Scaling of the conductance in a quantum wire
Abstract
The conductance G of an interacting nano-wire containing an impurity and coupled to non-interacting semi-infinite leads is studied using a functional renormalization group method. We obtain results for microscopic lattice models without any further idealizations. For an interaction which is turned on smoothly at the contacts we show that one-parameter scaling of G holds. If abrupt contacts are included we find power-law suppression of G with an exponent which is twice as large as the one obtained for smooth contacts and no one-parameter scaling. Our results show excellent agreement with the analytically known scaling function at Luttinger liquid parameter K=1/2 and numerical density-matrix renormalization group data.
Cite
@article{arxiv.cond-mat/0303460,
title = {Scaling of the conductance in a quantum wire},
author = {V. Meden and S. Andergassen and W. Metzner and U. Schollwoeck and K. Schoenhammer},
journal= {arXiv preprint arXiv:cond-mat/0303460},
year = {2009}
}
Comments
5 pages, 5 figures included; contains new results for the conductance in the presence of contacts