Misfit Dislocations in a Thin Two-Phase Heteroepitaxial Plate

Abstract

The stress state in a thin two-phase heteroepitaxial plate with a misfit dislocation (MD) is analyzed. Components of resulting stresses are the well-known elastic misfit stress field and the recently found stress field for dislocation in a two-phase plate. The latest and total stress fields fulfill all boundary conditions at free surfaces and at the internal boundary of the plate. The MD equilibrium positions in the plate are calculated. According to the coherent-noncoherent transition and MD nucleation in/near the interface the critical parameters of the system are found in the framework of the quasi-equilibrium energetic approach. The results may be utilized analyzing the state of very thin plates with layer thicknesses of about hundred of lattice parameters and studying more thick systems, for example with groups of the MDs.