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The simulation of quantum transport in nanodevices requires the solution of the Dyson and Keldysh equations, a task dominated by the inversion of massive, block-tridiagonal matrices. While the Recursive Green's Function (RGF) method has…

数值分析 · 数学 2026-05-20 Edoardo Di Napoli , Alessandro Pecchia , Gustavo Ramirez-Hidalgo

Through the Non-Equilibrium Green's Function (NEGF) formalism, quantum-scale device simulation can be performed with the inclusion of electron-phonon scattering. However, the simulation of realistically sized devices under the NEGF…

介观与纳米尺度物理 · 物理学 2015-05-27 Stephen Cauley , Mathieu Luisier , Venkataramanan Balakrishnan , Gerhard Klimeck , Cheng-Kok Koh

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…

介观与纳米尺度物理 · 物理学 2009-07-14 Alexis R. Hernández , Caio H. Lewenkopf

The Non-Equilibrium Green's Function (NEGF) method combined with ab initio calculations has been widely used to study charge transport in molecular junctions. However, the significant computational demands of high-resolution calculations…

计算物理 · 物理学 2026-05-19 Xuan Ji , Qiang Qi , Yueqi Chen , Chen Zhou , Xi Yu

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…

介观与纳米尺度物理 · 物理学 2009-07-24 Branislav K. Nikolic , Liviu P. Zarbo , Satofumi Souma

The non-equilibrium Green's function (NEGF) approach offers a practical framework for simulating various phenomena in mesoscopic systems. As the dimension of electronic devices shrinks to just a few nanometers, the need for new…

介观与纳米尺度物理 · 物理学 2025-04-09 Vahid Mosallanejad , Kuei-Lin Chiu , Wenjie Dou

We propose an efficient procedure to obtain Green's functions by combining the shifted conjugate orthogonal conjugate gradient (shifted COCG) method with the nonequilibrium Green's function (NEGF) method based on a real-space…

计算物理 · 物理学 2015-02-03 Shigeru Iwase , Takeo Hoshi , Tomoya Ono

We present an efficient implemention of a non-equilibrium Green function (NEGF) method for self-consistent calculations of electron transport and forces in nanostructured materials. The electronic structure is described at the level of…

介观与纳米尺度物理 · 物理学 2015-06-04 Jingzhe Chen , Kristian S. Thygesen , Karsten W. Jacobsen

Modeling nanoscale devices quantum mechanically is a computationally challenging problem where new methods to solve the underlying equations are in a dire need. In this paper, we present an approach to calculate the charge density in…

数值分析 · 数学 2013-05-07 U. Hetmaniuk , Y. Zhao , M. P. Anantram

In this work, the low rank approximation concept is extended to the non-equilibrium Green's function (NEGF) method to achieve a very efficient approximated algorithm for coherent and incoherent electron transport. This new method is applied…

介观与纳米尺度物理 · 物理学 2015-06-15 Lang Zeng , Yu He , Michael Povolotsky , XiaoYan Liu , Gerhard Klimeck , Tillmann Kubis

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…

介观与纳米尺度物理 · 物理学 2007-05-23 M. P. Anantram , M. S. Lundstrom , D. E. Nikonov

We propose the reduced-shifted Conjugate-Gradient (RSCG) method, which is numerically efficient to calculate a matrix element of a Green's function defined as a resolvent of a Hamiltonian operator, by solving linear equations with a desired…

超导电性 · 物理学 2017-02-01 Yuki Nagai , Yasushi Shinohara , Yasunori Futamura , Tetsuya Sakurai

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…

Designing nanoscale electronic devices such as the currently manufactured nanoribbon field-effect transistors (NRFETs) requires advanced modeling tools capturing all relevant quantum mechanical effects. State-of-the-art approaches combine…

We present and review an efficient method to calculate the retarded Green's function in multi-terminal nanostructures; which is needed in order to calculate the conductance through the system and the local particle densities within it. The…

介观与纳米尺度物理 · 物理学 2015-06-16 G. Thorgilsson , G. Viktorsson , S. I. Erlingsson

A method for the computation of scattering data and of the Green function for the one-dimensional Schr\"{o}dinger operator $H:=-\frac{d^2}{dx^2}+q(x)$ with a decaying potential is presented. It is based on representations for the Jost…

经典分析与常微分方程 · 数学 2019-10-02 Raúl Castillo-Pérez , Vladislav V. Kravchenko , Sergii M. Torba

The nonequilibrium Green's function (NEGF) formalism is a powerful tool to study the nonequilibrium dynamics of correlated lattice systems, but its applicability to realistic system sizes and long timescales is limited by unfavorable memory…

强关联电子 · 物理学 2025-09-29 Maksymilian Środa , Ken Inayoshi , Michael Schüler , Hiroshi Shinaoka , Philipp Werner

The recent fabrication of graphene nanoribbon (GNR) field-effect transistors poses a challenge for first-principles modeling of carbon nanoelectronics due to many thousand atoms present in the device. The state of the art quantum transport…

介观与纳米尺度物理 · 物理学 2010-04-28 Denis A. Areshkin , Branislav K. Nikolic

Extended Huckel theory (EHT) along with NEGF (Non-equilibrium Green's function formalism) has been used for modeling coherent transport through molecules. Incorporating dephasing has been proposed to theoretically reproduce experimental…

介观与纳米尺度物理 · 物理学 2008-08-28 Hassan Raza , Edwin C. Kan

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…

介观与纳米尺度物理 · 物理学 2015-05-14 Taisuke Ozaki , Kengo Nishio , Hiori Kino
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