Conductance of nano-systems with interactions coupled via conduction electrons: effect of indirect exchange interactions

  • Y. Asada
  • A. Freyn
  • J.-L. Pichard
Mesoscopic Physics


A nano-system in which electrons interact and in contact with Fermi leads gives rise to an effective one-body scattering which depends on the presence of other scatterers in the attached leads. This non local effect is a pure many-body effect that one neglects when one takes non interacting models for describing quantum transport. This enhances the non-local character of the quantum conductance by exchange interactions of a type similar to the RKKY-interaction between local magnetic moments. A theoretical study of this effect is given assuming the Hartree-Fock approximation for spinless fermions of Fermi momentum kF in an infinite chain embedding two scatterers separated by a segment of length Lc. The fermions interact only inside the two scatterers. The dependence of one scatterer onto the other exhibits oscillations of period π/kF which decay as 1/Lc and which are suppressed when Lc exceeds the thermal length LT. The analytical results given by the Hartree-Fock approximation are compared with exact numerical results obtained with the embedding method and the DMRG algorithm.


71.27.+a Strongly correlated electron systems; heavy fermions 72.10.-d Theory of electronic transport; scattering mechanisms 73.23.-b Electronic transport in mesoscopic systems 


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© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  • Y. Asada
    • 1
  • A. Freyn
    • 2
  • J.-L. Pichard
    • 2
  1. 1.Department of PhysicsTokyo Institute of TechnologyTokyoJapan
  2. 2.Service de Physique de l'État Condensé (CNRS URA 2464), DSM/DRECAM/SPEC, CEA SaclayGif-sur-Yvette CedexFrance

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