Electronic transport through a quantum
wire with leads of higher dimension
P. P. Aseev 1,2
, S. N. Artemenko 1,2
1Kotel'nikov
Institute of Radio-engineering and Electronics
of Russian Academy of Sciences, Moscow
2Moscow
Institute for Physics and Technology
Received November 3, 2011
Abstract. We study theoretically how
interelectron interaction affects an electron transport through contacts of
one-dimensional (1D) conductor with metallic 2D or 3D leads. We consider
spin-polarized electron described by Tomonaga-Luttinger Hamiltonian. We derive
boundary conditions which connect current and charge density at the boundary of
1D conductor with applied ac or dc electric potential. We also derive boundary
conditions for fluctuations. It is shown, that if the contact is not adiabatic
one, then Friedel oscillations of charge density in 1D conductor near the
contact strongly suppress conductivity. The effect is similar to effect of
impurities in 1D electron systems with repulsion. If the applied voltage is
higher than the conductance increases drastically, with dc current being
accompanied by coherent oscillations of frequency .
Key words: quantum wire, boundary
conditions, electron-electron interaction, electron transport.