Tunneling of Interacting Fermions in 1D Systems

A. Gendiar, M. Moško, P. Vagner and R. Németh Institute of Electrical Engineering, Slovak Academy of Sciences, Dúbravská cesta 9, 841 04 Bratislava, Slovakia

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Received: 4 06 2005;

Using the self-consistent Hartree-Fock approximation for spinless electrons at zero temperature, we study tunneling of the interacting electron gas through a singleδ barrier in a finite one-dimensional wire connected to contacts. Our results exhibit features known from correlated many-body models. In particular, the conductance decays with the wire length as ∝ L-2α, where the power α is universal. We also show that a similar result for a wire conductance can be extracted from the persistent current (I) through the δ barrier in a one-dimensional ring, where it is known that I∝ L-1-α.

DOI: 10.12693/APhysPolA.108.661 PACS numbers:73.23.-b, 73.61.Ey