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Residual conductance of correlated one-dimensional nanosystems: A numerical approach

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Abstract.

We study a method to determine the residual conductance of a correlated system by means of the ground-state properties of a large ring composed of the system itself and a long non-interacting lead. The transmission probability through the interacting region, and thus its residual conductance, is deduced from the persistent current induced by a flux threading the ring. Density Matrix Renormalization Group techniques are employed to obtain numerical results for one-dimensional systems of interacting spinless fermions. As the flux dependence of the persistent current for such a system demonstrates, the interacting system coupled to an infinite non-interacting lead behaves as a non-interacting scatterer, but with an interaction dependent elastic transmission coefficient. The scaling to large lead sizes is discussed in detail as it constitutes a crucial step in determining the conductance. Furthermore, the method, which so far had been used at half filling, is extended to arbitrary filling and also applied to disordered interacting systems, where it is found that repulsive interaction can favor transport.

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Authors and Affiliations

  1. CEA/DSM, Service de Physique de l’État Condensé, Centre d’Études de Saclay, 91191, Gif-sur-Yvette, France

    R. A. Molina & J.-L. Pichard

  2. Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128, Karlsruhe, Germany

    P. Schmitteckert

  3. Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504 (CNRS-ULP), 23 rue du Loess, BP 43, 67034, Strasbourg Cedex 2, France

    D. Weinmann & R. A. Jalabert

  4. Institut für Physik, Universität Augsburg, Universitätsstraße 1, 86135, Augsburg, Germany

    G.-L. Ingold

  5. Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, 95031, Cergy-Pontoise Cedex, France

    J.-L. Pichard

Authors
  1. R. A. Molina
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  2. P. Schmitteckert
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  3. D. Weinmann
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  4. R. A. Jalabert
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  5. G.-L. Ingold
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  6. J.-L. Pichard
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Corresponding author

Correspondence to R. A. Molina.

Additional information

Received: 19 January 2004, Published online: 18 June 2004

PACS:

73.23.-b Electronic transport in mesoscopic systems - 71.10.-w Theories and models of many-electron systems - 05.60.Gg Quantum transport - 73.63.Nm Quantum wires

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Molina, R.A., Schmitteckert, P., Weinmann, D. et al. Residual conductance of correlated one-dimensional nanosystems: A numerical approach. Eur. Phys. J. B 39, 107–120 (2004). https://doi.org/10.1140/epjb/e2004-00176-y

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  • DOI: https://doi.org/10.1140/epjb/e2004-00176-y

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