Polaronic excitons in an unstrained GaAs/AlGaAs quantum wire

Energy spectrum of single excitons in an unstrained GaAs/AlGaAs quantum wire is studied. We perform calculations within the single band effective mass approximation but including band non-parabolicity in the first order approximation. Exciton binding energy, with the inclusion of exciton–phonon interaction, is calculated as a function of wire radius for light-hole and heavy-hole states, and Wannier exciton. The numerical calculations reveal that the influences of phonon on exciton are considerable and should not be neglected especially for narrow wires. The results show that (i) the heavy-hole exciton in a cylindrical quantum wire is more strongly bound than the light-hole exciton, (ii) the corrections to the total mass and reduced mass owing to interaction with the phonons are significant for narrow thin wire and they depend not on only the size of the wire but also the types of the exciton and (iii) the variation of increase in binding energy is observed when non-parabolicity is included and this effect is predominant for the narrow well wires. These results are discussed with the available data in the literature.