Scattering of Two‐Dimensional Electron Gas on the Semibounded Three‐Dimensional Electron Gas

Abstract

Abstract From first principles, basing on the averaging of the equation for exact fluctuating distribution functions, the classical kinetic equation is derived for a two‐dimensional electron gas (2DEG), interacting with a random potential of an external system. Using the approximation of a Fermi function with a shifted argument for the 2DEG distribution function the frequencies of energy and momentum relaxation are obtained. In the case of equilibrium external system the frequencies are expressed in terms of the dielectric functions of the 2DEG and external system. Energy and momentum relaxation frequencies of 2DEG, scattered on the three‐dimensional electron gas, are calculated.