English

How backscattering off a point impurity can enhance the current and make the conductance greater than e^2/h per channel

Strongly Correlated Electrons 2009-11-07 v1 Mesoscale and Nanoscale Physics

Abstract

It is well known that while forward scattering has no effect on the conductance of one-dimensional systems, backscattering off a static impurity suppresses the current. We study the effect of a time-dependent point impurity on the conductance of a one-channel quantum wire. At strong repulsive interaction (Luttinger liquid parameter g<1/2), backscattering renders the linear conductance greater than its value e^2/h in the absence of the impurity. A possible experimental realization of our model is a constricted quantum wire or a constricted Hall bar at fractional filling factors nu=1/(2n+1) with a time-dependent voltage at the constriction.

Keywords

Cite

@article{arxiv.cond-mat/0207623,
  title  = {How backscattering off a point impurity can enhance the current and make the conductance greater than e^2/h per channel},
  author = {D. E. Feldman and Yuval Gefen},
  journal= {arXiv preprint arXiv:cond-mat/0207623},
  year   = {2009}
}

Comments

7 pages, 2 figures