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Conductance through a one-dimensional correlated system: Relation to persistent currents and the role of the contacts

2002/09/24 by Rafael A. Molina, Dietmar Weinmann, Rodolfo A. Jalabert +4 · 42 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Condensed matter physics #Conductance #Conductance quantum #Electron #Graphene research and applications #Materials science #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum point contact #Quantum well #Sample (material) #Scaling #Scaling law #Thermodynamics #cond-mat.dis-nn #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.67.235306

published in Physical review. B, Condensed matter 67(23) (American Physical Society) · 4 pages, 4 figures, RevTeX4

arxiv created 2002/09/24 · openalex publication_date 2003/06/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Based on a recent proposal [O.P. Sushkov, Phys. Rev. B 64, 155319 (2001)], we relate the quantum conductance through a sample in which electrons are strongly correlated to the persistent current of a large ring, composed of the sample and a noninteracting lead. A scaling law in the lead length allows to extrapolate to a well-defined value of the conductance, depending only on intrinsic properties of the sample and the nature of the contacts between the sample and the lead. For strongly disordered samples, the conductance is found to be enhanced by the interaction.

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