On modeling the mechanical behavior of heterostructures with quantum dots |
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Authors: | R. V. Goldshtein V. A. Gorodtsov P. S. Shushpannikov |
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Affiliation: | (1) O.O. Chuiko Institute of Surface Chemistry of the National Academy of Sciences of Ukraine, General Naumov St. 17, 03164 Kyiv, Ukraine;(2) Institute of Physics of the National Academy of Sciences of Ukraine, 46 Prospect Nauki, 03028 Kiev, Ukraine;(3) Institute of Physics, NAS of Ukraine, 46 Nauki Avenue, 03164 Kiev, Ukraine;(4) Physics Department, Kiev National Taras Shevchenko University, 2 Acad. Glushkov Ave, 03022 Kiev, Ukraine;(5) Institute of Physics, Montanuniversitaet Leoben, Franz Josef Str. 18, A-8700 Leoben, Austria |
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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. |
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