Numerical computation of eigenenergy and intersubband transition energy of GaAs triangular nanowire embedded in AlxGa1−xAs rectangular wire

Abstract

Energy eigenvalues and intersubband transition energies of a triangular quantum wire have been numerically computed by solving time-independent Schrödinger's equation with appropriate boundary conditions using finite difference technique for the lowest three eigenstates. Triangular wire is made of GaAs material, which is embedded in a rectangular wire of AlxGa1−xAs. Composition of AlxGa1−xAs is varied to study energy profile and intersubband transition energies of the wire. Dimensional effect is also studied by varying width and height of the triangular wire. The study is carried out taking into consideration conduction band discontinuity and effective mass mismatch at boundaries. Fine optical tuning for quantum wire laser is possible through proper selection of material composition and dimension of the wire.