Screening effect on the polaron by plasmons in the field of self-action potential in a planar nanocrystal

We investigate the effect of plasmon screening on the polaron characteristics following the Feynman variational method and find that the screening considerably reduces the polaron characteristics, as plasmon density increases. We establish that the factor contributing to this screening not only depends on the concentration, but also on the anisotropy of the dielectric permittivities, the temperature, and charge as well as on the layer width. The contribution of the surface effects to the total polaron characteristics are exceedingly small and can therefore be safely neglected. The characteristics are found to be strongly dependent on the screen function referred to as the F-function, and when screening parameters vanish this F-function vanishes and the polaron characteristics reduce to the familiar non-screen ones. The decrease of the polaron characteristics with an increase of the screening parameter is not exactly exponential but mimics that of a pseudoatom which has a much more slow decrease.