Analysis of electron confinement in GaN/AlxGa1−xN quantum wire nanostructure

Schrödinger equation in two dimensions has been solved to realize the electron confinement and spread of wave function in quantum wire nanostructure. Using transfer matrix method (TMM), eigen energy has been evaluated for different wire widths and aluminum mole fraction. It has been observed that for increasing aluminum composition, eigen energy increases. For aluminum mole fraction of 10% eigen energy was 0.02139 eV and for aluminum mole fraction of 30%, it was got increased to 0.0325 eV with wire dimensions of 10 nm. It has been analyzed from the results that the increasing aluminum mole fraction in the barrier region increases the wave function intensity in the wire region.