The electron g factor of cylindrical GaAs Ga_{1x}Al_{x}As quantum well wires under magnetic fields applied along the wire axis
Abstract
The effects of confinement and magnetic fields on the effective electron Landé g factor of GaAsGa_{1x}Al_{x}As cylindrical quantum well wires are studied. Calculations were carried out via the OggMcCombe effective Hamiltonian which is used to describe the nonparabolicity 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 twodimensional harmonic oscillator wavefunctions. Calculations for the electron g_{\parallel
} factor in GaAsGa_{1x}Al_{x}As 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 nonparabolicity/anisotropy of the conduction band if one is interested in a quantitative understanding of the electron g factor in GaAsGa_{1x}Al_{x}As quantum well wires.
 Publication:

Journal of Physics Condensed Matter
 Pub Date:
 April 2008
 DOI:
 10.1088/09538984/20/17/175204
 Bibcode:
 2008JPCM...20q5204L