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.