Transfer matrix method solving interface optical phonons in wurtzite core-multishell nanowires of III-nitrides

Within the framework of dielectric continuum and Loudon’s uniaxial crystal models, the transfer matrix method (TMM) is developed to investigate interface optical phonons (IOPs) in cylindrical wurtzite core-multishell nanowires (CMSNWs) consisting of ternary mixed crystals (TMCs). The IOPs in GaN/InxGa1-xN/InyGa1-yN and GaN/InxGa1-xN/InyGa1-yN/InzGa1-zN CMSNWs are calculated as examples. The results show that there may be several types of IOPs existing in certain frequency regions in CMSNWs for a given component due to the phonon dispersion anisotropy in wurtzite nitrides. The IOPs are classified by possible combinations of the interfaces in CMSNWs. Furthermore, the dispersion relations and electro-static potentials of each kind of IOPs are discussed in detail. The dispersion relations of IOPs in CMSNWs is found to be the combination of that in each nearest two layer CSNW. It can explain the fact that the total branch number of IOPs obey the 2n rule. It is also found that the peak positions of electro-static potentials are decided by the layer component order from the inner layer to outside in CMSNWs. The results indicate that TMM for IOPs is available and can be commodiously extended to other cylindrical wurtzite III-nitride CMSNWs. Based on this method, one can further discuss the IOPs related photoelectric properties in nitride CMSNWs consisting of TMCs.