Abstract
For electrons on thin films of liquid helium, it is possible for significant electron-ripplon coupling to occur. The gas-atom density at finite temperatures (≳ 1 K) is such that significant electron-helium atom scattering occurs. Depending on how thin the helium film is, the electrons can feel localization effects due to gas-atom scattering (or possible substitute roughness). The movement of electrons on the surface would be via tunneling from one localized state to another, or by thermally activated hopping from one state to another. This allows a simple modeling of the localizing potential including the electron-ripplon effects. We find that a type of variable range hopping in this system can lead to a tunneling probability ∼ exp[−(d0d)2] which may explain recent experimental results on the mobility of electrons on thin helium films.
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