Band-gap renormalization in photoexcited semiconductor quantum-wire structures in theGWapproximation

We investigate the dynamical self-energy corrections of the electron-hole plasma due to electron-electron and electron-phonon interactions at the band edges of a quasi-one-dimensional (1D) photoexcited electron-hole plasma. The leading-order $\mathrm{GW}$ dynamical screening approximation is used in the calculation by treating the electron-electron Coulomb interaction and the electron–optical-phonon Fröhlich interaction on an equal footing. We calculate the exchange-correlation-induced band-gap renormalization (BGR) as a function of the electron-hole plasma density and the quantum-wire width. The calculated BGR shows good agreement with existing experimental results, and the BGR normalized by the effective quasi-1D excitonic Rydberg exhibits an approximate one-parameter universality.