Introduction

Nanostructures for microelectronic applications need to be well controlled in terms of the shape, ordering and composition. Since Ge islands tend to nucleate randomly on flat Si substrates, substrate patterning can be used to achieve controlled positioning by creating material traps [1, 2]. Besides positioning the SiGe structures on the substrate, an appropriate pattern can also control their size. Using electron beam lithography (EBL), it is possible to vary width, depth and spacing of seed holes in order to trap the deposited material in a controlled way. This method allows strain relaxation in islands to also be controlled [3]. Similarly, it is also necessary to control the composition, since this parameter influences a number of electronic and optical properties [46].

In this paper, we use EBL and reactive ion etching (RIE) to realize periodical seed holes in Si substrates. The deposition of a few layer of Ge directly on Si-patterned substrates by LEPECVD results in the nucleation of SiGe islands at the preferential sites. We investigate the impact of the LEPECVD technique on composition and strain relaxation of SiGe islands using AFM and μ-Raman spectroscopy.

Experimental Procedure

Pit-patterned Si substrates were prepared by EBL upon a surface cleaned by an ultrasonic treatment with organic solvents. Then, two layers of poly(methyl methacrylate) were deposited by spinning (3,000 rpm) and baking for 1 h at 160°C. During EBL, different doses were used (250, 300, 350 and 400 μC cm−2) to create pits with final diameter between 80 and 300 nm. For every exposure, the patterned area was 25 × 25 μm2 with pits at a regular spacing of 1 μm, and 70–75 nm of Si was etched by RIE. After RIE, all samples were analyzed by scanning electron microscope and AFM to check the depth and quality of etching (Fig. 1). To obtain a clearer visualization of the surface in all the images shown in this work, we have used a grayscale corresponding to the surface gradient [7, 8]. The image edges are <110> directions.

Figure 1
figure 1

Scanning electron micrograph (a) and AFM gradient image (b) of patterned region on (001) Si substrate. The pit diameter was 100 nm while the depth ~70 nm. We choose the coordinate axes x and y to be parallel to the images edges, which are aligned to the [110] and directions, respectively

Pure Ge was deposited by LEPECVD [9, 10] directly on the cleaned patterned Si (001) substrates at different temperatures between 600 and 750°C. The thickness of deposited Ge ranged from 0.8 to 3.2 nm, while the growth rate was either 0.015 or 0.1 nms−1.

The distribution and size of the islands were characterized by AFM, while the Ge content was measured using μ-Raman spectroscopy. All AFM analyses were carried out in tapping mode using an Innova–Veeco instrument with ultra sharp tip (typical curvature radius 2 nm). The μ-Raman spectra were acquired in back-scattering configuration with a 532-nm excitation wavelength in order to obtain a high signal-to-noise ratio with Ge-rich structures [11]. Due to self-absorption, the investigated depth corresponds to about one half of the penetration depth d p, ranging from about 10 to 40 nm in Ge-rich Si1−x Ge x alloys. The microscope features a 100 ×/0.90NA objective with a spatial resolution of 360 nm. The spectral positions of the SiGe alloy vibrational bands were used to measure both the strain and Ge content [12, 13].

Results and Discussion

At low temperature (600°C) as shown in Fig. 2a, the mobility of Ge atoms was too low, and we obtained small islands between patterned areas. Increasing the temperature (750°C), the Ge mobility increases [14, 15], and we obtained 3D islands positioned correctly (Fig. 2c) with only very few islands between the pits. At this temperature, we varied the amount of deposited Ge to investigate the trapping effect of the holes [16]. In the range of amount of deposited Ge (0.9–3.2 nm), we did not observe islands in the region between the holes. Following models reported in literature [14, 17], this means that the migration length of Ge adatoms ( with D the diffusion coefficient) is greater than the distance between the holes. For a fixed patterning dimension, the island volume increases proportionally to the thickness of the deposited Ge. From high-resolution AFM scans, we can identify {105}, {113} and {15 3 23} facets at the sides of the islands and {1 1 10} facets near their tops, while the tops themselves are parallel to (001).

Figure 2
figure 2

AFM gradient images of a patterned area following the deposition of 2.8 nm of Ge at 600°C (a), 700°C (b) and 750°C (c). The growth rate was 0.1 nm s−1. At low temperature (a), we have formation of small SiGe 3D structures around pits. They are also observed at intermediate temperature (b), although in smaller quantity. At high temperature (c), only very few islands are formed which are not on the top of pits, and some pits appear to be uncapped with islands

We evaluated the effect of growth rate on the positioning and composition of the islands. The growth rates were 0.1 or 0.015 n ms−1. At these growth rates, keeping the other growth parameters fixed, we did not observe island formation between pits. This result has been expected, because by low growth rate we reduce the Ge adatom concentration, and consequently we decrease the possibility of nucleating new islands between pits. The volume of the islands changed: the structures grown at high growth rates have a lower volume and the aspect ratio (AR, which is defined as the height h divided by the square root of the base area A); those obtained at low rates have larger volume, and the AR is comparable to islands grown by MBE at the same temperature and growth rates (Fig. 3a, 3b) [18]. The effect of Ge thickness and growth rates described above has been characterized also by μ-Raman spectroscopy (Fig. 4). In Table 1, we report results on the Ge content for different Ge thickness deposited and growth rates. μ-Raman analyses show that if we increase the Ge thickness, the Ge content in the island increases. The residual strain measured by μ-Raman spectroscopy is always very small and of tensile nature, which probably indicates plastic relaxation at the growth temperature followed by thermal stress on cooling to room temperature. The Ge content of islands within the pattern does not change significantly when the growth rate is reduced from 0.1 to 0.015 nm s−1 despite the increase in volume.

Figure 3
figure 3

AFM gradient images of a patterned region following the deposition of 2.8 nm of Ge at 750°C. The growth rate was a 0.015 nm s−1 and b 0.1 nm s−1. In (a) the AR is 0.2 with a volume mean value of 7.118 × 10−3 μm3, while in (b) AR is ~0.11 with a volume of 1.380 × 10−3 μm3

Figure 4
figure 4

Examples of μ-Raman spectroscopy results obtained from single island inside the pattern (black data) and island outside the pattern (red data). The data refer to islands grown with a total amount of 2.8 nm of Ge with a 0.1 nm s−1 rate with a substrate temperature of 750°C. a Semilogarithmic plot of the Raman spectra with the indication of the three bands related to the islands (marked with Si–Si, Si-Ge and Ge–Ge) and the single band related to the Si bulk substrate. b Composition-strain plane showing the calibration curves extracted from Ref. [12] corresponding to the peaks shown in panel (a). The intersection of the curves is highlighted with the dot and marks the value of composition and strain for the islands. The method is described in detail in Ref. [13]

Table 1 Ge content x on patterned and unpatterned regions for a range of deposition thicknesses and growth rates

Conclusions

We have demonstrated regular SiGe islands on prepatterned substrate formed after the deposition of Ge by LEPECVD. In particular, we have analyzed by AFM and μ-Raman, the effects of temperature, thickness and growth rate on the shape, volume and composition of the SiGe islands. Optimal growth conditions for ordered Ge-rich island formation were found for the chosen geometry of the pattern.