Volume 64, Number 6, December 2003
|Page(s)||769 - 775|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 November 2003|
Scaling of the conductance in a quantum wire
Institut für Theoretische Physik,
Universität Göttingen Tammannstr. 1,
D-37077 Göttingen, Germany
2 Max-Planck-Institut für Festkörperforschung Heisenbergstr. 1, D-70569 Stuttgart, Germany
Accepted: 6 October 2003
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.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 72.10.-d – Theory of electronic transport; scattering mechanisms / 73.23.-b – Electronic transport in mesoscopic systems
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.