Thermoelectric properties of the interacting two dimensional electron gas in the diffusion regime

We demonstrate that kinetic coefficients related to thermoelectric properties of the two dimensional electron gas in the diffusive regime are strongly influenced by electron-electron interaction. As an example we consider the thermoelectric coefficients of the diluted two-dimensional electron gas in Si(100) MOSFET's in the presence of charged-impurity scattering. We find that the screening anomaly at $q=2k_F$, also responsible for Friedel oscillations, leads at low electron densities to a large change in the thermoelectric coefficient for the thermopower.