Linear electron chains at superfluid helium surface

The unique one-dimensional system of linear electron chains at liquid helium surface is realized experimentally for the first time. The distortion of the surface of liquid helium covering the profiled dielectric substrate, and the holding electric field confining the electrons to the bottom of the created channels, are used to realize the system. The carrier mobility in the linear electron chains is measured in the temperature range 0.5-1.8 K at holding electric fields up to 1 kV/cm. It is shown that the electron mobility depends on substrate cleanness. For clean substrates the mobility increases with decreasing temperature. The results agree with the existing theory