussian function [13, 16]: ( )         τ πς =ς 0 2 4 expg , (13) which leads to the correlation length in the form of [13, 15]: ( ) ( )[ ]iyerfy +⋅−τ=τ 1exp 2 0 , (14) where πητ= 0y and 0τ is the Kato correlation length [21]. Considering the mentioned above spherically symmetric defects, the following relation is obtained between the correlation length 0τ and defect radius Rd [14, 15]: 00 4 3 γ=τ dR , (15) where ( )00 sin θ=γ . Also, taking into account Eqs. (11) and (15), the defect radius (Rd) and concentration of defects (Cd) can be determined as follows: ( )0 0 sin3 4 θ τ =dR , (16) ( )( ) ( ) 3 0 3 0 1sin 64 81 πτ −⋅θ = E Cd . (17) Finally, within the kinematical approximation, the diffuse part of the diffracted intensity is given by [13, 15]: ( ) ( ) lEI g d g ⋅τ⋅−σ= Re12 22 . (18) 4. Results and discussion The reciprocal space maps (RSMs) were measured around the asymmetrical ( 5220 ) reflection to study the epitaxial relationship in the ion-implanted GaN/AlxGa1–xN heterostructures after implantation and annealing processing. The ( 5220 ) RSMs of samples S1 and S2 are shown in Figs. 1a-d and Figs. 1e-h, respectively. The Qx coordinate is inversely related to the lattice parameter a and Qz – to the parameter c on RSMs. The most intensive peak and the elongated vertical streaks above it are attributed to the undamaged part of the GaN substrate and the compositionally graded AlxGa1–xN layer, respectively. Implantation with Ar + ions introduces expansion of the lattice parameter c, which is reflected in a downward shift of both the AlxGa1–xN peaks and streak below the GaN peak (Figs. 1b, 1c, 1f and 1g). The second implantation has induced an extra downward Qz shift only for the AlxGa1–xN peaks (Fig. 1c and 1g), which means increasing of the lattice parameter c. In addition, RSMs shows fully strained graded layer to GaN substrate at all the processing stages. Also, after each processing stage, there are no visible Qx shift of the AlxGa1–xN and GaN peak position, which indicates that implantation does not introduce notable strain along the a-axis of the crystal lattice. It is in agreement with previous reports [8, 22–24]. The high-temperature annealing resulted in a remarkable lattice recovery; however, some residual с-lattice extension is still observed in both the GaN and AlxGa1–xN layers (Fig. 1d and 1h). SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 122 The HRXRD 2θ/ω scans were measured around the symmetrical (0002) reflection to investigate in more details the implantation damage in the compositionally graded layers. The scattered intensity near the low-order reflection is generally characterized with higher intensity contrast between the interference fringes and background level, which is important for retrieving reliable data. For the samples S1 and S2, the measured (grey circles) (0002) 2θ/ω scans are shown in Fig. 2. The most intense peak on the HRXRD spectra corresponds to the undamaged GaN substrate. The peaks from the graded AlxGa1–xN layer appear in the form of interference fringes at the right side of the sharp GaN peak. Ion- implantation resulted in an extension of the GaN and AlxGa1–xN peaks toward the lower angles, which is almost fully recovered after the high-temperature annealing. Since the extension at the left side of the GaN peak also vanishes, this additionally confirms its strain nature. The (0002) 2θ/ω scans were simulated to compare the strain in the AlxGa1–xN/GaN heterostructures after the implantation with different Ar + doses. The depth profiles of Al concentration in the AlxGa1–xN layers of the as-grown samples S1 and S2 (insets in Fig. 2) were previously determined in Ref. [10] and are used in this work to study the effect of ion implantation on the strain distribution in the AlxGa1–xN/GaN heterostructures. It is well known that ion implantation is accompanied with formation of a high density of point defects, which generally leads to a vertical hydrostatic expansion of the unit cell (Fig. 1). To simulate 2θ/ω scans, the hydrostatic strain in the AlxGa1–xN and GaN buffer layers was approximated with Fig. 1. ( 5220 ) RSMs of the samples S1 (a-d) and S2 (e-h) measured at the different processing stage: (a, e) as-grown, (b, f) after the first implantation, (c, g) after the second implantation, and (d, h) after the high-temperature annealing. SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 123 the two-piece normal distribution (Eq. (19)), which is often used to fit the strain distribution in the ion- implanted layers [25], and an exponential function (Eq. (20)), respectively:    ρ> ρ≤ =               Ω ρ− −=      ∆ z z i z Τ d d i ,2 ,1 , 2 exp 2 AlGaN (19) ( )zkk d d 21 GaN exp −=      ∆ . (20) Here, ρ is the implanted range, 1Ω and 2Ω are the left- and right-hand-side standard deviations, Τ is the peak strain value, k1 and k2 are fitting parameters, and z is the distance from the sample surface. The differential evolution method [27, 28] allows one to minimize the deviation between two profiles and was employed for XRD 2θ/ω scans fitting. The error between the experimental and calculated 2θ/ω scans was determined as in Refs. [29, 30]. For the samples under investigation, the fitting is additionally complicated by the low intensity of the fringes from the AlxGa1–xN layer and the relatively high intensity from the peak at the lower angles from the GaN substrate. The widely used minimization criteria, such as mean-absolute error [27], relative error [27], and those described in Refs. [31–33], does not allow a good fitting of the entire XRD 2θ/ω scan, which is even more complicated when considering the diffuse scattering. Therefore, we first fitted the part of the 2θ/ω scan associated with the AlxGa1–xN layer, assuming the strain profiles, the static D-W factor, and the Kato correlation length in the form of two-sided Gaussian functions similar to those for the strain distribution (Eq. (19)). The profiles of the static Debye–Waller factor and the Kato correlation length were characterized with a common maximum. Second, the fitting criterion between the measured and simulated spectra is given as follows [30]: ∑ −= N K II N Err calcexp 1 , (21) where the user specified value of K is limited within [0.1–0.9]. For small and large values of K, a good fitting is achieved for the low and high intensity features of the 2θ/ω scan, respectively. When using the abovementioned 17.1 17.2 17.3 17.4 17.5 17.6 9 12 15 18 21 0 30 60 90 120 150 180 Simulated Experimental Initial (a) sample S1 1st implantation GaN GaN buffer 2nd implantation In te n s it y , a rb . u n it s θ, θ, θ, θ, deg Annealed AlGaN T h ic k n e s s , n m Al, % 17.1 17.2 17.3 17.4 17.5 17.6 17.7 5 10 15 20 25 30 35 0 30 60 90 120 150 180 Simulated Experimental Initial (b) sample S2 GaN GaN buffer 1st implantation 2nd implantation In te n s it y , a rb . u n it s AlGaN θ, θ, θ, θ, deg Annealed T h ic k n e s s , n m Al, % Fig. 2. Measured (gray circles) and simulated (red lines) (0002) 2θ/ω scans of the samples S1 (a) and S2 (b). The insets show the depth profiles of Al concentration in the AlxGa1–xN layers of samples S1 and S2. SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 124 criteria [27] with K = 1 and K = 2, the best fit is achieved near the peak of the GaN substrate, where the intensity is high. However, the fitting of the AlxGa1–xN layer is generally poor. Therefore, the AlxGa1–xN peak was first fitted separately, using [ ]65.05.0 −≈K , while the parameters k1 and k2 in (Eq. (20)) were kept fixed. After this, the determined fitting parameters for the AlxGa1–xN layer were fixed, and the peak for the GaN buffer layer was fitted by changing k1 and k2 in Eq. (20). For the GaN buffer, the values of K were given both larger [0.7–0.8] and lower [0.2–0.5] than for the AlxGa1–xN layer. The mutual influence of small changes in the fitting parameters of the two-step fitting process on the XRD spectra is small and can be neglected. The deviation between the experimental and calculated XRD spectra is estimated using the following relative error: ∑ − = N calc rel I II N Err exp exp1 (22) The relative error of the performed fitting did not exceed 40% for the sample S1 and 48% for the sample S2. The depth profiles of strain in the AlxGa1–xN/GaN heterostructures obtained from the simulations are shown in Fig. 3. The AlxGa1–xN layers of the as-grown samples are under compressive strain (εc) along the c-axis due to the tensile biaxial strain (εa) in the (0001) basal plane induced by the constant in-plane lattice parameter. The observed jump of εc at the AlxGa1–xN/GaN interface results from the fact that the grading of Al concentration in the AlxGa1–xN layer starts from about 7%, resulting in the ~0.17% lattice misfit at the AlxGa1–xN/GaN interface. After the implantation, an almost uniform depth distribution of hydrostatic strain in the AlxGa1–xN layers the most correctly describes the AlxGa1–xN peaks on the (0002) 2θ/ω scan. This is despite the high implantation energy (100 keV) that should have resulted in the maximum concentration of Ar + at the depth of about 90 nm from the surface [19], which is often reported for ion implantation into single crystals [26]. The strain in the GaN buffer increases only after the implantation with the first dose of Ar + ions and is not affected by the second dose. Like to that in the AlxGa1–xN layer, the strain in the GaN buffer is almost totally reduced after the sample annealing. Fig. 4 shows the averaged over the sample area depth profiles of the static Debye–Waller factor (E) and of the Kato correlation length (τ0) for the sample S1. The shape of these profiles is very close to that of the demonstrated in Fig. 3 (inset) hydrostatic strain. The detailed analysis of the XRD spectra inherent to the samples S1 and S2 suggest the presence of few types of microdefects. For example, the microdefects of small and large radius have a dominant effect on the spectra tail far and close to the Bragg position, respectively [34]. However, consideration of more types of microdefects sufficiently complicates the XRD spectra fitting and interpretation of results. Therefore, we consider only one dominant type of microdefects, which is characterized with some averaged across the layer parameters of the D-W factor, correlation length, as well as their depth distribution. Fig. 5 shows the microdefects radii and concentrations, which were calculated according to Eqs. (16) and (17) and averaged over the compositional gradient layer thickness. A higher concentration of defects with smaller radius is seen by comparing the Fig. 3. The depth profiles of strain in the samples S1 (a) and S2 (b). The inset shows the hydrostatic strain in the AlxGa1–xN layers after the implantation and annealing processes. SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 125 Fig. 4. Depth profiles of the static Debye–Waller factor E (a) and Kato correlation length τ0 (b) for the sample S1. as-grown samples S2 and S1, which can be explained by the higher Al concentration in the AlxGa1–xN layer of the sample S2. After ion implantation, the average defect size decreases with simultaneous increase of the defect concentration, and which is most noticeably observed for the sample S1. It should be noted that due to the high crystalline quality of the samples S1 and S2, the coherent part of diffracted intensity dominates over the diffuse component, which reduces the accuracy of determined depth profiles of the static D-W factor and radii of defects [35]. After the high-temperature annealing, the average microdefect size increases sufficiently. Also, for both samples the average concentration of defects is almost the same and lower than for the as-grown sample. III-nitride heterostructures are commonly character- rized with a high density of dislocations (10 8 –10 10 cm –2 ), and the effect of dislocations is higher for XRD spectra measured for high-order reflections. To simulate XRD spectra for investigated ion-implanted structures, the dislocations were included into the static Debye–Waller factor along with the point defects. However, for simplicity it was assumed that the diffuse scattering was caused solely by point defects. Moreover, the dislocations broadening of (0002) 2θ/ω scans is small in comparison with high-order reflections [29]. This also explains the weaker change of the microdefect state of the sample S2 in comparison with the sample S1. The 0 1000 2000 3000 4000 5000 6000 1E12 1E13 1E14 R a d iu s o f d e fe c ts , Å Sample S1 Sample S2 1st impl. 2nd impl. Annealed C o n c e tr a ti o n o f d e fe c ts , 1 /c m 3 Initial Fig. 5. The average defect radius Rd and concentration of defects Cd in the AlGaN layers of the samples S1 and S2 after the growth, implantation and annealing stages. defect concentration in the as-grown sample S2 is higher due to the higher Al concentration in the AlxGa1–xN layer, and higher lattice mismatch [10]. For perfect single crystals, the high-temperature processes, such as annealing, lead to generation of dislocation loops and defect agglomeration. However, for highly-dislocated crystals, the high-temperature annealing causes changes in dislocation configuration and their gliding with simultaneous change of the microdefect concentration [36, 37]. The triple-crystal (0002) ω-scans were measured at the Bragg positions of the GaN substrate and AlxGa1–xN layer to additionally study the type of defects introduced by ion implantation. Fig. 6 compares the double logarithmic plots of the (0002) ω-scans for the initial and Ar + -implanted sample S2. The broadening normal to the diffraction vector reflects the defect structure of the sample and for high-quality crystalline materials is determined by instrumental factors. Commonly, the slope of line shapes at the tail region follows the power law nI −θ∆~ for both ω and 2θ/ω scan types. Depending on the type of defects, n can vary between 2 and 5. Thereby, for epitaxial layers containing ordered threading dislocations, the double-crystal and triple-crystal measurements shows n = 3 and n = 4, respectively [38]. This was previously theoretically calculated by Kryvoglaz and then developed in the works of Kaganer SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 126 Fig. 6. Triple-crystal (0002) ω-scans in the log-log scale measured for GaN substrate, and AlxGa1–xN layer for the initial state and after the second stage of implantation in the sample S2. -4.00 -3.75 -3.50 -3.25 -3.00 -2.75 -2.50 -2.25 -2.00 -1.75 2nd impl. P o w e r n i n I = ( ∆ ω ∆ ω ∆ ω ∆ ω )n AlGaN (Sample 1) AlGaN (Sample2) GaN (Sample 1) GaN (Sample 2) Initial 1st impl. Anneal Fig. 7. The slope of the tail region determined from the (0002) ω-scans of GaN buffer and AlGaN layer from the samples S1 and S2. AlGaN (S1) AlGaN (S2) GaN (S1) GaN (S2) 260 280 300 320 340 Anneal 2nd impl. 1st impl. F W H M , a rc s e c Initial Fig. 8. FWHM of the (0002) ω-scans measured for the AlxGa1–xN layers and GaN substrates of the samples S1 and S2. et al. [39]. Additionally, Barchuk et al. [40] have shown that n can vary between 2 and 3, depending on the type of threading dislocations (screw or edge). For epitaxial layers containing random dislocations, the intensity decay at the tail region of the (0002) ω-scan is generally faster than for layers with threading pure screw dislocations [38]. It should be mentioned that for high densities of dislocations the behavior of intensity decay does not depends on the dislocations density but is defined solely by the dislocation type [38]. Additionally, due to the high densities of dislocations in as-growth non-implanted III-nitrides, the influence of point defects on the intensity decay is commonly neglected. The slope of the tail region determined from the (0002) ω-scans of the samples S1 and S2 are plotted in Fig. 7. It can be seen that the slope of the intensity decay for the GaN template is about 3.75…3.88 for the sample S1 and about 3.6…3.8 for the sample S2, and only slightly changes after the high-temperature annealing. The slope for the AlxGa1–xN layer is about 3.25 and 3.05 for the samples S1 and S2. The slope is only slightly affected by the implantation and annealing processes. Therefore, it may be concluded that the ion implantation does not sufficiently affect the dislocation configuration of the AlxGa1–xN/GaN heterostructure. The full width of half maximum (FWHM) of ω- scans for symmetrical (0002) reflection is commonly measured to estimate the density of screw-type dislocations [10]. FWHMs for the AlxGa1–xN layers and GaN substrates of the samples S1 and S2 are shown in Fig. 8, and compared for the as-grown, ion-implanted, and annealed stages. It can be seen that the density of screw-type dislocation is lower in the GaN and AlxGa1–xN layers of the sample S1, which has a lower Al concentration in the AlxGa1–xN layer. The density of screw-type dislocations in the AlxGa1–xN layers is about 1.35·10 8 cm –2 and 2.1·10 8 cm –2 for the samples S1 and S2, respectively [10]. FWHM increases after the first implantation and only slightly – after the second implantation step. The increase of the dislocation density at room temperature is unlikely, and the increase of the FWHM is probably related with the increase of the concentration of point defects and the change of the strain state in the sample. FWHM sufficiently decreases after the high-temperature annealing, which indicate the reduced concentration of point defects induced by implantation and small changes in the dislocation concentration. The nature of broadening of the GaN substrate peak is different from that of the AlxGa1–xN layer. It was shown in Ref. [19] that implantation in the upper part of an AlN/GaN SL also leads to an increase of the defect concentration in the buffer layer, which can be explained by the strain and microdefects redistribution in the sample. This also can be attributed to the samples S1 and S2 to explain the ω-scan broadening by the strain distribution and defect migration in the Al2O3-GaN substrate-GaN buffer-compositional gradient layer. 5. Conclusions In this work, the compositionally graded AlxGa1–xN/GaN heterostructures were implanted with Ar + ions to study the possibility of strain engineering. A method was developed to retrieve the profiles of strains and those of the fluctuational displacements of atoms caused by the presence of microdefects in a crystalline film by SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 127 simulating the XRD spectra from the ion-implanted heterostructures with including the diffuse scattering. It was shown that ion implantation with doses and energy of about (1…2)·10 14 cm –2 and 100 keV does can induce large values of hydrostatic strain ~0.3…0.46% and relatively low damage of the crystalline lattice. Ion implantation influences mainly on the density of point defects, while the dislocation configuration is almost unaffected. The density of microdefects is sufficiently reduced after the post-implantation annealing facilitated. The structural perfection of the AlxGa1–xN layers strongly depends on the Al concentration, and is reduced with increased Al. The structural changes induced by ion implantation in highly defected samples are less pronounced. Ion-implantation leads to ω-scans broadening from both the AlxGa1–xN and GaN layers, which can be explained by migration of the point defects and redistribution of strain fields within the heterostructure. 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X-ray diffuse scattering from threading dislocations in epitaxial GaN layers. J. Appl. Phys. 2010. 108, No. 4. P. 043521. doi: 10.1063/1.3460803. SPQEO, 2019. V. 22, N 1. P. 119-129. Liubchenko O.I., Kladko V.P., Stanchu H.V. et al. The effect of ion implantation on structural damage … 129 Authors and CV Oleksii I. Liubchenko, born in 1991, graduated from the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” in 2015 and postgraduate study at the V. Lashkaryov Institute of Semicon- ductor Physics. Since 2018, he is the junior researcher at Department for Diffraction Analysis of the Structure of Semiconductors in V. Lashkaryov Institute of Semiconductor Physics, NASU. The area of scientific interests is material analysis sciences, high-resolution X- ray diffraction and computer simulation of XRD spectra. He authored 6 articles. E-mail: lubchenco.a@gmail.com Vasyl P. Kladko, Doctor of Sciences (Physics and Mathematics), Corres- ponding Member of the National Academy of Sciences of Ukraine, Head of the Department of Structural and Elemental Analysis of Materials and Systems at the V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine. Author of more than 300 publications. His research interests include: solid-state physics, dynamical theory of diffraction of radiation, X-ray optics, X-ray diffraction analysis of semiconductor crystals, hetero- and nanosystems. H.V. Stanchu, born in 1987. Work experience: junior researcher at the V. Lashkaryov Institute of Semi- conductor Physics, NAS of Ukraine. PhD student at the University of Arkansas. Authored over 18 peer- reviewed articles. The area of his scientific interests includes solid state physics, crystal characterization, and materials science. Tomash Sabov, born 1992 in Uzhgorod (Ukraine), graduated in electronics 2015 (Kyiv Polytechnic Institute), since 2015 he is a Ph.D. student at the V. Lashkaryov Institute of Semiconductor Physics, NASU. Since 2018 he is a junior researcher at the Department of Ion Beam Engi- neering at the V. Lashkaryov Institute of Semiconductor Physics. He is author of more than 20 publications. His main research activity is physics of thin films, chromogenic materials and SIMS analysis. Victor P. Melnik, Doctor of Sciences (Physics and Mathematics), Senior Researcher, Department of Ion-Beam Engineering, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine. Author of more than 150 publications. His research interests include: solid- state physics, ion-beam material synthesis, SIMS spectroscopy. Serhii B. Kryvyi, born in 1991, defended his PhD thesis in solid state physics in 2017. Researcher at the Department of Structural and Elemental Analysis of Materials and Systems, V. Lashkaryov Institute of Semiconductor Physics, NAS of Ukraine. Postdoctoral fellowship in Laboratory of X-ray and Electron Microscopy Research, Institute of Physics Polish Academy of Sciences. Authored 14 articles and 1 patent. The area of his scientific interests includes solid state physics, real crystal structure, and materials science. A.E. Belyaev, Director of V. Lashka- ryov Institute of Semiconductor Physics, Асаdemician of NAS of Ukraine, Professor, Doctor of Sciences. The area of his scientific interests includes electrical and galvanomagnetic properties of semiconductors.
id nasplib_isofts_kiev_ua-123456789-215418
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1560-8034
language English
last_indexed 2026-03-23T18:50:58Z
publishDate 2019
publisher Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
record_format dspace
spelling Liubchenko, O.I.
Kladko, V.P.
Stanchu, H.V.
Sabov, T.M.
Melnik, V.P.
Kryvyi, S.B.
Belyaev, A.Ye.
2026-03-16T10:57:54Z
2019
The effect of ion implantation on structural damage in compositionally graded AlGaN layers / O.I. Liubchenko, V.P. Kladko, H.V. Stanchu, T.M. Sabov, V.P. Melnik, S.B. Kryvyi, A.Ye. Belyaev // Semiconductor Physics Quantum Electronics &amp; Optoelectronics. — 2019. — Т. 22, № 1. — С. 119-129. — Бібліогр.: 40 назв. — англ.
1560-8034
PACS: 61.05.-a, 61.05.C-, 61.10.Nz, 61.72.-y, 68.55.Ln, 68.65.-k, 78.55.Cr, 78.70.Ck
https://nasplib.isofts.kiev.ua/handle/123456789/215418
https://doi.org/10.15407/spqeo22.01.119
Compositionally graded AlₓGa₁₋ₓN alloys with the Al concentration in the (7 ≤ x ≤ 32) range were implanted with Ar+ ions to study the structural and strain changes (strain engineering). It was shown that ion implantation leads to ~0.3…0.46% hydrostatic strains and a relatively low damage of the crystal structure. The ion-implantation leads mainly to an increase in the density of point defects, while the dislocation configuration is almost unaffected. The density of microdefects is sufficiently reduced after the post implantation annealing. The structural quality of the AlₓGa₁₋ₓN layers strongly depends on the Al concentration and worsens with increasing Al. The implantation-induced structural changes in highly dislocated AlₓGa₁₋ₓN layers are generally less pronounced. Based on the X-ray diffraction, a model is developed to explain the strain field behavior in the AlₓGa₁₋ₓN/GaN heterostructures by migration of point defects and strain field redistribution. The approach to simulate 2θ/ω scans using statistical dynamical theory of X-ray diffraction for implanted compositionally graded structures, AlGaN, has been developed.
en
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
Semiconductor Physics Quantum Electronics &amp; Optoelectronics
Sensors
The effect of ion implantation on structural damage in compositionally graded AlGaN layers
Article
published earlier
spellingShingle The effect of ion implantation on structural damage in compositionally graded AlGaN layers
Liubchenko, O.I.
Kladko, V.P.
Stanchu, H.V.
Sabov, T.M.
Melnik, V.P.
Kryvyi, S.B.
Belyaev, A.Ye.
Sensors
title The effect of ion implantation on structural damage in compositionally graded AlGaN layers
title_full The effect of ion implantation on structural damage in compositionally graded AlGaN layers
title_fullStr The effect of ion implantation on structural damage in compositionally graded AlGaN layers
title_full_unstemmed The effect of ion implantation on structural damage in compositionally graded AlGaN layers
title_short The effect of ion implantation on structural damage in compositionally graded AlGaN layers
title_sort effect of ion implantation on structural damage in compositionally graded algan layers
topic Sensors
topic_facet Sensors
url https://nasplib.isofts.kiev.ua/handle/123456789/215418
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