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Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds

Author

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  • R. A. Molina
  • D. Weinmann
  • J.-L. Pichard

Abstract

In order to extend the Landauer formulation of quantum transport to correlated fermions, we consider a spinless system in which charge carriers interact, connected to two reservoirs by non-interacting one-dimensional leads. We show that the mapping of the embedded many-body scatterer onto an effective one-body scatterer with interaction-dependent parameters requires to include parts of the attached leads where the interacting region induces power law correlations. Physically, this gives a dependence of the conductance of a mesoscopic scatterer upon the nature of the used leads which is due to electron interactions inside the scatterer. To show this, we consider two identical correlated systems connected by a non-interacting lead of length L C . We demonstrate that the effective one-body transmission of the ensemble deviates by an amount A/L C from the behavior obtained assuming an effective one-body description for each element and the combination law of scatterers in series. A is maximum for the interaction strength U around which the Luttinger liquid becomes a Mott insulator in the used model, and vanishes when U ↦0 and U ↦∞. Analogies with the Kondo problem are pointed out. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • R. A. Molina & D. Weinmann & J.-L. Pichard, 2005. "Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 48(2), pages 243-247, November.
  • Handle: RePEc:spr:eurphb:v:48:y:2005:i:2:p:243-247
    DOI: 10.1140/epjb/e2005-00403-1
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