Quantum Confinement Effects in Dynamically Screened Quasi-One-Dimensional Systems

We theoretically study the quantum confinement effects on the self-energies of electrons and holes in quasi-one-dimensional semiconductor systems. It is found that the effective Coulomb interactions are enhanced with the increase in lateral confinement and the decrease in confinement size. The single-particle self-energies of electrons and holes are calculated in dynamic plasmon pole approximation within the GW approximation, where G refers to Green's function and W is the dynamically screened Coulomb interaction. The real and imaginary parts of the self-energies have a strong dependence on the effective Coulomb interactions.