Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model

Details Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model

2007-12-06

arxiv.org/abs/0712.0955v1

Physica E 34 (2006) 596

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Conference proceedings

Scientific paper

10.1016/j.physe.2006.03.037

We study tunneling of weakly-interacting spinless electrons at zero temperature through a single delta-barrier in one-dimensional wires and rings of finite lengths. Our numerical calculations are based on the self-consistent Hartree-Fock approximation, nevertheless, our results exhibit features known from correlated many-body models. In particular, the transmission in a wire of length L at the Fermi level is proportional to $L^{-2\alpha}$ with the universal power $\alpha$ (depending on the electron-electron interaction only, not on the strength of the delta-barrier). Similarly, the persistent current in a ring of the circumference $L$ obeys the rule $I\propto L^{-1-\alpha}$ known from the Luttinger liquid and Hubbard models. We show that the transmission at the Fermi level in the wire is related to the persistent current in the ring at the magnetic flux h/4e.

Affiliated with

Also associated with

No associations

Rating

Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tunneling of interacting one-dimensional electrons through a single scatterer: Luttinger liquid behavior in the Hartree-Fock model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92009