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

R. A. Molina, D. Weinmann () and J.-L. Pichard

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 48, issue 2, 243-247

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

Date: 2005
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DOI: 10.1140/epjb/e2005-00403-1

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