Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds
| dc.creator | Molina, Rafael A. | |
| dc.creator | Weinmann, Dietmar | |
| dc.creator | Pichard, Jean-Louis | |
| dc.date | 2005-07-25 | |
| dc.date | 2006-01-24 | |
| dc.date.accessioned | 2026-07-07T06:41:25Z | |
| dc.date.available | 2026-07-07T06:41:25Z | |
| dc.description | 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. | |
| dc.description | 5 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0507571 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0507571 | |
| dc.identifier | European Physical Journal B 48 (2005) 243 | |
| dc.identifier | doi:10.1140/epjb/e2005-00403-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101661 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds | |
| dc.type | text |