P. Lipavsky et V. Spicka, BACK-FLOW ELECTRIC-CURRENT - DC CURRENT AS A QUADRATIC RESPONSE TO ANAC FIELD, Physical review. B, Condensed matter, 50(19), 1994, pp. 13981-13993
We study the interaction of a running longitudinal wave with a metal.
It is shown within a quadratic response that a single wave creates a d
e electric current even if the creation of electron-hole pairs is proh
ibited. As a consequence, a macroscopic electric current depends on an
instant distribution of bosons, e.g., plasmons. Beside a formal theor
y, two practical formulas are provided: the random phase approximation
formula for a general electron band structure and a general formula f
or a single parabolic band.