Polytypic nanowhiskers: electronic properties in the vicinity of the band edges

The increasing interest of nanowhiskers for technological applications has led to the observation of the zinc-blend/wurtzite polytypism. Polytypic nanowhiskers could also play, by their characteristics, an important role on the design of optical and electronic devices. In this work we propose a theoretical model to calculate the electronic properties of polytypic zinc-blend/wurtzite structure in the vicinity of the band edges. Our formulation is based on the \(\vec{k} \cdot \vec{p}\) method connecting the irreducible representations in the interface of the two different crystalline phases by group theory arguments. Analyzing the composition of the states in the \(\Gamma\) point and the overlap integrals of the envelope functions we predict energy transitions that agree with experimental photoluminescence spectra.