Size Evolution of Ordered SiGe Islands Grown by Surface Thermal Diffusion on Pit-Patterned Si(100) Surface
© The Author(s) 2010
Received: 2 July 2010
Accepted: 9 September 2010
Published: 30 September 2010
The ordered growth of self-assembled SiGe islands by surface thermal diffusion in ultra high vacuum from a lithographically etched Ge stripe on pit-patterned Si(100) surface has been experimentally investigated. The total surface coverage of Ge strongly depends on the distance from the source stripe, as quantitatively verified by Scanning Auger Microscopy. The size distribution of the islands as a function of the Ge coverage has been studied by coupling atomic force microscopy scans with Auger spectro-microscopy data. Our observations are consistent with a physical scenario where island positioning is essentially driven by energetic factors, which predominate with respect to the local kinetics of diffusion, and the growth evolution mainly depends on the local density of Ge atoms.
KeywordsSiGe islands Ordering Pit-patterned Si surface Nucleation Diffusion Growth dynamics
Stranski–Krastanov (SK) growth of SiGe islands on Si(100) substrates has become a model system for nucleation , faceting [2, 3] and intermixing [4, 5]. For many technological applications , which require the individual addressability of the islands, the randomness in their positioning on a flat substrate impose serious limitations. Substrate two-dimensional patterning has been shown to induce an ordered growth process with a controlled positioning . Usually, the templates consist of a 2D array of pits where only a single island develops at the pit bottom . In order to further explore device engineering in these systems, some crucial parameters must be controlled. From a mesoscopic point of view, island shape and size distributions are the most important factors that can be managed. Hence, it is imperative to understand and control the growth conditions for a rational nanostructures design.
In this work, we investigate the self-assembly of SiGe islands on a pit-patterned Si(100) surface grown by a novel method, which makes use of a lithographically etched Ge stripe used as atomic source directly placed on the sample surface. The total surface coverage of Ge strongly depends on the distance from the source stripe, so that the method allows to investigate the island growth over a wide range of dynamical regimes at the same time. A similar approach, using an artificially induced gradient of the Ge coverage, has been recently employed by Brehm et al.  for the study of the SK growth onset in case of flat surface. From the size evolution exhibited by the ordered nucleated islands as a function of the distance from the source stripe, we propose a scenario where island positioning is essentially driven by energetic factors, which predominate with respect to the local kinetics of diffusion, and the growth evolution mainly depends on the local density of Ge atoms.
Experiment and Methods
The samples consist of Ge stripes (width ~ 3÷5 μm) obtained by a photolithographic patterning of pure Ge thin films (thickness ~ 50 nm), grown on a Si(100) substrate by Low Energy Plasma Enhanced Chemical Vapour Deposition (LEPECVD) . The sample surface close to the stripe region has been patterned with a squared two-dimensional array of circular pits (diameter ~ 150 nm, depth ~ 25 nm, period ~ 1 μm) with an overall width of about 10 μm from the stripe edge, obtained by means of Electron Beam Lithography (EBL) and reactive Ion Etching (RIE). Removal of native silicon oxide and germanium oxide has been obtained by using a diluted HF solution at 10% for 30 s at room temperature. Surface contaminations have been removed by in situ low-temperature outgassing (T ≤ 500°C) and a mild Ar+ ion sputtering. A PHI 660 Scanning Auger Microscope (SAM) has been used for in situ Scanning Electron Microscopy (SEM) and spatially resolved chemical characterization at the sample surface before and after thermal diffusion. The stripes act as Ge sources directly placed on the sample surface, and self-assembled SiGe islands spontaneously originate along a continuous diffusion profile after annealing at high temperatures in UHV. The samples have been annealed by direct Joule heating running a DC current through the Si substrate. The temperature stabilization takes less than 30 s, and the temperature spatial distribution is highly uniform in the investigated area. The base pressure during the annealing time was always better than 1 × 10−9 torr. Atomic Force Microscopy (AFM) for ex situ analysis of the nucleated islands has been performed using a Veeco Innova microscope operated in tapping mode with ultra-sharp tips (nominal tip radius about 2 nm). Statistical analysis of AFM data has been performed using freely available software tools .
Results and Discussion
A quantitative validation of our educated guess about the factors governing the ordered growth process in presence of pit patterning can be obtained by correlating the volume of ordered grown islands with the effective Ge volume within the OL per island (see Fig. 3c). The last is obtained by integrating the Ge coverage within the capture zone of each island. In principle, in case of a perfectly ordered 2D squared array of islands, the capture zone has the same area for all islands having a squared shape with a side equal to the step size of the pit pattern. However, during data analysis, in order to correctly take into account even the case of not perfectly ordered growth, the capture zone for each island has been obtained by the Voronoi tessellation of the island network. A good linear correlation has been found between the volume of ordered grown islands and the effective Ge volume within the OL as given by a Pearson’s coefficient, r, of about 0.83, confirming that their size evolution as a function of x is mainly driven by the gradient into the Ge coverage. Thus, as a first approximation, the growth process could be described within a capture zone model [17, 18], extended to the case of variable Ge coverage. According to this model, the island volume scales linearly with the integral of the Ge coverage over the capture zone area (instead of the straight capture zone area as in case of homogeneous coverage ).
We stress that the above-mentioned model do not exclude SiGe intermixing phenomena during the annealing process, according to which Si penetrates into the growing islands. Indeed, the growth process can be still well described by this scaling behavior considering that islands are in a chemical equilibrium with the wetting layer. Furthermore, a detailed observation of Fig. 3c reveals a non-negligible set of islands at low Ge coverage (far away from the stripe) that deviate from the above-mentioned model, presenting higher volumes with respect to the linear scaling fitting. We speculate that the deviation from this linear scaling behavior could be due to an enhanced SiGe intermixing, which become significant in low Ge coverage regions far away from the stripe. There the timescale of the growth process is slower with respect to the high coverage region close to the stripe, leaving enough time to islands to gather Si from their surroundings. If this hypothesis would be true, we expect that in islands grown farther away from the stripe, the alloying offers a path for a partial elastic strain relaxation increasing the critical size for insertion of misfit dislocations, as found in the case of random nucleation . Opposite to this, the almost negligible SiGe intermixing for islands grown close to the stripe due to a rapid growth process should be accompanied by a plastic relaxation by misfit dislocations. The experimental verification of these hypothesis overcomes the scope of the present paper, but could motivate a further investigation into the evolution of Ge composition and strain state of islands grown by surface thermal diffusion on a pit-patterned surface, possibly addressed in future by Micro-Raman Spectroscopy and Transmission Electron Microscopy.
In conclusion, we have investigated the growth of self-assembled SiGe islands on a pit-patterned Si(100) surface by surface thermal diffusion from a lithographically etched Ge stripe. The ordered island growth has been obtained by controlling the local atomic mobility and the length of the diffusion pathway of Ge atoms, by means of a correct choice of the growth parameters (annealing time and temperature). A controlled size evolution of islands grown in a ordered squared 2D array has been obtained by controlling the diffusion dynamics of Ge from the source stripe. This entails a variation of the local density of Ge atoms upon the distance from the source able to modulate the average Ge content inside the growing islands and thus their dimensions.
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
- Mo YW, Savage DE, Swartzentruber BS, Lagally MG: Phys. Rev. Lett.. 1990, 65: 1020. COI number [1:CAS:528:DyaK3cXlvVWksbs%3D]; Bibcode number [1990PhRvL..65.1020M] COI number [1:CAS:528:DyaK3cXlvVWksbs%3D]; Bibcode number [1990PhRvL..65.1020M] 10.1103/PhysRevLett.65.1020View Article
- Medeiros-Ribeiro G, Bratkovski AM, Kamins TI, Ohlberg DAA, Stanley Williams R: Science. 1998, 279: 353. COI number [1:CAS:528:DyaK1cXmtlOiuw%3D%3D]; Bibcode number [1998Sci...279..353M] COI number [1:CAS:528:DyaK1cXmtlOiuw%3D%3D]; Bibcode number [1998Sci...279..353M] 10.1126/science.279.5349.353View Article
- Ross FM, Tromp RM, Reuter MC: Science. 1999, 286: 1931. COI number [1:CAS:528:DyaK1MXnvFSitLs%3D] COI number [1:CAS:528:DyaK1MXnvFSitLs%3D] 10.1126/science.286.5446.1931View Article
- Magalhaes-Paniago R, Medeiros-Ribeiro G, Malachias A, Kycia S, Kamins TI, Stan Williams R: Phys. Rev. B. 2002, 66: 245312. Bibcode number [2002PhRvB..66x5312M] Bibcode number [2002PhRvB..66x5312M] 10.1103/PhysRevB.66.245312View Article
- Schlli TU, Stangl J, Zhong Z, Lechner RT, Sztucki M, Metzger TH, Bauer G: Phys. Rev. Lett.. 2003, 90: 066105. Bibcode number [2003PhRvL..90f6105S] Bibcode number [2003PhRvL..90f6105S] 10.1103/PhysRevLett.90.066105View Article
- Schmidt OG, Eberl K: IEEE Trans. Electron Devices. 2001, 48: 1175. COI number [1:CAS:528:DC%2BD3MXkslKis7k%3D]; Bibcode number [2001ITED...48.1175S] COI number [1:CAS:528:DC%2BD3MXkslKis7k%3D]; Bibcode number [2001ITED...48.1175S] 10.1109/16.925244View Article
- Zhong Z, Schmidt OG, Bauer G: Appl. Phys. Lett.. 2005, 87: 133111. Bibcode number [2005ApPhL..87m3111Z] Bibcode number [2005ApPhL..87m3111Z] 10.1063/1.2061870View Article
- Zhong Z, Schwinger W, Schffler F, Bauer G, Vastola G, Montalenti F, Miglio L: Phys. Rev. Lett.. 2007, 98: 176102. Bibcode number [2007PhRvL..98q6102Z] Bibcode number [2007PhRvL..98q6102Z] 10.1103/PhysRevLett.98.176102View Article
- Brehm M, Montalenti F, Grydlik M, Vastola G, Lichtenberger H, Hrauda N, Beck MJ, Fromherz T, Schffler F, Miglio L, Bauer G: Phys. Rev. B. 2009, 80: 205321. Bibcode number [2009PhRvB..80t5321B] Bibcode number [2009PhRvB..80t5321B] 10.1103/PhysRevB.80.205321View Article
- Isella G, Chrastina D, Rssner B, Hackbarth T, Herzog H-J, Knig U, von Knel H: Solid-State Electron.. 2004, 48: 1317–1323. COI number [1:CAS:528:DC%2BD2cXjs1anu78%3D]; Bibcode number [2004SSEle..48.1317I] COI number [1:CAS:528:DC%2BD2cXjs1anu78%3D]; Bibcode number [2004SSEle..48.1317I] 10.1016/j.sse.2004.01.013View Article
- Horcas I, Fernndez R, Gmez-Rodrguez JM, Colchero J, Gmez-Herrero J, Baro AM: Rev. Sci. Instrum.. 2007, 78: 013705. COI number [1:STN:280:DC%2BD2s3ptlaktw%3D%3D]; Bibcode number [2007RScI...78a3705H] COI number [1:STN:280:DC%2BD2s3ptlaktw%3D%3D]; Bibcode number [2007RScI...78a3705H] 10.1063/1.2432410View Article
- Fadley CS: Prog. Surf. Sci.. 1984, 16: 275–388. COI number [1:CAS:528:DyaL2MXit1yntLk%3D]; Bibcode number [1984PrSS...16..275F] COI number [1:CAS:528:DyaL2MXit1yntLk%3D]; Bibcode number [1984PrSS...16..275F] 10.1016/0079-6816(84)90001-7View Article
- Vanacore GM, Zani M, Isella G, Osmond J, Bollani M, Tagliaferri A: Phys. Rev. B. (to be published) (to be published)
- Brehm M, Grydlik M, Lichtenberger H, Fromherz T, Hrauda N, Jantsch W, Schffler F, Bauer G: App. Phys. Lett.. 2008, 93: 121901. Bibcode number [2008ApPhL..93l1901B] Bibcode number [2008ApPhL..93l1901B] 10.1063/1.2988261View Article
- Rastelli A, Stoffel M, Malachias A, Merdzhanova T, Katsaros G, Kern K, Metzger TH, Schmidt OG: Nano Lett. 2008,8(5):1404. COI number [1:CAS:528:DC%2BD1cXktVGitLc%3D]; Bibcode number [2008NanoL...8.1404R] COI number [1:CAS:528:DC%2BD1cXktVGitLc%3D]; Bibcode number [2008NanoL...8.1404R] 10.1021/nl080290yView Article
- Tagliaferri A, Vanacore GM, Zani M, Bonera E, Isella G, Osmond J, Bollani M, Montalenti F, Capellini G: . to be submitted to be submitted
- Mulheran PA, Blackman JA: Phys. Rev. B. 1996, 53: 10261. COI number [1:CAS:528:DyaK28Xis12gsL8%3D]; Bibcode number [1996PhRvB..5310261M] COI number [1:CAS:528:DyaK28Xis12gsL8%3D]; Bibcode number [1996PhRvB..5310261M] 10.1103/PhysRevB.53.10261View Article
- Pratontep S, Brinkmann M, Nuesch F, Zuppiroli L: Phys. Rev. B. 2004, 69: 165201. Bibcode number [2004PhRvB..69p5201P] Bibcode number [2004PhRvB..69p5201P] 10.1103/PhysRevB.69.165201View Article
- Vanacore GM, Nicotra G, Zani M, Bollani M, Bonera E, Capellini G, Isella G, Montalenti F, Osmond J, Picco A, Tagliaferri A: . to be submitted to be submitted