Transport in a one-dimensional wire connected to leads and proximity effects

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dc.creatorSafi, I.
dc.creatorSchulz, H. J.
dc.date1997-11-10
dc.date.accessioned2026-07-07T03:09:25Z
dc.date.available2026-07-07T03:09:25Z
dc.descriptionWe investigate transport through a finite interacting wire connected to noninteracting leads. The conductance of the pure wire is not renormalized by the interactions for any spatial variation of the interaction parameters $u,K$, and not even for Coulomb interactions restricted to the wire. We rigorously relate the conductance to the transmission, that turns out to be perfect. If $K$ varies abruptly at the contacts, an electron incident on the wire is reflected into a series of partial spatially separated charges which sum up to unity. For attractive interactions, the reflection at the contact is similar to Andreev reflection on a gapless superconductor. This process affects the density-density or pairing correlation functions: they are enhanced on the bulk of the wire as in an infinite Luttinger liquid, then extend to the external noninteracting leads in a way reminiscent of the proximity effect. The effect of impurities is governed by the wire parameter but is affected by the leads close to the contacts. Our results give a possible explanation to recent experiments on quantum wires by Tarucha et al.
dc.description5 pages revtex, one figure. Journ-Ref: "Correlated Fermions and Transport in Mesoscopic Systems", edited by T. Martin, G. Montambaux and J. Tran Thanh Van. Editions Frontieres, Gif-sur-Yvette (1996)
dc.identifierhttps://arxiv.org/abs/cond-mat/9711082
dc.identifierhttp://arxiv.org/abs/cond-mat/9711082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27878
dc.subjectCondensed Matter
dc.titleTransport in a one-dimensional wire connected to leads and proximity effects
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