Article
Landauer Formula for the Current through an Interacting Electron Region
Department of Physics, University of California, Santa Barbara, Santa Barbara, California, United States
Physical Review Letters (Impact Factor: 7.51).
05/1992; 68(16):25122515. DOI: 10.1103/PhysRevLett.68.2512
ABSTRACT
A Landauer formula for the current through a region of interacting electrons is derived using the nonequilibrium Keldysh formalism. The case of proportionate coupling to the left and right leads, where the formula takes an especially simple form, is studied in more detail. Two particular examples where interactions give rise to novel effects in the current are discussed: In the Kondo regime, an enhanced conductance is predicted, while a suppressed conductance is predicted for tunneling through a quantum dot in the fractional quantum Hall regime.

Source Available from: Bingqian Xu
 "[25] [57]). The nonequilibrium Green's function (NEGF), probably the most popular method, was developed in the 1990s to address transport through quantum dots [58], but since then, it has been widely applied in transport through molecular junctions [25] [57]. At its core is the division of the system into three separate regions comprising the left electrode, the right electrode, and the central region (sometimes referred to as the molecular bridge). "
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ABSTRACT: One of the ultimate goals of molecular electronics is to create technologies
that will complement  and eventually supersede  Sibased microelectronics
technologies. To reach this goal, electronic properties that mimic at least
some of the electrical behaviors of today's semiconductor components must be
recognized and characterized. AN outstanding example for one such behavior is
negative differential conductance (NDC), in which an increase in voltage across
the device terminals results in a decrease in the electrical current passing
through the device. This overview focuses on the NDC phenomena observed in
metalsingle moleculemetal junctions, and is roughly divided into two parts.
In the first part, the central experiments which demonstrate NDC in
singlemolecule junctions are critically overviewed, with emphasis on the main
observations and their possible physical origins. The second part is devoted to
the theory of NDC in singlemolecule junctions, where simple models are
employed to shed light on possible mechanisms leading to NDC. Journal of Physics Condensed Matter 05/2015; 27(26). DOI:10.1088/09538984/27/26/263202 · 2.35 Impact Factor

 "In presence of eph interactions inside the device region the current can generally be described by the MeirWingreen expression [43]. However, this formulation is often not practical to evaluate at the DFTNEGF level. "
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ABSTRACT: While the role of sampling of the electron momentum k in supercell calculations of the elastic electron transmission is well understood, its influence in the case of inelastic electron tunneling (IET) has not yet been systematically explored. Here we compare ab initio IET spectra of molecular monolayers in the commonly used Gammapoint approximation to rigorously kconverged results. We study four idealized molecular junctions with either alkanedithiolates or benzenedithiolates, and explore variations due to varying molecular tilt angle, density, as well as chemical identity of the monolayer. We show that the Gammapoint approximation is reasonable for a range of systems, but that a rigorous convergence is needed for accurate signal amplitudes. We also describe an approximative scheme which reduces the computational cost of the kaveraged calculation in our implementation. Physical Review B 01/2015; 91(3). DOI:10.1103/PhysRevB.91.035434 · 3.74 Impact Factor

Source Available from: Nicolas Cavassilas
 "We use the NEGF formalism to model electronic quantum 74 transport including both electron–phonon and electron–photon 75 scatterings [8], [9]. Based on this formalism, we can calculate 76 the current of electrons and holes generated by a given inci77 dent power spectrum of light [10], [11]. "
IEEE Journal of Photovoltaics 01/2015; DOI:10.1109/JPHOTOV.2015.2478032 · 3.17 Impact Factor
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