Abstract
Spin and orbital properties of electrons in $\text{GaAs}/{\text{Ga}}_{1\ensuremath{-}x}{\text{Al}}_{x}\text{As}$ superlattices (SLs) in an external longitudinal and transverse magnetic field are considered. A five-level $\mathbf{P}\ensuremath{\cdot}\mathbf{p}$ model of the band structure is used, accounting for nonparabolicity and nonsphericity of the conduction band in III-V compounds as well as their inversion asymmetry. The electron-spin $g$ values are computed as functions of superlattice spacings. It is shown that, in the transverse-field configuration, the $g$ value is different for various electron locations in an SL. Transverse and longitudinal cyclotron masses are calculated and compared with available experimental data for various $\text{GaAs}/{\text{Ga}}_{1\ensuremath{-}x}{\text{Al}}_{x}\text{As}$ SLs. Finally, orbital electron states in short SLs in a transverse magnetic field are described for different field intensities. In addition to the standard Landau levels unexpected states are found whose energies have a strong quadraticlike field dependence. The origin of the states is investigated.
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