General approach to the calculation of elastic properties of axially symmetric quantum dots in nanowires
Kolesnikova A. L.
1,2, Van Tuyen Nguyen
2,3, Gutkin M. Yu.
1,2,4, Romanov A. E.
21Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia
2ITMO University, St. Petersburg, Russia
3Sao Do University, Chi Linh, Hai Duong, Viet Nam
4Peter the Great Saint-Petersburg Polytechnic University, St. Petersburg, Russia
Email: anna.kolesnikova.physics@gmail.com, nguyenvantuyendhsd@gmail.com, m.y.gutkin@gmail.com, alexey.romanov@niuitmo.ru
A general approach to the calculation of elastic fields and energies of quantum dots (QDs) featuring dilatational eigenstrain and positioned along the symmetry axis of a nanowire (NW) is examined. The problem of elastic fields of an infinitely thin dilatational disk buried completely in a matrix in the form of a NW, which is represented by a straight infinitely long elastic cylinder with a constant radius, is solved for this purpose within the classical linear elasticity theory. It is demonstrated how an analytical solution for a dilatational disk may be used to calculate the elastic properties of axially symmetric QDs of various shapes in hybrid QD/NW nanostructures. Keywords: dilatational disk, nanowire, elastic fields, accumulated strain energy, boundary-value problem of elasticity theory.
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