Platelet-to-Hut Shape Transition Induced by a Square-Base Strained Cluster

概要

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A previous study [C. H. Lin and Y. C. Tsai: Phys. Rev. B 65 (2002) 35324] has shown that the critical cluster volume driving the platelet-to-pyramid transition in the presence of a semi-infinite strained layer should be larger than that in the absence of other clusters due to the interaction between the cluster and an semi-infinite strained layer. For possible experimental setups, we derive an analytic expression for the interaction energy between a truncated hut and a rectangular-base strained cluster with finite size within the framework of linear elasticity theory, and then investigate its effect on a two to three-dimensional (2D-3D) transition. In light of numerical methods, we calculate the interaction energies between a truncated hut with two possible orientations and a square-base strained cluster. The difference in interaction energies between two possible configurations the ridge of the hut parallel or perpendicular to the strained cluster reveals that the former is more stable than the latter. We also obtain the dependence of the aspect ratio of the hut base on the cluster volume with a square base, V_s, with fixed distances between the center of the truncated hut and the near edge of the strained cluster, d_<ce>. The relationships of the cluster critical volume with V_s and d_<ce> are also derived.
2002-10-15