Journal of Nanomaterials

Volume 2008 (2008), Article ID 874213, 19 pages

http://dx.doi.org/10.1155/2008/874213

## Toward a Detailed Understanding of Si(111)- Surface and Adsorbed Ge Nanostructures: Fabrications, Structures, and Calculations

Nanoscale Physics & Devices Laboratory, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100080, China

Received 30 August 2007; Accepted 11 January 2008

Academic Editor: Jun Lou

Copyright © 2008 Ye-Liang Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Firstly, both the rest atoms and the adatoms of Si(111)- surface are observed simultaneously by scanning tunneling microscopy (STM) when the sample bias voltages are kept less than − 0.7 V. The visibility of the rest atoms is rationalized by first-principle calculations and a very sharper tip can resolve them. Secondly, the behaviors of various Ge nanostructures fabricated on Si(111)-, ranging from the initial adsorption sites of individual Ge atoms to the aggregation patterns of Ge nanoclusters, and then to 2D extended Ge islands, are comprehensively investigated by STM. The individual Ge atoms tend to substitute for Si adatoms at Si(111)- with the preference of corner adatoms in the faulted half unit when keeping substrate at C. With increasing Ge coverage, individual Ge atoms and Ge nanoclusters coexist on the substrate. Subsequently, the density of Ge nanoclusters increase and cluster-distribution becomes gradually regular with the formation of final 2D extended hexagonal configuration. When keeping the substrate at C, Ge islands consisting of more complicated reconstructions with intermixing Ge/Si components are present on the substrate. The detail structural characterizations and the bonding nature of the observed Ge nanostructures are enunciated by the first-principle calculations.

#### 1. “Ultimate” STM Images of the Si(111)- Surface

Si(111)-7 7 surface as one of the most complicated and fascinating object of study is being extensively used in various research fields ranging from surface science and material science to nanotechnology. As a classic example, this reconstructed surface provides a platform for the testing of the unprecedented resolution of STM as a novel powerful apparatus in the early 1980s [1]. The first real space atomic image of this surface was obtained by Binnig et al. in their landmark STM experiment [2], in which twelve bright spots corresponding to the topmost adatoms are revealed.

Since then, with this powerful tool and the later family of scanning probe microscope, the structure of Si(111)-7 7 surface has been extensively investigated [3–8]. The demonstrations on the atomic topography of clean Si(111)-7 7 surface commonly show the topmost adatoms. On the mapping of rest atoms of Si(111)-7 7 surface, some saddle points at the position expected for the rest atoms were reported by Avouris and Wolkow [3] and Nishikawa et al. [4] using STM. Recently, some special techniques were used to obtain the images of Si(111)-7 7 surface with atomic scale resolution, such as Lantz et al. [5] using scanning force microscopy and Giessibl et al. [6, 7] using atomic force microscopy. Sutter et al. [8] have mapped selectively the rest atoms at a price of suppressing the adatom spots with a monocrystalline semiconductor tip since its energy gap can suppress the tunneling from the adatoms at certain sample bias. STM is very sensitive to states closest to the sample Fermi Energy . The state of dangling bonds of the adatoms is about 0.4 eV below and that of rest atoms is about 0.8 eV below [9], so it is difficult to map the rest atoms whose dangling bonds state is far from . Up till now, the adatoms and the rest atoms of Si(111)-7 7 surface are still not clearly distinguished simultaneously by using conventional tungsten tip. This inability has led to the perception that the measured tunneling current for semiconductor materials comes mostly from states near the Fermi level instead of the states further away, due to the exponential dependence of the tunneling probability on the energy level position [10]. We revisit this surface by using STM. The resultant images simultaneously reveal that not only the 12 adatoms but also the 6 rest atoms per (7 7) unit cell of Si(111) surface have high contrast. A careful preparation of the STM tips (reducing the radius of the apex) may be the key to the success, as our first-principle calculations reveal a geometric hindrance effect of the tip apex for imaging of such complex surfaces.

##### 1.1. Experimental

The experiments were performed by using an ultra-high-vacuum (UHV) STM system with a base pressure of mbar. The sample was an antimony-doped -type Si(111) wafer (resistance 0.03 cm, thickness 0.5 mm). Before being introduced into the vacuum chamber, the sample is cleaned by ethanol in an ultrasonic bath and rinsed thoroughly by deionized water. It was degassed at about 600 in the chamber for several hours. Then, the sample was annealed by direct current heating while keeping the pressure below mbar. The annealing cycle consisted of flashing the sample to 1200 for 20 seconds, rapidly lowering the temperature to about 900, and then slowly decreasing the temperature at a pace of to room temperature. Nearly perfect (7 7) reconstruction was obtained by this method. Sharp STM tips made of a polycrystalline tungsten wire were etched electrochemically in NaOH solution and subsequently cleaned in ethanol and distilled water. Out of many tips used, however, only three had the ability to produce repeatedly the eighteen-spot STM images (Figure 1) while the others produce only the standard twelve-spot images.

##### 1.2. Imaging Simultaneously the Rest Atoms and Adatoms

The atomic arrangement of the Si(111)-7 7 reconstructed surface can be described by a commonly accepted dimer-adatom-stacking (DAS) fault model [11], as schematically shown in Figure 1. This model consists of twelve adatoms and six rest atoms, which are evenly distributed in the faulted half unit cell (FHUC) and unfaulted half unit cell (UHUC). Each unit cell contains nineteen dangling bonds perpendicular to the surface, twelve for the adatoms and six for rest atoms and one for corner atom below the vacancy. The tunneling current in STM of the Si(111)-7 7 surface originates from these dangling bonds. A stacking fault exists between the second and third atom layers in the FHUC side (the interlayer bonding rotates ), which makes the FHUC more reactive than the UHUC. The large unit cell size (2.7 nm 2.7 nm) makes this surface an ideal template for the growth of well-ordered nanostructures.

Figures 2(a) and 2(b) show STM images with high contrast. They demonstrate simultaneously the adatoms and the rest atoms, that is, 18 topographic maxima per (7 7) unit cell. The high-resolution image (Figure 2(b)) presents more clearly all of them. In the UHUC side, the rest atoms appear to have almost the same brightness as the central adatoms, whereas in the FHUC, the rest atoms appear to have considerably less brightness than the central adatoms. The line profile in Figure 2(c) showed the positions and height differences of the six distinct types of atoms (labeled 1 to 6) along the solid line depicted in Figure 2(b). The ranking of height of these atoms is as follows: 1 is the highest, then 3 and 6 follow, with 2, 4, and 5 being the lowest. The rest atom (site 2) in the FHUC side is at the same level as the rest atom (site 5) in the UHUC side, and they are both even at the same level as the central adatom (site 4) in the UHUC half side. The high contrast between rest atoms and adatoms is even better than the previous results obtained by using scanning force microscopies [5–7]. Very recently, Bassi et al. reported the extremely similar topography of this surface at −1.5 V by using Cr tip [12], they claimed that the Cr tip reduced its convolution effects and enhanced its resolving capability. Here, for the first time, all the rest atoms and adatoms of the Si(111)-7 7 surface are simultaneously revealed with high contrast by the conventional W tips. The emergence of rest atoms will be further rationalized below by theoretic analysis.

Noting the defect with the missing of one corner adatom (close to the hole at the left-upper corner of the panel) in Figure 2(b), it shows no influence on its adjacent rest atom, which is still visible and stays its normal position without any lateral distortion. So the absence of local adatom does not affect the geometric structures of its surrounding atoms in (7 7) unit cell. This result coincides with the recent reports about the local structures of adatom vacancies in Si(111)-7 7 surface [13]. There, Chen et al. conducted STM dI/dV mappings on adatom vacancies and found that the adatom vacancies showed different local electronic structures but no effect to the geometric or electronic structures of the nearby rest atoms.

##### 1.3. The Emergence of Rest Atoms Is Dependent on the bias Voltage

A sequential STM snapshots obtained at different sample bias voltages, as shown in Figure 3, illustrate that the emergence of rest atoms is dependent on the sample bias voltage. At lower bias voltages of −0.5 and −0.6 V, the images (Figures 3(a) and 3(b)) only show 12 adatoms in each (7 7) unit cell. It suggests that the electronic states of adatoms are closer to Fermi level than those of the rest atoms. The absence of the rest atoms ascribes to the electronic states of the rest atoms which are outside the range of the bias when the value of sample bias keeping very low. By further decreasing the value of bias voltage less than −0.7 V, the rest atom spots can be visible, as shown in Figures 3(c)–3(f). It clearly reveals that the dangling bond states of the rest atoms are located at about 0.7 eV below the , which is in excellent agreement with the experimental results measured by the method of current imaging tunneling spectroscopy (CITS). In the year 1989, Hamers et al. measured the electronic banding structure of Si(111)-7 7 surface by using CITS. They provided knowledge of the dangling bonds states of the adatoms (about 0.35 eV below the ) and the rest atoms (about 0.8 eV below the ) [9]. Here, the rest atoms appear to have almost the same brightness as the central adatoms on the UHUC when the bias voltages are less than −0.9 V (see Figures 3(e) and 3(f)).

The STM observations presented here are in sharp contrast to previous STM studies, which in most cases showed images similar to that in Figure 3(a) with 12 protrusions in each (7 7) unit, irrespective of the bias voltages (somewhere between −2 V to 2 V). A common explanation for the absence of the rest atom spots in the images relies on the fact that the tunneling probability depends on the thickness of the tunneling barrier [10]. Because the tunneling current is inversely proportional to the exponential of the thickness, the lower-electronic state located in the valence band corresponds to the smaller tunneling current. The rest atoms are invisible but the adatoms are visible may be because the former has significant lower energies than the latter. This argument, however, contradicts the theoretical prediction that the dangling bond states of the rest atoms extended into the vacuum region like the adatoms [14]. Also, because the rest atoms are about 4.6 Å away from the nearest adatoms, if one has an infinitely sharp tip positioned right above the rest atom, there is no reason to believe that the adatoms have effect to screen the rest-atom tunneling. If the tunneling currents from the rest atom were indeed weak, one can move the tip closer to the surface in a constant current STM mode. Thus, this common explanation is probably questionable.

Another possible explanation concerns tip contamination, that is, a few silicon atoms might be accidentally picked up by the tungsten tip during the scan, resulting in a semiconductor tip instead of the original metallic tip. Indeed, recently it has been shown that an InAs semiconductor tip [8] could be used to enhance rest-atom visibility by utilizing the second gap above the fundamental gap (both lie in the Brillouin zone center) of InAs material to suppress tunneling current from the high-lying adatom states. However, a previous study [15] also showed that the local electronic structure of a typical metal/semiconductor interface remains metallic until several monolayers are in the semiconductor. Thus, this is unlikely in the present case with Si atoms adsorption unless the thickness of the contaminant layer exceeds the effective screening length of Si.

##### 1.4. First-Principle Calculations Are in Remarkable Agreement with Experiments

It is impractical for us to experimentally determine what might have happened to the few tips that worked so remarkably well. Instead, we look for a plausible explanation from theory calculations. Our collaborators carried out the calculation by using first-principle density function theory (DFT) [16], as implemented in the VASP codes [17]. The Vanderbilt ultrasoft pseudopotential [18] was used with a cutoff energy equal to 170 eV and one special k-point in the Brillouin zone sum. The surface unit cell contains a slab of six Si layers (without counting the Si adatoms) and a vacuum layer equivalent to six Si layers. The front surface contains the (7 7) reconstruction in the Takayanagi model [11], whereas the back surface is passivated by hydrogen. Except for the bottom layer, all the Si atoms are fully relaxed to minimize the system total energy.

Apparently, the actual tip morphology is complex, possibly with additional atoms adsorbed at the end of the apex, as shown schematically in the inset in Figure 4(f). Because only the lower semispherical part of the tip can be in close proximity with the surface, here the tip is replaced by a sphere of radius . To further simplify the calculations, only the line-scans along the diagonal of the (7 7) unit cell are considered in our simulations.

Figure 4(a) shows the STM image of the Si(111)-7 7 surface at a sample bias of −0.57 V. The appearance shows a significant contrast between the FHUC and UHUC of the (7 7) unit. At this low sample bias, the electronic states of the rest atoms are outside the range of the bias, as demonstrated in Figures 3(a) and 3(b). Thus, the STM topography here reveals only the twelve topmost adatoms. The adatoms in the FHUC appear noticeably brighter than those in the UHUC. In each half, the adatoms at the corners appear also slightly brighter than those near the center. These qualitative features are in good agreement with the calculated real-space charge distribution at this particular bias (Figure 4(b)). Figure 4(c) shows the STM image at a sample bias −1.5 V. Images of similar quality can be repeatedly reproduced over large area up to 30 nm 30 nm (Figure 2(a)). We can clearly see both the adatoms and the rest atoms. On the UHUC, they appear to have almost the same brightness as the central adatoms, whereas on the FUHC, the rest atoms appear to have considerably less brightness than the central adatoms. These observations are again in excellent agreement with the calculated real-space charge distribution at the experimental bias in Figure 4(d).

Figure 4(e) shows the calculated linescan at −1.5 V with an infinitely sharp tip, that is, , as has been done before in most STM image simulations [19]. A sharp tip is also assumed in calculating the images in Figures 4(b) and 4(d). Now, we trace this curve with a disk of radius , which is a two-dimensional representation of the three-dimensional sphere, to explore geometric hindrance. It is assumed that at each tip position, tunneling takes place at only one spot on the disk. This is reasonable in most cases because tunneling probability diminishes exponentially with distance. However, there are a few exceptions where the disk is nearly or equally distanced from the curve, that is, at or near the local symmetry points. For simplicity, however, such a tunneling-current double effect is ignored in our simulation.

Our results show that for small disk radius mimicking adsorbed clusters, the line-scan is essentially the same as in Figure 4(e). Figure 4(f) shows the simulated result for Å. At this radius, while none of the main surface topological features have been lost, the overall shape of the linescan has been significantly modified, noticeably the depth of the profile, and the size of the atoms being noticeably larger than those in Figure 4(e). Figure 4(g) shows the simulated result for Å. At this radius, the rest atom on the FHUC has completely vanished. Even for the UHUC, the contrast between the rest atom spots and the adatom spots has been greatly reduced. Thus, it is clear that the attainable size of the tip apex is the crucial factor in imaging the true charge distribution on the (7 7) surfaces. Figure 4(h) shows the corresponding linescan determined by our experiment. Despite the simplicity of the model, the calculated result for Å in Figure 4(f) is in quantitative agreement with experimental observation. Some of the subtle differences between Figures 4(f) and 4(h) could probably ascribe to the tunneling-current double effect.

It is now understood that STM probes the real-space charge distribution near the in a rather delicate way that may or may not reveal the unperturbed real-space charge distribution of the surfaces. Here, For the Si(111)-7 7 surface, we show the calculated and experimental voltage-dependent charge distributions of the Si(111)-7 7 surface, which reveal simultaneously both the twelve adatoms and six rest atoms in each (7 7) unit cell [20]. The emergence of rest atom is dependent on the bias voltage and the rest atom spots can be visible at the sample bias voltages less than −0.7 V. The first-principle electronic structure calculations also show a strong dependence of the charge distribution on the bias voltage: twelve spots at −0.57 V for the twelve adatoms (see Figure 4(b)), whereas eighteen spots at −1.5 V for the twelve adatoms plus six rest atoms (see Figure 4(d)). Our results suggest that a geometric hindrance due to the finite size of the tip apex could be the reason for the invisibility of the rest atoms in the past experiments. This finding should invoke significant research interest in the design and fabrication of the STM tip and its applications in exploring more detailed information about surface reconstructions and nanostructures.

#### 2. Ge Nanostructures ON Si(111)- Surfaces

Low-dimensional structures can provide interesting physical and chemical properties due to their tiny size and shape. The growth of nanostructures with reduced dimensions has been extensively studied, driven by the intrinsic interest in structures as well as the potential technological applications in quantum devices [21]. Recent studies demonstrated the feasibilities and possibilities of growing self-organized nanostructures on periodic solid surfaces. The Si(111)-7 7 surface offers unique template for the self-assembly growth of divers nanostructures because of the large number of distinct bonding sites. Recently, “magic” islands and nanoclusters of semiconductor or metal have been grown on this surface [22–26]. Ordered arrays of two-dimensional nanodots/nanoclusters, including Al, Ga, In, Tl, Si, Ge, Sn, Pb, Na, Cu, Au, Ag, were successfully fabricated [27–51]. These self-organized structures are expected to have a smaller size and stronger confinement potentials compared to the lithographically defined clusters [52].

The adsorption of Germanium on the Si(111)-7 7 surface has been extensively studied in recent years [40–51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83], because Ge-based nanostructures have potential applications in microelectronics and optoelectronics. Indeed, Ge/Si system naturally has advantage compatible with Si technology. In addition, being currently incorporated in Si structures, Ge can be used to fabricate strained Si layers with enhanced mobility. Therefore, there are renewed activities in Ge-based nanostructures grown on Si surface in expectation of functional devices with unique electronic and optoelectronic properties [53].

The microscopic understanding of the bonding nature of the adsorbed Ge atoms is an essential issue for the controlled fabrication of desired nanostructures, since the initial adsorption nature may affect the growth behaviors of Ge-based quantum dots and films. In spite of numerous investigations, a unified picture for the bonding structures of Ge atoms on Si(111)-7 7 surface has not been established. Meanwhile, the formation and transformation process of various Ge nanostructures during the initial growth stages is far from being well understood. Without doubt, they impede the further control of the growth process of Ge nanostructures.

Here, we provide an STM investigation on various Ge nanostructures on Si(111)-7 7 surface with different size and geometry, ranging from individual Ge atoms (adsorption sites) to Ge nanoclusters (evolution and aggregation patterns), and then to 2D extended Ge islands (components and bondings). Especially, we go inside the structural characterizations as well as the transformation process and possible mechanisms of the observed Ge nanostructures in association with first-principle calculations.

The preparation of Si(111)-7 7 surface was
conducted as described in the part 1. Then Germanium (99.9999% purity) was
deposited onto the as-prepared Si(111)-7 7 surface by
resistive evaporation. The substrate was kept above room temperature (ranging
from 100 to 300) to facilitate the formation
of ordered structures since at room temperature, Ge atoms do not have enough
mobility to span the dimer wall after arriving on the Si(111)-7 7 surface [59, 61, 68]. During evaporation, the system pressure was better than mbar. A typical deposition
rate of 0.01 ML/min was routinely achieved. One monolayer is defined as the
atomic density of the unreconstructed Si(111) surface (1 ML atoms/cm^{2}. Each sample was cooled down
to room temperature, and then transferred to STM chamber for measurements. All
images were acquired in a constant-current mode with an electrochemically
etched tungsten tip.

##### 2.1. Direct STM Observations of the Adsorption Sites of Ge Atoms

For the adsorption sites of Ge atoms on Si(111)-7 7 surfaces reported in the literatures, X-ray standing wave (XSW) studies of submonolayer Ge deposited on Si(111)-7 7 at 300 done by Patel et al. in 1985 suggested that Ge atoms might occupy substitutional-like sites on the Si(111) plane [69]. However, the precise Ge sites and the bonding structures were not possible to determine in their studies. Also based on XSW measurements, Dev et al. in 1986 proposed that at low coverages ( 0.5 ML) Ge atoms would prefer to occupy the ontop sites and to bond directly to the Si adatoms and rest atoms which were just below the adsorbed Ge atoms [70]. Reflection electron microscopy and transmission electron diffraction investigations on Ge/Si(111)-7 7 prepared at 640 by Kajiyama et al. in 1989 found evidence that Ge atoms randomly substituted any Si atoms at the top three layers [71]. Core-level photoemission spectroscopy measurements by Carlisle et al. in 1994 provided indirect observations that there was some preference for Ge to replace the Si adatoms for the annealed Ge/Si(111)-7 7 samples [72]. More recent measurements using near-edge X-ray absorption spectroscopy and STM did not provide conclusive descriptions of Ge bonding sites on this surface [56, 73, 74].

Some theoretical calculations have also been reported
on Ge bonding sites on the Si(111)-7 7 surface,
however, the calculations provided limited information and showed contradictory
results. Early work was semiempirical and extended Hückel
calculations with limited predictive capabilities, which provided support for
the notion that Ge atoms bond directly to rest atoms or Si adatoms [75–77]. In
contrast to the semiempirical calculations, on the other hand, using
first-principle density functional calculations, Cho and Kaxiras in 1998
reported a limited exploration of bonding possibilities and found that the most
stable adsorption position for Ge on Si(111) is the high-coordination bridge B_{2} site (see Figure 1 for
pertinent terminology of the Si(111)-7 7 surface),
which was a bonding site that had not been proposed on the basis of
experimental data [78]. They introduced the so-called basins of attraction,
which contain stable adsorbate positions as high-coordination sites rather than
surface dangling bond sites. Their calculations showed that the rest atoms or
intrinsic Si adatoms sites (dangling bond T_{1} sites) of substrate were the
high-energy sites, and the low-energy sites were the B_{2}-type sites for Si and Ge
adsorption.

Here, we report STM observations and first-principle
calculations for the structure of the Ge-adsorbed Si(111)-7 7 surface at
low Ge coverages. Figure 5 shows STM image of the Si(111)-7 7 surface with
Ge coverages of 0.02, 0.08, and 0.10 ML, respectively. These images show that
the surface lattice retains the original (7 7)
reconstruction with the dimers and the adatoms. The FHUC and the UHUC of the (7 7)
reconstruction are distinguished due to the different contrast. The deposited
Ge atoms appear as bright protrusions. Three significant features are presented
in the STM images. First, the deposited Ge atoms are clearly resolved as
individual atoms on the surface. Second, the adsorbed Ge atoms reside on the
sites that were occupied by the Si adatoms on Si(111)-7 7. Finally,
more Ge atoms occupy the corner Si adatom sites in the FHUC than the other Si
adatom sites. No Ge atoms are found at either the rest atom or the
high-coordination surface sites. Furthermore, profile lines through the bright
dots show that the height difference between the Ge atoms and the original Si
adatoms is about 0.2 Å in the STM images. This data clearly show that the Si
adatom does not stay in its original position (on a clean Si(111)-7 7 surface, the
Si adatom occupies a so-called T_{4} site just above a second-layer
Si atom) [11, 79, 80]. As the bond length of Si-Ge is about 2.36 Å, the
increased height due to addition of one Ge atom should be reflected in the STM
image.

Therefore, the addition mechanism of Ge atop Si adatom is supposed as a questionable explanation. Moreover, the number of dangling bonds will increase to three if a Ge atom adds on the top of one Si adatom, and it is not considered having a suitable total energy. The topographic height undulations of adatom sites in STM images caused by Ge-Si exchange on Si(111)-5 5-Ge reconstructions have been proposed by Becker et al. [81] and Fukuda [82], and were also investigated by Rosei et al. [83] with current imaging tunneling spectroscopy. The feature of Ge-Si exchange is confirmed by our recent results, which will be introduced in the following section. Here, we suggest that Ge-Si exchange can also occur during the initial adsorption stage of Ge/Si epitaxy growth due to the structures similarity of Ge and Si. We thus conclude that Ge would prefer to substitute the Si adatoms in its initial adsorption stages.

As shown in Figures 5(b) and 5(c), there are three types of Ge protrusions patterns on the Si(111)-7 7 surface. The schematics of these three types patterns, named as type-A, type-B, type-C, are given in Figures 5(d), 5(e), and 5(f), respectively. Type-A illustrates three Ge atoms (red spheres) locating at one corner adatom site and two adjacent center adatom sites in a HUC. Type-B indicates the configuration with three Ge atoms occupying corner adatom sites in a HUC. Type-C refers to the adsorption structure with five Ge atoms residing on the sites of three corner adatoms and two center adatoms in a HUC. Type-B and Type-C distribute preferentially in the FHUCs, as shown in Figures 5(b) and 5(c).

The sites distribution of the bright protrusions at the corner and center adatom sites in both the FHUCs and the UHUCs is illustrated in Figure 6. At the Ge coverage of 0.02 ML, the site preference ratio is about 5.6 : 4.4 for the FHUC to the UHUC, and 6.1 : 3.9 for the corner to the center adatom sites, respectively. When the Ge coverage increases to 0.08 ML, the site preference ratios are about 9 : 1 for the FHUC to the UHUC, and 4 : 1 for the corner to the center adatom sites. The site distribution for the coverage of 0.10 ML is similar to that for the coverage of 0.08 ML. The overall conclusion is that after an initial random occupation of Si adatom sites, corner adatom sites in the FHUC are preferred and gradually type-B patterns become dominant. Type-A and Type-C patterns are more discernible at slightly higher coverages, and finally, small islands begin to appear.

Our collaborators performed first-principle DFT calculations using the pseudopotential method and a plane-wave basis set [16, 17]. The Si(111) surface was modeled by repeated slabs with 4 layers of Si atoms (each layer contained 16 Si atoms, corresponding to a 4 4 surface unit cell) and 4 Si adatoms, separated by a vacuum region of 12 Å. Two of the four rest atoms were saturated by hydrogen, so that the ratio of the number of the adatoms to that of the rest atoms is the same as for the 7 7 surface. Except for the Si atoms in the bottom layer, which were fixed and saturated by H atoms, all the atoms were relaxed until the forces on them were less than 0.05 eV/Å. The exchange-correlation effects were treated with the generalized gradient-corrected exchange-correlation functions given by Perdew and Wang [84]. The Vanderbilt ultrasoft pseudopotentials are adopted [18]. A plane-wave energy cutoff of 14.7 Ry and the point for reciprocal space sampling were used for all the calculations.

All the possible configurations with a Ge atom near an
adatom or/and a rest atom were calculated. Two lowest energy configurations, as
shown in Figure 7, were found to have essentially the same total energy (the
difference in total energy is smaller than 0.02 eV). The first one consists of
Ge at a B_{2} site (Figure 7(a)), as
identified earlier by Cho and Kaxiras [85]. In the second configuration (Figure 7(b)), the adsorbed Ge atom substitutes for an Si adatom and the substituted Si
adatom occupies a nearby B_{2} site. We refer to the Ge
position in the second configuration as S_{4} (substitutional site with four
nearest-neighboring silicon atoms). The total energies of the configurations
with Ge bonded at the ontop positions of adatoms and rest atoms are significantly
higher (2.3 and 1.6 eV, resp.) than the B_{2} and S_{4} configurations. So we can
clearly rule out the possibility of such configurations, which were suggested
previously on the basis of semiempirical calculations [70, 75, 76].

For both lowest energy configurations (B_{2} and S_{4}, the atom (Si or Ge) at a
bridge site may diffuse within a basin (to occupy any of the six B_{2} sites near the rest atom) and
across basins (to occupy the B_{2} sites near different rest
atoms). The diffusion barriers within a basin and across basins are about 0.5 eV (0.6 eV) and 1.0 eV (1.0 eV) for the Ge (Si) atoms, respectively, which is
in agreement with previous first-principle calculations [77, 86]. Therefore, Ge
atoms in the S_{4} configurations are
thermodynamically more stable than in the B_{2} configurations. In particular,
after the atoms initially bonded at the B_{2} sites migrate to step edges
and/or to form islands, the surface exhibits a stable Ge-S_{4} configuration, in which Ge
atoms substitute for some of the Si adatoms and no atoms are bonded at any of
the B_{2} sites (Figure 7(c)), as shown
by our STM observations. The Ge-S_{4} configuration is coincided
with the recent results reported by two research groups [46, 61]. They prepared
the sample with the same experimental conditions as the current work. In their
STM measurements, they also confirmed that Ge replaced Si adatoms on the
Si(111)-7 7.

It is well known that the backbonds of the Si adatoms
of the Si(111)-7 7 surface are
under considerable strain [11, 79, 86]. We therefore suggest that the adsorbed
Ge atoms are able to break the backbonds and further replace the Si adatoms at
elevated temperatures. Previous studies have established that the corner
adatoms in the FHUCs are under more strain than the other adatoms, which
implies that backbonds of the corner adatoms in the FHUCs are broken easier
than those of the other adatoms [85, 86]. When Ge atoms are deposited on the
surface, the chance for the Ge atoms occupying the B_{2} sites near a center adatom is
larger than that near a corner adatom (the center adatom has two nearby rest
atoms while the corner adatom has only one). Thus, the Ge–S_{4} bonding structure tends to be
preferentially formed at the corner adatom sites and in the FHUCs of the
Si(111)-7 7 surface [87].

Finally, the relaxed Ge–S_{4} configuration obtained from
our calculations shows that the Ge atom resides at the position higher by 0.24 Å than the original Si adatom that has been replaced by Ge, which is in good
agreement with our STM data.

##### 2.2. Formation and Transformation of Ge Clusters

It is of course interesting to study the possible configurations of Ge nanostructures in subsequent Ge depositions. Indeed, with increasing Ge coverage, some novel structures, like small Ge clusters with varying geometrical configurations appear on the Si(111)-7 7 surface. The representative image is shown in Figure 8(a) with Ge coverage about 0.12 ML deposited at the substrate temperature 100. A remarkable feature in the image is the emergence of Ge clusters with special configurations. Dimer rows and corner-holes of the surface are left uncovered, indicating a strong preference of the Ge clusters to locate in (7 7) unit cell. Deposited Ge clusters are imaged as bright bumps and four typical bump structures are distinguished, as named type-Tr, type-Te, type-P, and type-H. Figures 8(b)–8(e) show their magnified images.

Type-Tr (triangle-star-like) cluster emerges like a bright triangle star in a HUC, in this structure three center adatoms and their adjacent high-coordination sites are covered by Ge atoms. Similarly, in the type-Te (tetragonal-star-like), type-P (pentagonal-star-like), and type-H (hexagonal-star-like) clusters, Ge atoms occupy an increasing area in a HUC: type-Te covers one more rest-atom region, type-P covers another one, and type-P covers all three rest-atoms regions.

Four kinds of Ge cluster configurations appear in the same image, it suggests a formation process of Ge clusters from triangle to tetragonal, then to pentagonal, and at last to mature hexagonal-star-like structure despite the fact that we do not observe the real-time evolution of single Ge cluster from simple to complex. Each kind of Ge cluster is observed both in the FHUCs and UHUCs, as shown in Figure 8(a), and there is no clear preference for locating positions of Ge clusters in the FHUCs and UHUCs (37 clusters in the FHUCs and 34 clusters in the UHUCs).

Although the Ge cluster structures on the Si(111)-7 7 surface represent the majority in Figure 8(a), while lots of individual Ge atoms locating on the Si adatoms still can be resolved with bright spots at the positions of some Si adatoms in the empty-state STM image. As we know, the STM empty-state images are taken at positive sample bias voltage, corresponding to tunneling electrons from the occupied state of tip to sample. On clean Si(111)-7 7 surface, each adatom has a dangling bond and has the same probability to accept the tunneling electrons from tip, so all the adatoms on clean Si(111)-7 7 surface have the same brightness in STM empty-state images. By this rule, we can affirm that the brighter protrusions at the sites of Si adatoms are Ge atoms. Thus, individual Ge atoms and some Ge clusters coexist on the Si(111)-7 7 surface at proper substrate temperature and Ge coverage.

##### 2.3. Evolution of Hexagonal Ge Cluster Superlattice

The above results showed that most Ge atoms form correlated patterns at very low Ge coverages less than 0.1 ML, by replacing the Si adatoms of the Si(111)-7 7. With the further increasing of Ge coverage, deposited Ge atoms are constrained inside the HUC and aggregate into the form of clusters with different geometry and atom numbers. In addition, previous results reported the existence of hexagonal Ge nanostructures on Si(111)-7 7 [57, 60], however, the detail process and driving force are still not clear. Here, we will further reveal the evolution of hexagonal Ge clusters with increasing Ge coverages. The driving mechanism and the atomic geometry of Ge clusters will be enunciated by STM observations and first-principle calculations.

In Figures 9(a)–9(e), a sequence of STM images at varying Ge coverages show the continuing evolution of the Ge clusters from isolated ones into hexagonal patterns. The appearance illustrates that the density of Ge clusters gradually increases with the increasing Ge coverages. The cluster distribution becomes much regular from disordered arrangement to high-symmetric hexagonal superlattice. Six distinct local cluster patterns can be distinguished in STM images, as marked by different symbols. The schematics in Figures 9(f)–9(k) simply depict the structures of these local cluster patterns, ranging from single Ge clusters, to pair of clusters, to open cluster ring, and finally a close cluster ring with six clusters surrounding a hole in Si(111)-7 7 surface. The histograms in Figure 9(l) reveal the distribution feature of six different local Ge nanostructures at varying coverages. The evident tendency is that the ratio of simple cluster pattern reduces with the increase of complex ones.

The distribution tendency suggests the evolution of hierarchical cluster patterns from dispersing clusters to close cluster rings. Most of clusters discretely emerge on the substrate at low coverage of 0.10 0.15 ML with an initial preference in the FHUCs (see Figure 9(a)). And then open cluster rings containing three, four, and five clusters, nucleated on the Si(111)-7 7 surface at a Ge coverage of 0.2 ML (Figure 9(b)). Afterwards closed Ge hexagonal rings consisting of six clusters begin to form at a Ge coverage of 0.3 ML (Figure 9(c)). When the Ge coverage approaches to 0.4 ML, most of the HUCs of both FHUC and UHUC are occupied by Ge clusters. The underlying (7 7) surface periodicity and the hexagonal superstructures coexist. Finally, the high-regular hexagonal superlattice forms at a Ge coverage of 0.5 ML and covers the entire (7 7) surface (Figure 9(e)). The driving mechanism for the cluster evolution, ascribing to the charge transfer from Si center adatoms to Ge clusters, will be further discussed as following in association with DFT calculations.

In Figures 10(a) and 10(b), we show contrasted filled-state STM image at sample bias −2.5 V, and empty-state image at +2.5 V, respectively. The Ge clusters look more compact in the former than in the latter, and they show strong brightness in the center region of the FHUC. An obvious feature is that Ge cluster has a strong effect on its three neighboring UHUCs. The closest Si-center adatoms in the nearest-neighbor UHUCs are invisible in the filled-state image. However, these Si adatoms do exist at their original places in the (7 7) reconstruction, as shown by the empty-state image. This fact suggests that the Si-center adatoms in the nearest-neighbor UHUCs transfer charge to the Ge clusters.

As we know, the tunneling electrons transfer from sample to tip for the filled-state imaging, in reverse, they transfer from tip to sample for the empty-state imaging. Here in our measurements, in the filled-state images, the darkened areas (center adatoms) surround the clusters. One reason is due to geometric defect, that is, no adatoms exist at these positions. But the empty-state images prove the existence of the adatoms at the original positions. So, the only reason is that the charge of center adatoms transfers to nearby Ge clusters and resulting in the absence of tunneling electrons from center adatoms in the filled-state images. Thus, the STM measurements demonstrate lateral charge redistributions in Ge-Si system.

The charge transferring from center adatoms to Ge cluster is further revealed by first-principle DFT calculations. For all the minimum-energy configurations, Ge clusters contain 6 12 Ge atoms in the FHUC of a (7 7) unit cell, and the dangling bond state of the center Si adatoms nearby the FHUC is almost empty, indicating charge transfer of neighboring Si adatoms. Figure 10(e) shows the projected electronic density of states (local density of states, DOS) onto the center Si adatom in an adjacent UHUC before and after the formation of a nine-Ge cluster in an FHUC, see the minimum-energy configuration in Figure 10(f). For clean Si(111)-7 7 surface before Ge deposition, the dangling bond state of the center Si adatom is partially occupied and crosses the Fermi level [80, 88, 89]. After the formation of Ge clusters, the occupation of the dangling-bond state is reduced significantly, confirming a charge transfer from the central Si adatom. Such a charge transfer occurs because it can lower the total energy of the system. Self-assembled clusters of various metals formed on Si(111)-7 7, which have similar network as Ge clusters, have been reported [24, 27, 28, 90–92]. Several groups suggested that the interaction between the substrate and the metal clusters might play a role for the self-organization [24, 27, 28], and other researchers had emphasized the interaction between the clusters themselves [93]. Charge transfer and its role have not been reported before.

When local coverage is higher, a second Ge clusters may form at the center of an UHUC adjacent to an FHUC already containing a Ge cluster, as shown in Figures 10(c) and 10(d). Similar to the first one, the second Ge cluster darkens the center Si atoms in the two neighboring FHUCs in the filled-state image (Figure 10(c)), which again indicate charge transfer, though the charge transfer is not as effective as in the UHUC. Charge transfer helps us understand the formation of a cluster in an UHUC nearby an existing particle in a FHUC, and further explain the evolution of Ge cluster patterns from isolated one to closed hexagonal patterns [94].

The above results show that a new cluster forms adjacent to an existing FHUC cluster in a neighboring UHUC, and electron transfer occurs from the two new surrounding FHUCs. The two clusters remain distinct with a “dimer wall” separating them as shown in Figure 9(h). First-principle calculations confirm the depletion of charge associating with the dangling bonds of center Si adatoms in the three UHUCs surrounding a Ge cluster in an FHUC, and also a decrease in electronic energy by such a charge transfer. The energy gain can be attributed to “local Madelung energy”, which is used in determining the energy of a single ion in a crystal.

Assuming that the amount of charge transferring from any of the center Si adatom is the same , then a single cluster has a central charge of (Figure 9(f)). The total energy is lowered by a local Madelung energy of the cluster, that is roughly , where (11 Å) is the distance between the Ge clusters and an adjacent Si adatom that has been depleted of charge, and (19 Å) is the distance between two such Si adatoms. Because is smaller than , the local Madelung energy is negative . When a second cluster forms in an adjacent UHUC, as in Figure 9(h), the charge on each cluster is reduced from to and the local Madelung energy is approximately , where ( Å) is the distance between the two Ge clusters. The local Madelung energy in the Ge cluster pair is smaller than that of single cluster. The reduction in the Madelung energy is used to overcome the factors that inhibit the formation of isolated clusters in UHUCs, and the residual Madelung energy stabilizes the cluster pair. The energy is substantial, and from the DOS curves of Figure 10(e), we estimate (0.3–0.5) , whereby the Madelung energy stabilizing a pair is 0.5–1.3 eV. With the emergence of new Ge clusters, the net charge on each Ge cluster decreases gradually from in the case of an isolated cluster to , , , , and finally if a complete isolated hexagon is formed as in the schematic of Figures 9(f)–9(k), and the effective Madelung energy per cluster also gradually reduces. So the reduction of the local Madelung energies contributes to the stabilization of the local cluster structures. Thus here we quantitatively revealed how the charge transfer sustains the evolution of cluster patterns from isolated ones to ordered hexagonal arrays.

##### 2.4. Formation of Ge Islands and Ge-Si Intermixing at High Temperature

The further increase of the substrate temperature causes the coarsening of clusters and intermixing between Ge and Si atoms, which is believed to be due to the enhancing mobility of Ge atoms [43, 44]. When the substrate temperature is increased to about 300 or even higher temperature, the Ge islands begin epitaxial growth. Deposition of Ge atoms on Si(111)-7 7 at room temperatures following by annealing treatment also results in 2D extended Ge islands. Figure 11(a) shows a typical surface morphology of a Ge island with submonolayer Ge coverage. There are three distinct features in this image. First, the reconstruction of the island is (7 7), same as the configuration of original substrate, see the close-up STM image in Figure 11(c). Second, the dimer directions of the Ge island are same as that of the substrate which, revealing the supercell of Ge island, has the same alignment as the substrate. Third, the shape of Ge islands is usually close to triangle, similar to the shape of HUC triangle of the substrate. All these features reveal the modulation effect of the substrate to the epitaxy growth of Ge islands.

During the growth of an island, the substrate (7 7) reconstruction has to be removed and the surface Si atoms will rearrange to the bulk (1 1) structure [95]. It needs to overcome different energy barriers for the removal of the reconstruction in the UHUCs and in the FHUCs [96]. In the UHUC triangles, only the atoms in the topmost layer rearrange, which is associated with a relatively low-energy barrier. However, in the FHUC triangles, the removal of the stacking faults (see the schematic in Figure 1) in the deeper layer below the adatoms is associated with a larger energy barrier. The activation barrier for Ge overgrowth in the FHUCs is clearly higher than in the UHUCs. Thus, the edges of Ge island are comprised of UHUC triangles and surrounded by FHUC triangles of the substrate, as shown in Figures 11(c) and 11(d).

Figure 11(b) is the schematic drawing for the Ge island on (7 7) reconstruction. FHUC triangles surrounding the Ge island as a high-energy barrier hinder the further growth in them. Ge will nucleate on the UHUC triangle near the FHUC triangle, as denoted by the black arrow in Figure 11(b), where it has low energy barrier. The energy barrier of FHUC triangle will be reduced by a gain of edge energy, thus the FHUC triangle between the island edge and the UHUC triangle with Ge nucleation will be attached by epitaxy Ge atoms. As a result, the Ge island shows a lateral growth model along its edge, and the shape of Ge islands usually is triangle, which is due to the modulation by the substrate reconstruction.

Figures 11(c) and 11(d) show the island involving in several domains with two different reconstructions, (7 7) and (5 5). The domain boundaries (defect area) are very clear. Their formation is due to the strains between the substrate and the Ge epitaxy island. The defects on the substrate (like the missing of adatoms and vacancies) will deform the period of (7 7) reconstruction and give rise to strain [47, 97]. In addition, the mismatch of the lattice constant of Ge and Si (Ge is 4% larger than Si) will also bring strain. The strains can be effectively released by the formation of the domain boundaries and the different kinds of reconstruction such as the (7 7) and (5 5) domains shown here.

The (5 5) reconstruction also can be described by DAS model [53, 68], as the model shown in Figure 1 for the (7 7). Each (5 5) unit cell includes one triangle FHUC and one UHUC, and there are three adatoms and one rest atom distributing on the topmost layer in each HUC.

The close-up filled-state STM images in Figures 11(e) and 11(f) show an irregular distribution of brighter adatoms in (7 7) unit cell. The arrangement of adatoms, however, is very regular on pure Si(111)-7 7 surface, where the adatoms in the FHUC are imaged brighter than the adatoms in the UHUC, and the corner adatoms are brighter than the center adatoms in both FHUC triangle and UHUC triangle [98]. Here, the brightness and contrast features between adatoms disappear. In Figures 11(e) and 11(f), the corner (or center) adatoms in the same HUC show different brightness, and even some spots at the center adatoms sites are bright close to that of the spots at the corner adatoms sites, so it clearly suggests the mixing condition of Ge and Si atoms. According to the contrast feature of single Ge atoms on Si surface at very low coverage (Figure 5), the brighter protrusions at the center adatoms sites in Figure 11(e) are Ge atoms, and the dimmer ones are Si atoms. These observations are coincided with the findings reported in the earlier literatures [81, 82, 99, 100], where the Ge-Si exchange in Si(111)-5 5 Ge reconstructions has been proposed. Most recent results by Voigtländer et al. provided evidences for the exchange and intermixing of Ge/Si in Si(111)-7 7 surface at high temperatures by their special techniques [43, 44]. They showed the chemical contrast images between Si and Ge in their STM observations (Ge is much brighter than Si) obtained on Bi-covered Ge/Si(111) surfaces. Thus, the Ge-Si exchanging and intermixing happen at high temperature, and play an important role in the epitaxial growth of Ge islands.

In our high-temperature deposition experiments, when Ge coverage keeps at the range of 0.2 to 0.5 ML, a novel local reconstruction with an ordered arrangement of Ge atoms on the Si(111) surfaces is obtained. Figure 12 shows the STM images of such Ge-induced reconstruction, which coexists with the Si(111)-7 7 reconstruction. The local reconstruction emerges not only inside the Ge island (Figure 12(a)) but also inside the original (7 7) surface (Figure 12(b)). The triangle domain runs over 30 nm in edge length. The close-up image in Figure 12(c) illustrates the local atomic structure with a hexagonal arrangement. The atomic density is higher than the normal (7 7) reconstruction and the orientation of atom rows is different from the surrounding (7 7) lattice alignment. The distance between the neighbor atoms is 0.65 0.01 nm, that is, about times the length of the basis vector (0.38 nm) for the ideal bulk-terminated Si(111)-1 1 unit cell. In addition, we measured the angle between the main direction of the new local reconstruction and the boundary of the nearby (7 7) unit cells and found it to be . Thus, the local reconstruction shows a arrangement.

The appearance of images in Figures 12(a) and 12(b) demonstrates that Ge-induced reconstruction replaces some of the (7 7) unit cells, and it does not cover the whole surface or the whole island. The local Ge nanostructures thus coexist with the Si(111)-(7 7) reconstruction. In addition, several dimmer features at some atom positions exist within the reconstruction (Figure 12(c)), suggesting that Si atoms are mixed with the Ge atoms.

The schematic in Figure 12(d) shows the atomic arrangement of the domain surrounded by the FHUC triangles of (7 7) unit cells. As the above-mentioned analysis for the similar structure of Ge island boundary in Figure 11(b), removing the reconstruction of the FHUC triangles requires to overcome a larger energy barrier [96]. The activation energy for atom rearrangement in FHUC halves is higher than that in UHUC halves. Thus, the domain propagates energy preferentially in UHUC triangles.

We further go inside the
bonding structure of the local arrangement with
support from the first-principle calculations. When
the top-layer atoms form a reconstruction on Si(111), the
underlying substrate changes its original (7 7)
reconstruction to (1 1) arrangement.
On an ideal unreconstructed Si(111) surface, there are two types of threefold
symmetric adsorption sites, known as T_{4}, a filled position directly
above a second-layer Si atom and H_{3}, a hollow site above a
fourth-layer Si atom sites [88, 90], as shown in Figure 12(e). The adsorbed
atoms at either T_{4} or H_{3} sites are bonded to three
first-layer Si atoms. When the dangling bonds of all the first-layer Si atoms
are saturated in this way, the adsorbed atoms form a reconstruction. Such a
reconstruction could also be formed when the adsorbed atoms occupy the
so-called S_{5} site (Figure 12(e)), in which
an adsorbed atom substitutes a second-layer Si atom while the replaced Si atom
is at the T_{4} site directly above S_{5} [16, 101, 102]. Our
collaborators have performed the first-principle DFT calculations for a reconstruction. In the case of
the Ge-S_{5} configuration, Ge or Si forms
an adlayer with a Ge coverage of 1/3 monolayer for each of the three bonding
configurations [103].

The calculations show that the T_{4} configuration is the most
stable structure. Its total energy is lower than both the H_{3} and the S_{5} configurations by 0.60 and
0.68 eV per unit cell, respectively. This is consistent with the general
picture that the adatoms prefer to occupy the sites on almost all of the
Si(111)- surfaces induced by
chemisorptions of groups III, IV, and V atoms [101]. The occurrence of Ge atoms
in the subsurface substitutional S_{5} sites is usually
adopted by small atoms such as boron and carbon [104–107], and is energetically
unfavorable. Occupation of a Ge atom at the subsurface S_{5} site would introduce
significant strain energy due to its larger size than Si. In addition, for the
Ge-S_{5} configuration, fully
filled Ge-associated bands do not warrant a charge transfer from the Si
dandling bond to the subsurface to decrease the surface energy as observed in
the boron-induced S_{5} configuration [108].
Therefore, Ge atoms would prefer to stay on the surface. While the underlying
substrate supporting the Ge-induced structure has an
unreconstructed Si(111) configuration, and significant structural relaxation is
also found.

#### 3. Conclusions

Firstly, we reported UHV-STM experiments and first-principle total energy calculations which are combined to determine the STM images of Si(111)-77 surface. Both the rest atoms and adatoms were observed simultaneously with high contrast by using the conventional W tips. The emergence of the rest atoms was dependent on the sample bias voltage. The rest atom spots could be visible at the bias voltages less than −0.7 V, and their brightness is even comparable to that of the center Si adatoms when the voltage is less than −0.9 V. The possible explanations for the visibility of rest atoms in our STM images were discussed and a very sharper tip could resolve them, which were enunciated by first-principle calculations.

Secondly, we investigated the structural characterizations and the bonding nature of diverse Ge nanostructures on Si(111)-77 surface at different deposition stages. We performed STM measurements of the adsorption site of single Ge atom on the Si(111)-77 surfaces for a sequence of submonolayer coverages deposited at 150. The observations suggested that individual Ge atoms replaced the so-called Si adatoms rather than being adsorbed directly atop of the Si adatoms. Initially, the replacements were random, but distinct patterns emerged when increasing the Ge coverages, until small clusters are formed on the substrate. The first-principle density-functional calculations revealed that Ge/Si substitution configuration was more energetically favorable and thermodynamically stable than the arrangements of Ge locating at the high-coordination surface sites.

Further deposited Ge atoms generated nanoclusters with varying geometrical configurations. Individual Ge atoms and Ge clusters coexisted on the Si(111)-77 surfaces. Ge nanoclusters gradually produced in both the faulted and unfaulted half unit cells of (77) units with an initial preference in the faulted halves, and ultimately self-organized into the form of well-ordered hexagonal superlattice corresponding to the geometry of one Ge cluster per triangle half unit of original (77) lattice. Charge transfer from Si adatoms to Ge nanoclusters played a key role in the self-organization of the superlattice, which was proved by experimental observations and theoretic calculations.

Two-dimensional extended Ge islands with triangle
shape were formed on the substrate when its temperature was kept at 300 for Ge deposition. The irregular distribution of brighter
topmost adatoms suggested the intermixing status of Ge/Si components in the
islands, and the intermixing ascribed to the exchanging of Ge atoms with the
substrate Si atoms at higher temperatures. Several local domains with different
reconstructions like (55) and arrangements were
found on the substrates. The configuration of the Ge adatoms residing at the T_{4} sites rather than S_{5} or H_{3} positions in the reconstruction was
proposed according to the first-principle calculations.

#### Acknowledgments

The authors are grateful for H. W. Liu, D. X. Shi, and M. C. Xu for experimental assistance, and I. G. Batyrev, W. E. McMahon, S. B. Zhang, A. S. Rao, S. W. Wang, and S. T. Pantelides for theoretic simulations and calculations. This research is supported by the Natural Science Foundation of China (Grants 07JC021N41 and 07JH011N41) and the Chinese National “973” Project.

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