Mobility and localization of carriers in a quasi-one-dimensional electron system over liquid helium

The conductivity and mobility of carriers in a quasi-one-dimensional electron system over liquid helium has been measured in the temperature range of 0.5-1.8 K in holding electric fields up to 2.5 kV/cm. The system of quasi-one-dimensional channels was realized using high-quality optical diffraction gratings. The gratings were placed at a certain height h above the surface of liquid helium which capillary forces made flow in the grooves of the gratings thus creating liquid channels. It is shown that the mobility of electrons decreases with increasing h, the value of the mobility is lower than that for bulk helium. The mobility increases with lowering temperature and begins to decrease on having passed the maximum. The effects revealed are attributed to localization of carriers in quasi-one-dimensional electron systems.