Electron transport through the contact of quantum wire and 3D electrodes

Abstract

The effect of the electron interaction on the electron transport through the contacts of 1D conductor with 2D and 3D metal electrodes is theoretically studied. The spin-polarized electrons that are described using the Tomonaga-Luttinger Hamiltonian are considered. The boundary conditions for the current and charge density at the boundary of the 1D conductor are derived as functions of the electric potential across electrodes, and the boundary conditions for the fluctuations are obtained. In the case of the nonadiabatic contact, the Friedel oscillations of the charge density that emerge in the vicinity of contact in the 1D system strongly suppress the conduction in the system similarly to the effect of impurities in the systems of 1D electrons with repulsion. When the applied voltage exceeds threshold level Vthr, the conductivity sharply increases and the flow of dc current {ie1218-1} is accompanied by the generation of the current oscillations with the frequency {ie1218-2}.