On modeling the mechanical behavior of heterostructures with quantum dots

Abstract

The problems on simulation of a stressed-strained state in epitaxial quantum-dot heterostructures with and without coating are considered. Within the framework of the continuum approach, a mechanical-mathematical model of a quantum dot is developed. The stressed-strained state in a heterostructure with a quantum dot located under the coating is simulated within the developed model using the well-known analytical solution to the problem on inclusion of the corresponding shape. An isolated quantum dot in the absence of coating is simulated by a set of elastic dipoles uniformly distributed over the region of elastic half-space matching the quantum dot base. Within the model, the problem on deformation of the quantum-dot heterostructure without coating is analytically solved. The analytical solution is used to analyze the stressed-strained state in the structure under consideration.