General approach to the calculation of elastic properties of axially symmetric quantum dots in nanowires

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.