Influence of the variations of potential on autolocalization of the   surface electrons over helium in the conditions of quasi - one-dimensionality
  The feature of interaction electrons with neutral matter attracts large attention of physicists many directions. The exchange interaction in particular leads to creating of bubbles - spherical cavities with electron in center. Good object for such study is system of surface electrons formed over surface of dielectric with small permittivity. Investigation of the autolocalization of SE on liquid helium surface attracts high attention, because system is the extremely clear and easily governed. Bubbles have small mobility relatively of free electrons and that is used for monitoring of the transition process. As has recently been investigated the quasi-one-dimensional electrons over liquid helium form the autolocalized states at smaller gas density in compared to 3D and 2D situations. The process significantly depends from a substrate and its quality. The autolocalization of one-dimensional electrons in a gas phase over liquid helium covering a substrate at both situations with or without the potential variations is theme of present study. The features of conductivity in presence of potential variations the authors explain by both the dynamic processes of changing the subsystem energy at appear or disappear electron autolocalization and by thermo-insulation of electron subsystem from thermostat. 
A.V. Smorodin and V.A. Nikolaenko
cond-mat.mes-hall cond-mat.other