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A unified theory for the current through a nanoscale region of interacting electrons connected to two leads which can be either ferromagnet or superconductor is presented, yielding Meir-Wingreen-type formulas when applied to specific…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , Baowen Li , F. Claro

The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving…

Statistical Mechanics · Physics 2025-06-02 Yu-Jen Chiu , Eric M. Weiner , Ahmad K. Omar

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

Understanding the behavior of light in non-equilibrium scenarios underpins much of quantum optics and optical physics. While lasers provide a severe example of a non-equilibrium problem, recent interests in the near-equilibrium physics of…

Quantum Physics · Physics 2016-10-26 Chiao-Hsuan Wang , J. M. Taylor

We develop a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Shmuel Gurvitz

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

Off-resonant charge transport through molecular junctions has been extensively studied since the advent of single-molecule electronics and it is now well understood within the framework of the non-interacting Landauer approach. Conversely,…

Vibrationally inelastic electron transport through a molecular bridge that is connected to two leads is investigated. The study is based on a generic model of vibrational excitation in resonant transmission of electrons through a molecular…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Martin Cizek , Michael Thoss , Wolfgang Domcke

In this short paper we first give a very simple derivation of the Landauer formula for a 2-point conductance of QJ $G^{2P}$, based on the uncertainty principle. The aim of this is to introduce this central equation of quantum transport to a…

Materials Science · Physics 2007-05-23 P. Bokes

We investigate electron transport through a finite two dimensional mesoscopic periodic potential, consisting of an array of lateral quantum dots with electron density controlled by a global top gate. We observe a transition from an…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Neal E. Staley , Nirat Ray , Marc A. Kastner , Micah P. Hanson , Arthur C. Gossard

We review the description and modeling of transport phenomena among the electron systems coupled via scalar or vector photons. It consists of three parts. The first part is about scalar photons, i.e., Coulomb interactions. The second part…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Jian-Sheng Wang , Jiebin Peng , Zu-Quan Zhang , Yong-Mei Zhang , Tao Zhu

Using a model comprising a 2-level bridge connecting free electron reservoirs we show that coupling of a molecular bridge to electron-hole excitations in the leads can markedly effect the source-drain current through a molecular junction.In…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Abraham Nitzan , Mark A. Ratner

A generalized Landauer formula, derived with the methods due to Keldysh, and Baym and Kadanoff, is gaining widespread use in the modeling of transport in a large number of different mesoscopic systems. We review some of the recent…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Antti-Pekka Jauho

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

We present a mesoscopic model for thermoelectric phenomena in terms of an interacting particle system, a lattice electron gas dynamics that is a suitable extension of the standard simple exclusion process. We concentrate on electronic heat…

Statistical Mechanics · Physics 2009-11-10 Christian Maes , Maarten H. van Wieren

Charge and heat transport through a single molecule tunnel-coupled to external normal electrodes have been studied. The molecule with sufficiently strong interaction between lectrons and vibrational internal degrees of freedom can be…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Karol Izydor Wysokinski

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

Transport through a molecule sandwiched between two metallic electrodes and coupled to a mesoscopic ring that threads a magnetic flux $\phi$ is studied. An analytic approach for the electron transport through the molecular bridge system is…

Mesoscale and Nanoscale Physics · Physics 2010-01-10 Santanu K. Maiti

Landauer's formula is the standard theoretical tool to examine ballistic transport in nano- and meso-scale junctions, but it necessitates that any variation of the junction with time must be slow compared to characteristic times of the…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 Daniel Gruss , Kirill A. Velizhanin , Michael Zwolak

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
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