RENORMALIZATION CONSTANT AND EFFECTIVE-MASS FOR THE 2-DIMENSIONAL ELECTRON-GAS

The renormalization constant and the effective mass for the two-dimensional (2D) interacting electron-gas system are determined as a function of density by evaluating the electron self-energy within the GW approximation. In order to investigate the effect of exchange-correlation interaction systematically, we have employed three types of model local-field correction factors in the dielectric function. We compare our results with those for the 3D electron gas. It is found that the renormalization constant for the 2D electron gas is smaller than that for the 3D system and the effective mass is greater in the 2D system, implying that the Coulomb interaction effect is more pronounced in the 2D than in the 3D system.