Band-gap renormalization in modulation-doped ${\mathrm{In}}_{1-x}{\mathrm{Ga}}_x\mathrm{A}\mathrm{s}/\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}$ V-shaped quantum wires

We have investigated the quasi-one-dimensional electron plasma confined in modulation doping ${\mathrm{In}}_{1-x}{\mathrm{Ga}}_x\mathrm{A}\mathrm{s}/\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}$ V-shaped quantum wires. The band-gap renormalization is extracted from the optical spectra and compared to a suitably developed theoretical model. We find that band-gap renormalization is reduced in one-dimensional systems as compared to quantum wells.