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

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

Abstract

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 k F in an infinite chain embedding two scatterers separated by a segment of length L c . The fermions interact only inside the two scatterers. The dependence of one scatterer onto the other exhibits oscillations of period π/k F which decay as 1/L c and which are suppressed when L c exceeds the thermal length L T . The analytical results given by the Hartree-Fock approximation are compared with exact numerical results obtained with the embedding method and the DMRG algorithm. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • Y. Asada & A. Freyn & J.-L. Pichard, 2006. "Conductance of nano-systems with interactions coupled via conduction electrons: effect of indirect exchange interactions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 53(1), pages 109-120, September.
    • Handle: RePEc:spr:eurphb:v:53:y:2006:i:1:p:109-120
    DOI: 10.1140/epjb/e2006-00352-1
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