A comparison of Ge/Si wafers after annealing at 200 °C, 300 °C and 400 °C has been performed. Figure 2 a-c shows CSAM pictures of bonded pairs. The black areas represent wafers tightly bonded while the white areas represent bubbles in interface. Almost no bubbles appear at the interface when annealed at 200 °C and 300 °C, except one that was caused by particle contamination. By contrast, when annealed at 400 °C slices separated and large areas of air bubbles are introduced, which is proved to be caused by the segregation of Sn from GeSn in high temperature. As shown in Figure 2d, bonding strengths of the Ge/Si chips were evaluated by die shear test. 0.5 MPa of the Ge/GeSn/Si annealed at 200 °C and 2.13 MPa of the Ge/GeSn/Si annealed at 300 °C were obtained (Because of the abnormal split of the Ge/GeSn/Si at 400 °C, die shear test is not arranged).
The Ge/GeSn/Si wafers annealed at 300 °C has a good bonding strength. Figure 2e is the low-magnification TEM image, with its corresponding EDS mapping shown in Figure 2 f-h. Note that the Sn components are uniformly distributed in the GeSn layer and no segregation is observed on the surface. The average Sn content in the bonded immediate layer extracted from EDS results is about 5% in Figure 2l, which agrees well with the result calculating from sputtering power of the Ge: Sn ratio. For further investigation, Figure 2 i-k reveals the crystallization of a-GeSn thin films by HRTEM. The structural morphology at GeSn cross section can be divided into two regions, the large grained region (region I) and the fine nanocrystalline region (region Ⅱ). In region I, a coherent interface was formed between GeSn film and Ge substrate along the (100) plane. The crystal area of GeSn grains range from 10 to 45 nm in the vertical direction. The SAED result further confirms that the GeSn grains are single crystal with a diamond cubic structure. The average lattice spacing of Ge0.095Sn0.05 was determined to be 0.328 nm, which is relatively close to the lattice spacing of bulk Ge. Comparing with Ge (0.326 nm) substrate, we can conclude the Ge0.095Sn0.05 layer is strained. In region Ⅱ, nucleation near the Si substrate is observed, which will be analyzed in the following.
When the annealing temperature increased to 400°C, the bonded Ge/GeSn/Si wafers separated. Figure 2m shows the exposed GeSn film on Ge substrate after removing the Si slice. Some equilateral triangle dislocation pits along (111) formed, which ranges from 10 to 20 nm in depth confirmed by AFM. It's almost half the thickness of the film. From Figure 2n and 2o, EDS results indicate that defects are formed during high annealing temperature due to the segregation and diffusion of β-Sn toward the film surface. As shown in Figure 2p, the full width at half maximum (FWHM) of Ge-Sn peak from GeSn films decrease with the increase of annealing temperature, close to the substrate peak of Ge. It fully turns to be single-crystal phase at the Ge/Si bonded interface. Moreover, the Ge-Sn peak is very close to the Ge peak, demonstrating that there is only a small amount of Sn atoms remained in Ge atoms matrix. From these results, a-GeSn as wafers bonding interlayer could crystallize after annealing in low temperature. However, annealing at high temperature, Sn tends to segregate from GeSn, leading to a deteriorated interlayer and failed Ge/Si bonding.
To investigate the role of Sn in crystallization, a-Ge as an interlayer of Ge/Si bonding is carried out for comparison (Figure 3a). TEM was also tested in Figure 3b-d. From the fast Fourier transform pattern, the Ge interlayer remains amorphous. No evidence of crystallinity is observed. EDS element mapping of the cross-section is present in Figure 3e-g, demonstrating an interlayer of pure Ge element. The bonding strength is 1.75 Mpa as shown in Figure 3h, which is lower than that of the Ge/GeSn/Si bonding sample. Based on the above results, without the introduction of Sn, a-Ge fails to crystallize at 300 ℃. The crystallization temperature of a-Ge film can be drastically reduced by the introduction of Sn, which further validates the induction of Sn for formatting Ge crystalline grains. The acquired annealing temperature is just a little higher than the melting point of Sn (232 ℃).
Besides, to study the formation mechanism of the nanocrystallites near Si substrate, it is required to exclude the influence of Ge substrate. Two Si/GeSn/Si bonding samples were annealed at 300 and 400 ° C, respectively. Raman spectra of these intermediate layers was collected to evaluate the crystallinity (Figure 4a). The GeSn interlayer of Si/GeSn/Si annealed at 300 ℃ remains amorphous. Bonded samples after annealing at 400℃ were well crystallized; the intense and sharp phonon scattering peak present at 293 cm-1. The blue shift of Ge-Ge phonon scattering can be attributed to Sn atoms replace with Ge[19] as well as in-plane strain ε caused by the thermal mismatch[20] between GeSn and Si substrate. For comparison, the GeSn/Si annealed at 400℃ was prepared. It has two broad phonon scattering peaks, which are the disparity of a-GeSn and Ge in 276 cm-1 and 302 cm−1 due to the disorder in the bond distances, demonstrating an amorphous phase. For further investigation, the Si/GeSn/Si in 400℃ was characterized by CSAM, cross section SEM and bond strength (Figure 4 b-d), revealing that GeSn has good adhesion to the substrate; no Sn segregation is observed even at high temperature. As shown in Figure 4e, a corner of Si/GeSn/Si is cut off by the grinding wheel and milled by focus-ion-beam (FIB). The GeSn intercalation is clearly observed to be sandwiched in the Si wafers. The TEM magnified image revealed the formation of fine nanocrystallites in Figure 4f and 4g. Figure 4h shows a SAED pattern taken from the nanocrystalline region, from which diffraction spots caused by nanocrystallites are visible. Notably, such nanocrystallites are similar to GeSn film near Si of Ge/Si wafers in 300 ℃. Different from the crystallization of GeSn induced by Ge substrate, the crystallization of GeSn between Si substrate is probably induced by stress, which has been reported in previous works [21]. Theoretically, because of the thermal-expansion mismatch between GeSn film and Si wafers, a tensile-strain should be generated during cooling from high temperature to RT.
Considering the difficulty in measuring the strain field in the multilayered structures, finite element mechanical modeling is employed to further investigate the strain field distribution in Ge/GeSn/Si and Si/GeSn/Si. Thermal-structure coupling analysis is carried out on both Si/GeSn/Ge and Si/GeSn/Si through ANSYS Workbench. The deposited a-GeSn film on substrate was assumed to be stress-free before bonding, and the GeSn/Si substrate was bonded onto another Si substrate with a pressure at room temperature (RT). For mechanical boundary conditions, the contact interfaces are bonded and the rest surfaces are set as free expansion. For thermal boundary conditions, the relaxation state at 300 ℃ is set as the initial state, and the RT is set to the final state. The involved material parameters are listed in Table I [22, 23]. The amorphous GeSn immediate layer is assumed isotropic and the coefficient of expansion of GeSn was calculated using linear interpolation[24].
Strain contours of Si/GeSn/Ge is shown in Figure 5a. Vertical enlargement of the bonding structure shows that the intermediate layer has the maximum tensile strain. Si substrate is hided in order to clearly study the normal strain distribution of GeSn film. To further analyze the strain variation in the bond structure, extract the strain along Y-axis as shown in Figure 5b. The GeSn film in the middle is too thin to be seen relative to the 500 μm substrate, so a partial enlargement version of the middle section is shown in the top right corner.
Si/GeSn/Si is simulated in Figure 5c. The simulation steps are similar to that in Ge/Si bonded sample, except that the relaxation state at 400 ℃ is set as the initial state. The maximum thermal strain located at GeSn interface turns to tensile strain in a sudden, while the Si substrate is subjected to a slight compressive strain as in Figure 5d. Box in red is amplified as upper right corner of Figure 5d. Strains on both sides of Si/Si bonded samples are symmetrically distributed, and a large tension strain is calculated in the GeSn layer.
Based on the simulation results, large tensile strain is generated in the interlayer of bonded wafers. For Ge/Si bonded wafers, when annealed at 300℃, the atoms migration is accelerated and nucleation is promoted by Sn, resulting in the formation of GeSn grains. Then, under the influence of Ge substrate, GeSn single crystal was formed along the direction of the minimum free energy. For Si/Si bonded wafers, the strain on both sides is symmetric, which introduced by homogeneous structure. There is no crystallization at 300 ℃ due to the absence of Ge substrate. When annealed in 400℃, Sn is still uniformly distributed, which is conducive to nucleation and nanocrystallites formation. To sum up, the large strain play an important role in triggering the nucleation and atoms rearrangement, facilitating the incorporation of Sn into the Ge layer, and breaking the weaker bonds to reform stronger Ge–Sn bond [25], which contributes to decreasing crystallization temperature.