N03 – Band structures in highly strained 3D nanowires

We mathematically derive a new nonlinear strain model to simulate the conduction and valence bands in highly bent 3D hexagonal nanowires with GaAs core and asymmetric (Al_αIn_1-α)As stressor. The model is based on a transformation of the 1st Piola-Kirchhoff stress tensor and an appropriate energy functional that captures the dynamics of the induced strain due to lattice number mismatch. Finally, we solve PDE model via the finite element method and use the strain profiles as input to a k · p simulation tool to compute the energy bands.