Abstract
It has recently been predicted that viscoelastic shear modes should propagate in a two-dimensional (2D) classical electron liquid above a minimum temperature dependent frequency. A 2D electron layer held above a liquid helium substrate is considered in this paper. The contribution of scattering between viscoelastic shear modes of the electron fluid and ripplons on the liquid helium surface to the mobility of electrons is calculated. This contribution explains the differences observed between the existing experimental data and single electron-ripplon scattering calculations quite well. This may be taken as indirect evidence for the existence of viscoelastic shear modes in a 2D electron liquid.
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