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Published online by Cambridge University Press: 28 February 2011
In this work, a new model based on energy balance for heteroepitaxial growth on a patterned substrate and an additional thin buffer layer on top of it has been developed. The structure used in our model is assumed to be GeSi/buffer-Si/patterned-Si and comparisons are made with simple crystalline GeSi/Si. However, the model described here is quite general and can be adopted for any other material systems. Using this model, coupled with experimentally known material constants, the critical layer thickness (hc) of a lattice mismatched heterolayer can be determined for a patterned substrate, having a characteristic “seed pads” size (l), and a buffer layer thickness (hb). The dislocation-free condition under this case is also established.