CONDUCTION OF A WEAKLY INTERACTING ONE-DIMENSIONAL ELECTRON-GAS THROUGH A SINGLE BARRIER

Scattering from a localized potential of arbitrary strength is found f or weakly interacting electrons. Poor man's renormalization group proc edure allows us to calculate the renormalized transmission amplitudes at any energies. Simple formulas that describe the conductance at any temperature are derived. In the presence of the electron-electron back scattering, the low-temperature conductance deviates from the results of Luttinger liquid theory. In particular, the temperature dependence of the conductance may become nonmonotonic. In the presence of a magne tic field, backscattering gives rise to a peak in the differential con ductance at bias equal to the Zeeman splitting.