Abstract
The binding energy for charged excitons (${X}^{\ensuremath{-}}$ and ${X}^{+}$) is calculated within the single-band effective mass approximation including effects due to strain for rectangular, triangular, and V-shaped quantum wires. Both ${X}^{\ensuremath{-}}$ and ${X}^{+}$ are found to be bound in rectangular $\mathrm{In}\mathrm{As}∕\mathrm{In}\mathrm{P}$ quantum wires and V-shaped $\mathrm{Ga}\mathrm{As}∕{\mathrm{Al}}_{0.32}{\mathrm{Ga}}_{0.68}\mathrm{As}$ quantum wires. We found an appreciable dependence of the trion binding energy on the size and shape of the quantum wire. We compare with available experimental data.
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