Junction of several weakly interacting quantum wires: a renormalization group study
Strongly Correlated Electrons
2009-11-07 v1 Mesoscale and Nanoscale Physics
Abstract
We study the conductance of three or more semi-infinite wires which meet at a junction. The electrons in the wires are taken to interact weakly with each other through a short-range density-density interaction, and they encounter a general scattering matrix at the junction. We derive the renormalization group equations satisfied by the S-matrix, and we identify its fixed points and their stabilities. The conductance between any pair of wires is then studied as a function of physical parameters such as temperature. We discuss the possibility of observing the effects of junctions in present day experiments, such as the four-terminal conductance of a quantum wire and crossed quantum wires.
Cite
@article{arxiv.cond-mat/0206259,
title = {Junction of several weakly interacting quantum wires: a renormalization group study},
author = {Siddhartha Lal and Sumathi Rao and Diptiman Sen},
journal= {arXiv preprint arXiv:cond-mat/0206259},
year = {2009}
}
Comments
RevTeX, 13 pages, including 4 eps figures