Abstract
The subband structures of a GaAs/Al x Ga 1− x As quantum wire with a triangular cross-sectional shape is analyzed by using a finite-element method based on the multiband effective mass theory. In our procedure, the continuity of the probability current densities expressed in terms of the effective mass tensor is rigorously taken into account at the GaAs/AlGaAs interface. A comparison of the subband structures is also made with those of a quantum wire with a square cross-section. As a result, the band structures of the triangular quantum wire are found to show no degeneracy due to lack of inversion symmetry of the confining quantum potential whereas those of the square wire always show degeneracy.
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