In dielectrics, distortion polarization of bound charges occurs in response to applied electric field. In metals, free charges produce current in response to applied electric field, but metals have bound charges too.
Do free charges (free electrons) in metals distort bound charge clouds (bound electron clouds) and do external electric fields do the same?
If yes, then do this distorted electron clouds in turn attract free electrons on one side and repel them on the other side?
edit: my question is also about possible transient effects (before equilibrium state).