The binding energy for charged excitons ($X^{-}$ 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 $X^{-}$ 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.

• Received 19 December 2007

DOI:https://doi.org/10.1103/PhysRevB.77.205413