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The transport in a pure one-dimensional quantum wire is investigated for any range of interactions. First, the wire is connected to measuring leads. The transmission of an incident electron is found to be perfect, and the conductance is not…

Strongly Correlated Electrons · Physics 2009-10-30 Ines Safi

The conductance of one-dimensional interacting electron systems is calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in which the Kubo formula was used, the conductance is directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Akira Shimizu

The conductance of single molecule junctions is calculated using a Landauer approach combined to many-body perturbation theory MBPT) to account for electron correlation. The mere correction of the density-functional theory eigenvalues,…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 T. Rangel , A. Ferretti , P. E. Trevisanutto , V. Olevano , G. -M. Rignanese

We show that the Landauer multi-terminal formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Giovanni Vignale , Massimiliano Di Ventra

We have implemented the linear response approximation of a method proposed to compute the electron transport through correlated molecules based on the time-independent Wigner function [P. Delaney and J. C. Greer, \prl {\bf 93}, 36805…

Other Condensed Matter · Physics 2008-10-07 Ioan Baldea , Horst Koeppel

In a recent paper [I.\ B\^aldea and H.\ K\"oppel, \prb {\bf 78}, 115315 (2008)], we showed that a variational approach [P.\ Delaney and J.\ C.\ Greer, \prl {\bf 93}, 036805 (2004)] proposed to compute the electron transport through…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 Ioan Baldea , Horst Köppel

Recent electronic transport experiments using metallic contacts attached to proteins identified some 'stylized facts' which contradict conventional wisdom that increasing either the spatial distance between the electrodes or the temperature…

Disordered Systems and Neural Networks · Physics 2019-09-04 Eszter Papp , Dávid P. Jelenfi , Máté T. Veszeli , Gábor Vattay

The Landauer transport formulation is generalized to the case of a dynamic scatterer with an arbitrary energy level structure, weakly coupled to a long ideal noninteracting wire. The two-terminal linear conductance of the device is…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yoseph Imry , Ora Entin-Wohlman , Amnon Aharony

Within the framework of the scattering matrix formalism the nonlinear Kubo theory for electron transport in the metal with a tunnel barrier has been considered. A general expression for the mean electrical current was obtained. It…

Statistical Mechanics · Physics 2018-02-07 E. E. Zubov

All density functional calculations of single-molecule transport to date have used continuous exchange-correlation approximations. The lack of derivative discontinuity in such calculations leads to the erroneous prediction of metallic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Toher , A. Filippetti , S. Sanvito , Kieron Burke

In this paper we address the topic of inelastic electron scattering in mesoscopic quantum transport. For systems where only elastic scattering is present, Landauer theory provides an adequate description of transport that relates the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

We report the inclusion of electron-electron correlation in the calculation of transport properties within an ab initio scheme. A key step is the reformulation of Landauer's approach in terms of an effective transmittance for the…

Strongly Correlated Electrons · Physics 2009-11-10 A. Ferretti , A. Calzolari , R. Di Felice , F. Manghi , M. J. Caldas , M. Buongiorno Nardelli , E. Molinari

The effect of the exchange-correlation potential in ab initio electron transport calculations is investigated by constructing optimized effective potentials (OEP) using different energy functionals or the electron density from second-order…

Mesoscale and Nanoscale Physics · Physics 2009-08-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

Current quantum noise can be pictured as a sum over transitions through which the electronic system exchanges energy with its environment. We formulate this picture and use it to show which type of current correlators are measurable, and in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Gavish , Y. Imry , Y. Levinson

We generalize the Landauer formula to describe the dissipative electron transport through a superconducting point contact. The finite-temperature, linear-in-bias, dissipative DC conductance is expressed in terms of the phase- and…

Superconductivity · Physics 2019-08-14 Sergey S. Pershoguba , Thomas Veness , Leonid I. Glazman

We investigate finite temperature corrections to the Landauer formula due to electron-electron interaction within the quantum point contact. When the Fermi level is close to the barrier height, the interaction is strongly enhanced due to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Sloggett , A. I. Milstein , O. P. Sushkov

A minimal model for coherent transport through a donor/acceptor molecular junction is presented. The two donor and acceptor sites are described by single levels energetically separated by an intramolecular tunnel barrier. In the limit of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Florian Pump , Gianaurelio Cuniberti

The accuracy of the noninteracting electron approximation is examined for a model of vibrationally coupled electron transport in single molecule junction. In the absence of electronic-vibrational coupling, steady state transport in this…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Haobin Wang , Michael Thoss

The Landauer formula for dissipationless conductance lies at the heart of modern electronic transport, yet it remains without a clear microscopic basis. We analyze the Landauer formula microscopically, and give a straightforward quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mukunda P. Das , Frederick Green

We propose a Landauer-like theory for nonlinear transport in networks of one-dimensional interacting quantum wires (Luttinger liquids). A concrete example of current experimental focus is given by carbon nanotube Y junctions. Our theory has…

Strongly Correlated Electrons · Physics 2009-11-07 S. Chen , B. Trauzettel , R. Egger
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