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In order to extend the Landauer formulation of quantum transport tocorrelated fermions, we consider a spinless system in which charge carriersinteract, connected to two reservoirs by non-interacting one-dimensional leads.We show that the mapping of the embedded many-body scatterer onto an effectiveone-body scatterer with interaction-dependent parameters requires to includeparts of the attached leads where the interacting region induces power lawcorrelations. Physically, this gives a dependence of the conductance of amesoscopic scatterer upon the nature of the used leads which is due to electroninteractions inside the scatterer. To show this, we consider two identicalcorrelated systems connected by a non-interacting lead of length$L\_\mathrm{C}$. We demonstrate that the effective one-body transmission of theensemble deviates by an amount $A/L\_\mathrm{C}$ from the behavior obtainedassuming an effective one-body description for each element and the combinationlaw 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 $U \to 0$ and $U \to \infty$. Analogies with the Kondoproblem are pointed out.Comment: 5 pages, 6 figure

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