The European Physical Journal B

, Volume 75, Issue 2, pp 253–266

The embedding method beyond the single-channel case

Two-mode and Hubbard chains
  • A. Freyn
  • G. Vasseur
  • P. Schmitteckert
  • D. Weinmann
  • G.-L. Ingold
  • R. A. Jalabert
  • J.-L. Pichard
Mesoscopic and Nanoscale Systems

DOI: 10.1140/epjb/e2010-00153-y

Cite this article as:
Freyn, A., Vasseur, G., Schmitteckert, P. et al. Eur. Phys. J. B (2010) 75: 253. doi:10.1140/epjb/e2010-00153-y

Abstract

We investigate the relationship between persistent currents in multi-channel rings containing an embedded scatterer and the conductance through the same scatterer attached to leads. The case of two uncoupled channels corresponds to a Hubbard chain, for which the one-dimensional embedding method is readily generalized. Various tests are carried out to validate this new procedure, and the conductance of short one-dimensional Hubbard chains attached to perfect leads is computed for different system sizes and interaction strengths. In the case of two coupled channels the conductance can be obtained from a statistical analysis of the persistent current or by reducing the multi-channel scattering problem to several single-channel setups.

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • A. Freyn
    • 1
    • 2
  • G. Vasseur
    • 3
  • P. Schmitteckert
    • 4
  • D. Weinmann
    • 3
  • G.-L. Ingold
    • 5
  • R. A. Jalabert
    • 3
  • J.-L. Pichard
    • 1
  1. 1.Service de Physique de l’État Condensé (CNRS URA 2464), IRAMIS/SPEC, CEA SaclayGif-sur-Yvette CedexFrance
  2. 2.Institut NéelGrenoble Cedex 9France
  3. 3.Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504 (UdS-CNRS)Strasbourg Cedex 2France
  4. 4.Institut für Nanotechnologie, Karlsruher Institut für TechnologieEggenstein-LeopoldshafenGermany
  5. 5.Institut für Physik, Universität AugsburgAugsburgGermany