Landé g-Factor and Cyclotron Effective Mass in a Cylindrical GaAs Pillbox Under the Influence Of Axis-Parallel Applied Magnetic Field.

We have performed a theoretical study of electronic states, the parallel Landé g-Factor and the cyclotron effective-mass in a quantum dot(QD), assumed to be in the form of a pillbox, in the presence of an uniform magnetic field applied parallel to the pillbox axis. The quantum pillbox is assumed to consist of a finite length cylinder of GaAs material surrounded by vacuum, which corresponds to the infinite confinement model and also by Ga1--xAlxAs which describe the realistic finite potential confinement. The calculations have been performed by using the Kummer confluent hypergeometric functions. This study is performed for different radius and lengths of the cylindrical GaAs pillbox and the limit cases have been study to prove the validity of the model. Our results are in good agreement with previous theoretical results[1] in the limit geometry of a quantum well. [ABSTRACT FROM AUTHOR]