Optical matrix elements in [hhk]-oriented quantum wires

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Abstract
Optical matrix elements in quantum wires (QWIs) are theoretically investigated as functions of wire crystallographic direction taking the valence-band anisotropy into account. Calculations are performed analytically for GaAs cylindrical QWIs with infinite barriers. It is shown that the optical matrix element for light polarized to the wire direction shows weak dependence on the wire direction. On the other hand, the valence-band anisotropy causes strong dependence on the wire direction for light polarized to the perpendicular directions, and large in-plane optical anisotropy appears for [110]- and [112]-oriented QWIs. It is found that consideration of the valence-band anisotropy is important for estimation of optical polarization properties in QWIs.