Dynamic Form Factor, Polarizability, and Intrinsic Conductivity of a Two-Dimensional Dense Electron Gas at Zero Temperature

The relaxation function for a two-dimensional dense electron gas is obtained by solving the generalized Langevin equation due to Mori. The dynamic form factor, dynamic polarizability, and conductivity are calculated with use of linear response theory. The conductivity arises from density fluctuations existing at finite wave vectors. The possibility of observing such an effect is considered, especially in the recent work of Allen, Tsui, and DeRossa.