Elasticity of Axial Nanowire Heterostructures with Sharp and Diffuse Interfaces

We present a theoretical analysis of the elastic properties of lattice-mismatching axial nanowire heterostructurues. In contrast to the previous works, we take into account non-ideal diffuse interfaces between the dissimilar materials, which are often observed in nanowire heterostructures. Another important result is the existence of a maximum of the elastic energy in a double nanowire heterostructure as a function of its height. The obtained results are applicable to a wide range of material combinations and can be used for understanding and controlling the crystal quality and physical properties of nanowire-based heterostructures for different applications.