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

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

2005-07-25

arxiv.org/abs/cond-mat/0507571v2

European Physical Journal B 48 (2005) 243

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 6 figures

Scientific paper

10.1140/epjb/e2005-00403-1

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 $L\_\mathrm{C}$. We demonstrate that the effective one-body transmission of the ensemble deviates by an amount $A/L\_\mathrm{C}$ 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 $U \to 0$ and $U \to \infty$. Analogies with the Kondo problem are pointed out.

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