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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

The Landauer expression for computing current-voltage characteristics in nanoscale devices is efficient and widely applicable but not suited to transient phenomena and time dependent currents because it assumes that the charge carrier…

Mesoscale and Nanoscale Physics · Physics 2017-10-20 Partha Pratim Pal , S. Ramakrishna , Tamar Seideman

We present a plane wave/pseudopotential implementation of the method to calculate electron transport properties of nanostructures. The conductance is calculated via the Landauer formula within formalism of Green's functions. Nonorthogonal…

Materials Science · Physics 2009-11-11 Zhenyu Li , D. S. Kosov

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

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 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

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

Density functional calculations for the electronic conductance of single molecules are now common. We examine the methodology from a rigorous point of view, discussing where it can be expected to work, and where it should fail. When…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Max Koentopp , Connie Chang , Kieron Burke , Roberto Car

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 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

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

Standard first principles calculations of transport through single molecules miss exchange-correlation corrections to the Landauer formula. From Kubo response theory, both the Landauer formula and these corrections in the limit of zero bias…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Kieron Burke , Max Koentopp , Ferdinand Evers

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 electron transport through the nanotube junctions which connect the different metallic nanotubes by a pair of a pentagonal defect and a heptagonal defect is investigated by Landauer's formula and the effective mass approximation. From…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Ryo Tamura , Masaru Tsukada

The electrical transport properties of atomic-scale conductors are reviewed, with an emphasis on the relations of this problem with studies on quantum size effects in metallic clusters. A brief introduction is given of the natural formalism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. M. van Ruitenbeek

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby

Schr\"odinger equation with given, {\it a priori} known current is formulated. A non-zero current density is maintained in the quantum system via a subsidiary condition imposed by vector, local Lagrange multiplier. Constrained minimization…

Condensed Matter · Physics 2009-11-07 D. S. Kosov

The Landauer formula allows us to describe theoretically the conductance in terms of the transmission function in a mesoscopic system. We propose a general method to evaluate the transmission function in the complex domain for systems…

Mesoscale and Nanoscale Physics · Physics 2020-08-06 Mauricio J. Rodríguez , Bryan D. Gomez , Carlos Ramírez

We present an ab initio approach to electronic transport in nanoscale systems which includes electronic correlations through the GW approximation. With respect to Landauer approaches based on density-functional theory (DFT), we introduce a…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Pierre Darancet , Andrea Ferretti , Didier Mayou , Valerio Olevano

The electron transport properties of a four-terminal molecular device are computed within the framework of density functional theory and non-equilibrium Keldysh theory. The additional two terminals lead to new properties, including a…

Mesoscale and Nanoscale Physics · Physics 2009-09-01 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier
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