Conductance of a Mott Quantum Wire
Mesoscale and Nanoscale Physics
2009-10-30 v2 Strongly Correlated Electrons
Abstract
We consider transport through a one-dimensional conductor subject to an external periodic potential and connected to non-interacting leads (a "Mott quantum wire"). For the case of a strong periodic potential, the conductance is shown to jump from zero, for the chemical potential lying within the Mott-Hubbard gap, to the non-interacting value of 2e^2/h, as soon as the chemical potential crosses the gap edge. This behavior is strikingly different from that of an optical conductivity, which varies continuously with the carrier concentration. For the case of a weak potential, the perturbative correction to the conductance due to Umklapp scattering is absent away from half-filling.
Cite
@article{arxiv.cond-mat/9709013,
title = {Conductance of a Mott Quantum Wire},
author = {Oleg A. Starykh and Dmitrii L. Maslov},
journal= {arXiv preprint arXiv:cond-mat/9709013},
year = {2009}
}
Comments
4 pages, RevTex, 1 ps figure included; published version