The electron g factor of cylindrical GaAs Ga1-xAlxAs quantum well wires under magnetic fields applied along the wire axis

The effects of confinement and magnetic fields on the effective electron Landé g factor of GaAs-Ga_1-xAl_xAs cylindrical quantum well wires are studied. Calculations were carried out via the Ogg-McCombe effective Hamiltonian which is used to describe the non-parabolicity and anisotropy effects on the electron states in the conduction band. The applied magnetic field is taken along the wire axis, and the Schrödinger equation corresponding to electron spin projections parallel and antiparallel to the magnetic field is solved by using an expansion of the electron wavefunctions in terms of two-dimensional harmonic oscillator wavefunctions. Calculations for the electron g_{\parallel

} factor in GaAs-Ga_1-xAl_xAs cylindrical quantum well wires are compared with results from previous theoretical work. Moreover, the present results clearly indicate the importance of taking into account the non-parabolicity/anisotropy of the conduction band if one is interested in a quantitative understanding of the electron g factor in GaAs-Ga_1-xAl_xAs quantum well wires.