Influence of electron–electron interaction on the mobility of electrons on the surface of liquid helium

Abstract

The mobility of a two-dimensional electron gas localized on the surface of liquid helium at low temperatures is found by solving the kinetic equation for the electron distribution function. The result for the mobility contains both the electron–ripplon interaction time and the electron–electron scattering time. The theory is valid for an arbitrary relationship between the electron–ripplon and electron–electron interaction times and gives the previously known expressions in the limiting cases. The results are compared with experimental data, and new experiments are proposed which can yield information about the electron–electron interaction.