Resonant Tunneling and Persistent Current of a Non-interacting and Weakly Interacting One-dimensional Electron Gas
Abstract
The persistent current for a one-dimensional ring with two tunnel barriers is considered in the limit of weakly interacting electrons. In addition to a small off-resonance current, there are two kinds of resonant behavior; (i) a current independent of the barrier transparency (true resonance) and (ii) a current analogous to the one for a ring with only a single barrier (``semi''-resonance). For a given barrier transparency one or the other type of resonant behavior is realized depending on a geometric factor (ratio of interbarrier distance to ring circumference) and on the strength of the electron-electron interaction. It is shown that a repulsive interaction favours the``semi''-resonance behavior. For a small barrier transparency the ``semi''-resonance peaks are easily washed out by temperature whereas the true resonance peaks survive.
Keywords
Cite
@article{arxiv.cond-mat/9704151,
title = {Resonant Tunneling and Persistent Current of a Non-interacting and Weakly Interacting One-dimensional Electron Gas},
author = {I. V. Krive and P. Sandström},
journal= {arXiv preprint arXiv:cond-mat/9704151},
year = {2008}
}
Comments
8 pages, RevTex, 3 figures, submitted to Phys. Rev. B