Mobility of electrons in a quasi-one-dimensional conducting channel on the liquid-helium surface.

Abstract

The mobility of electrons in a quasi-one-dimensional channel on the surface of liquid helium is studied theoretically at temperatures lower than 1.5 K. The influence on the mobility due to the electron-ripplon interaction and to the electron scattering from helium atoms in the vapor phase is investigated. The nonmonotonic temperature dependence of the mobility below 0.5 K is attributed to the contribution coming from the matrix elements of the scattering operators between different subbands due to the confinement of the electron motion along the channel. It is shown that the results taking electron-electron correlations into account in the complete control approximation differ significantly from the results in the usual one-electron approximation. This allows us to check the role of electron correlations in quasi-one-dimensional electron systems by comparing the theoretical temperature dependence of the mobility with the experimental data.