We obtain the conductance of a system of electrons connected to leads, within
time-dependent density-functional theory, using a direct relation between the
conductance and the density response function. Corrections to the
non-interacting conductance appear as a consequence of the functional form of
the exchange-correlation kernel at small frequencies and wavevectors. The
simple adiabatic local-density approximation and non-local density-terms in the
kernel both give rise to significant corrections in general. In the homogeneous
electron gas, the former correction remains significant, and leads to a failure
of linear-response theory for densities below a critical value.Comment: for resolution of the here published results see Phys. Rev. B 76,
125433 (2007
