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A quantum transport model incorporating spin scattering processes is presented using the non-equilibrium Green's function (NEGF) formalism within the self-consistent Born approximation. This model offers a unified approach by capturing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ahmet Ali Yanik , Gerhard Klimeck , Supriyo Datta

We aim to provide engineers with an introduction to the non-equilibrium Green's function (NEGF) approach, which provides a powerful conceptual tool and a practical analysis method to treat small electronic devices quantum mechanically and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. P. Anantram , M. S. Lundstrom , D. E. Nikonov

We present a unified transport theory of hybrid structures, in which a confined normal state ($N$) sample is sandwiched between two leads each of which can be either a ferromagnet ($F$) or a superconductor ($S$) via tunnel barriers. By…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Z. Y. Zeng , Baowen Li , F. Claro

Two-terminal spintronic devices remain challenging to model under realistic operating conditions, where the interplay of complex electronic structures, correlation effects and bias-driven non-equilibrium dynamics may significantly impact…

Strongly Correlated Electrons · Physics 2025-11-25 Declan Nell , Milos Radonjic , Ivan Rungger , Liviu Chioncel , Stefano Sanvito , Andrea Droghetti

Coherent electronic transport through a molecular device is studied using non-equilibrium Green's function (NEGF) formalism. Such device is made of a carbon nanowire which is connected to ferromagnetic electrodes. The molecule itself is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak , Gloria Platero

We study the nonlinear elastic quantum electronic transport properties of nanoscopic devices using the Nonequilibrium Green's function (NEGF) method. The Green's function method allows us to expand the $I-V$ characteristics of a given…

Mesoscale and Nanoscale Physics · Physics 2009-07-14 Alexis R. Hernández , Caio H. Lewenkopf

This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

Experiments observing spin density and spin currents (responsible for, e.g., spin-transfer torque) in spintronic devices measure only the nonequilibrium contributions to these quantities, typically driven by injecting unpolarized charge…

Mesoscale and Nanoscale Physics · Physics 2013-10-18 Farzad Mahfouzi , Branislav K. Nikolic

We demonstrate an efficient nonequilibrium Green's function transport calculation procedure based on the real-space finite-difference method. The direct inversion of matrices for obtaining the self-energy terms of electrodes is…

Materials Science · Physics 2024-01-09 Tomoya Ono , Yoshiyuki Egami , Kikuji Hirose

Using non-equilibrium Green's functions (NEGF), we calculate the current through an interacting region connected to non-interacting leads. The problem is reformulated in such a way that a Landauer-like term appears in the current as well as…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Ness , L. K. Dash , R. W. Godby

In this paper we present a general formulation for electronic transport that combines strong correlation effects with broadening and quantum coherence, and illustrate it with a simple example ("spin blockade") that clearly demonstrates all…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Supriyo Datta

An efficient implementation of the nonequilibrium Green function (NEGF) method combined with the density functional theory (DFT) using localized pseudo-atomic orbitals (PAOs) is presented for electronic transport calculations of a system…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Taisuke Ozaki , Kengo Nishio , Hiori Kino

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

We derive a general expression for the electron nonequilibrium (NE) distribution function in the context of steady state quantum transport through a two-terminal nanodevice with interaction. The central idea for the use of NE distributions…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 H. Ness

This chapter of "The Oxford Handbook of Nanoscience and Technology: Frontiers and Advances" reviews nonequilibrium Green function (NEGF) approach to modeling spin current generation, transport, and detection in semiconductor nanostructures…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 Branislav K. Nikolic , Liviu P. Zarbo , Satofumi Souma

The steady-state electronic transport across periodically driven systems can be efficiently addressed using Landauer-B\"{u}ttiker formalism. The time-dependent nonequilibrium Green's function theory then may be adapted for developing direct…

Mesoscale and Nanoscale Physics · Physics 2018-12-17 Oleksandr Balabanov

We present here a self consistent solution of quantum transport, using the Non Equilibrium Green's Function (NEGF) method, and magnetization dynamics, using the Landau-Lifshitz-Gilbert (LLG) formulation. We have applied this model to study…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sayeef Salahuddin , Supriyo Datta

The Non-equilibrium Green's function (NEGF) formalism is a particularly powerful method to simulate the quantum transport properties of nanoscale devices such as transistors, photo-diodes, or memory cells, in the ballistic limit of…

We generalize a Landauer-type formula, using a real$\otimes$spin-space Green function technique, to treat spin-dependent transport in quantum-coherent conductors attached to two ferromagnetic contacts. The formalism is employed to study the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic , J. K. Freericks

We report the investigation of full-counting statistics (FCS) of transferred charge and spin in the transient regime where the connection between central scattering region (quantum dot) and leads are turned on at $t=0$. A general…

Statistical Mechanics · Physics 2014-12-15 Gao-Min Tang , Jian Wang
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