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We develop a new numerical method to calculate the Landauer conductance through an interacting electron system in the first order perturbation or in the self-consistent Hartree-Fock approximation. It is applied to one and two dimensional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Asada

The role of exchange-correlation effects in non-equilibrium quantum transport through molecular junctions is assessed by analyzing the IV curve of a generic two-level model using self-consistent many-body perturbation theory (second Born…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kristian S. Thygesen

Theoretical foundations of electron transport in mesoscopic systems, based on Landauer theory, Master equations or Onsager linear thermodynamics, are revisited to show that the noniteracting electrons model is insufficient to describe…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Robert Alicki

Redox molecular junctions are molecular conduction junctions that involve more than one oxidation state of the molecular bridge. This property is derived from the ability of the molecule to transiently localize transmitting electrons,…

Mesoscale and Nanoscale Physics · Physics 2013-06-21 Agostino Migliore , Abraham Nitzan

Theoretical approaches of electronic transport in correlated molecules usually consider an extended molecule, which includes, in addition to the molecule itself, parts of electrodes. In the case where electron correlations remain confined…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Ioan Baldea , Horst Koppel , Robert Maul , Wolfgang Wenzel

In this paper, we consider the energy cost of communicating using molecular communication. In a simplified scenario, we show that the energy bound in Landauer's principle can be achieved, implying that molecular communication can approach…

Information Theory · Computer Science 2018-05-10 Andrew W. Eckford , Benjamin Kuznets-Speck , Michael Hinczewski , Peter J. Thomas

Experimental studies on single-molecule junctions are typically in need of a simple theoretical approach that can reproduce or be fitted to experimentally measured transport data. In this context, the single-level variant of the Landauer…

Chemical Physics · Physics 2021-02-10 Jakub K. Sowa , Rudolph A. Marcus

We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Klaus Richter , Martin Sieber

We present magnetotransport calculations for homogeneous two-dimensional electron systems including the Rashba spin-orbit interaction, which mixes the spin-eigenstates and leads to a modified fan-chart with crossing Landau levels. The…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 M. Langenbuch , M. Suhrke , U. Rössler

Marcus and Landauer-Buttiker approaches to charge transport through molecular junctions describe two contrasting mechanisms of electronic conduction. In previous work, we have shown how these charge transport theories can be unified in the…

Chemical Physics · Physics 2020-02-18 Jakub K. Sowa , Neill Lambert , Tamar Seideman , Erik M. Gauger

We discuss the conductance of a molecular bridge between mesoscopic electrodes supporting low-dimensional transport and bearing an internal structure. As an example for such nanoelectrodes we assume semi-infinite (carbon) nanotubes. In the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Fagas , G. Cuniberti , K. Richter

Landauer's formula relates the conductance of a quantum wire or interface to transmission probabilities. Total transmission probabilities are frequently calculated using Green function techniques and an expression first derived by Caroli.…

Materials Science · Physics 2007-05-23 P. A. Khomyakov , G. Brocks , V. Karpan , M. Zwierzycki , P. J. Kelly

Using Kubo's linear response theory, we derive expressions for the frequency-dependent electrical conductivity (Kubo-Greenwood formula), thermopower, and thermal conductivity in a strongly correlated electron system. These are evaluated…

Plasma Physics · Physics 2012-05-04 Bastian Holst , Martin French , Ronald Redmer

The Landauer formula provides a general scattering formulation of electrical conduction. Despite its utility, it has been mainly applied to the linear-response regime, and a scattering theory of nonlinear response has yet to be fully…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Kohei Kawabata , Masahito Ueda

In computing electric conductivity based on the Kubo formula, the vertex corrections describe such effects as anisotropic scattering and quantum interference and are important to quantum transport properties. These vertex corrections are…

Materials Science · Physics 2020-09-10 Yi-Wen Wei , Chao-Kai Li , Yuchuang Cao , Ji Feng

The conductivity of an electron gas can be alternatively calculated either from the current--current or from the density--density correlation function. Here, we compare these two frequently used formulations of the Kubo formula for the…

Disordered Systems and Neural Networks · Physics 2014-01-31 Andreas Sinner , Klaus Ziegler

For an isotropic single-band system, it is well known that the semiclassical Boltzmann transport theory within the relaxation time approximation and the Kubo formula with the vertex corrections provide the same result with the…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Sunghoon Kim , Seungchan Woo , Hongki Min

An analytic approach to the electron transport phenomena in molecular devices is presented. Analyzed devices are composed of organic molecules attached to the two semi-infinite electrodes. Molecular system is described within the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak

Electron transport is theoretically investigated in a molecular device made of anthracene molecule attached to the electrodes by thiol end groups in two different configurations (para and meta, respectively). Molecular system is described…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak

Transport measurements are one of the most widely used methods of characterizing small systems in chemistry and physics. When interactions are negligible, the current through quantum dots, nanowires, molecular junctions, and other submicron…

Mesoscale and Nanoscale Physics · Physics 2022-04-01 Dan Klein , Karen Michaeli