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The numerical solution of the Kadanoff-Baym nonlinear integro-differential equations, which yields the non-equilibrium Green's functions (NEGFs) of quantum many-body systems, poses significant computational challenges due to its high…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 Jia Yin , Khaled Z. Ibrahim , Mauro Del Ben , Jack Deslippe , Yang-hao Chan , Chao Yang

Density functional theory (DFT) combined with non-equilibrium Greens functions (NEGF) is a powerful approach to model quantum transport under external bias potentials, at reasonable computational cost. In this work we present a new…

Materials Science · Physics 2024-07-23 Christian S. Ahart , Sergey Chulkov , Clotilde S. Cucinotta

We present the implementation of spinor quantum transport within the non-equilibrium Green's function (NEGF) code TranSIESTA based on Density Functional Theory (DFT). First-principles methods play an essential role in molecular and material…

Mesoscale and Nanoscale Physics · Physics 2025-06-02 Nils Wittemeier , Nick Papior , Mads Brandbyge , Zeila Zanolli , Pablo Ordejón

The quantum Hall effect in Graphene nano-ribbons (GNR) is investigated with the non-equilibrium Green s function (NEGF) based quantum transport model in the ballistic regime. The nearest neighbor tight-binding model based on pz orbital…

Mesoscale and Nanoscale Physics · Physics 2008-01-09 Roksana Golizadeh-Mojarad , A. N. M. Zainuddin , Gerhard Klimeck , Supriyo Datta

Non-equilibrium Green's function theory and related methods are widely used to describe transport phenomena in many-body systems, but they often require a costly inversion of a large matrix. We show here that the shift-invert Lanczos method…

Nuclear Theory · Physics 2025-01-14 K. Uzawa , K. Hagino

Coherent electronic transport through a molecular device is studied using non-equilibrium Green's function (NEGF) formalism. Such device is made of a short linear wire which is connected to para- and ferromagnetic electrodes. Molecule…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kamil Walczak

In many problems, it is necessary to integrate a transport equation. Here we consider specifically light incident on a horizontally homogeneous foliage ('the canopy'), modeled as a turbid medium. This is often treated by integrating…

Computational Physics · Physics 2007-05-23 Antoine Royer , Sophie Royer

We study the electronic transport through uniformly bent carbon nanotubes. For this purpose, we describe the nanotube with the tight-binding model and calculate the local current flow by employing non-equilibrium Green's functions (NEGF) in…

Mesoscale and Nanoscale Physics · Physics 2023-05-26 Eric Kleinherbers , Thomas Stegmann , Nikodem Szpak

Two-dimensional (2D) materials exhibit a wide range of electronic properties that make them promising candidates for next-generation nanoelectronic devices. Accurate prediction of their quantum transport behavior is therefore of both…

Materials Science · Physics 2025-12-22 Jijie Zou , Zhanghao Zhouyin , Qiangqiang Gu , Shishir Kumar Pandey

Non equilibrium Green's function methods are regularly used to calculate current and charge densities in nanoscale (both molecular and semiconductor) conductors under bias. This method is mainly used for ballistic conduction but may be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Paulsson

Based on density functional theory (DFT), we have developed algorithms and a program code to investigate the electron transport characteristics for a variety of nanometer scaled devices in the presence of an external bias voltage. We…

Mesoscale and Nanoscale Physics · Physics 2008-05-14 Woo Youn Kim , Kwang S. Kim

This work describes a novel simulation approach that combines machine learning and device modelling simulations. The device simulations are based on the quantum mechanical non-equilibrium Greens function (NEGF) approach and the machine…

Computational Engineering, Finance, and Science · Computer Science 2023-09-19 Preslav Aleksandrov , Ali Rezaei , Nikolas Xeni , Tapas Dutta , Asen Asenov , Vihar Georgiev

The ultrafast hole dynamics triggered by the photoexcitation of molecular targets is a highly correlated process even for those systems, like organic molecules, having a weakly correlated ground state. We here provide a unifying framework…

Chemical Physics · Physics 2021-07-21 Yaroslav Pavlyukh , Enrico Perfetto , Gianluca Stefanucci

The theory of Nonequilibrium Green functions (NEGF) has seen a rapid development over the recent three decades. Applications include diverse correlated many-body systems in and out of equilibrium. Very good agreement with experiments and…

Strongly Correlated Electrons · Physics 2026-04-02 Michael Bonitz , Jan-Philip Joost , Christopher Makait , Erik Schroedter , Tim Karsberger , Karsten Balzer

State-of-the-art industrial semiconductor device modeling is based on highly efficient Drift-Diffusion (DD) models that include some quantum corrections for nanodevices. In contrast, latest academic quantum transport models are based on the…

We derive an improved version of the recursive Green's function formalism (RGF), which is a standard tool in the quantum transport theory. We consider the case of disordered quasi one-dimensional materials where the disorder is applied in…

Computational Physics · Physics 2018-11-26 Fabian Teichert , Andreas Zienert , Jörg Schuster , Michael Schreiber

In this work we compare two fundamentally different approaches to the electronic transport in deformed graphene: a) the condensed matter approach in which current flow paths are obtained by applying the non-equilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2016-05-23 Thomas Stegmann , Nikodem Szpak

In semi-classical transport, it has become common practice over the past few decades to use ensemble Monte Carlo (EMC) methods for the simulation of transport in semiconductor devices. This method utilizes particles while still addressing…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 David K. Ferry

We discuss the calculation of the carrier mobility in silicon films within the quantum Non-Equilibrium Green's Functions (NEGF) framework. We introduce a new method for the extraction of the carrier mobility that is free from contact…

Mesoscale and Nanoscale Physics · Physics 2014-02-14 Yann-Michel Niquet , Viet-Hung Nguyen , François Triozon , Ivan Duchemin , Olivier Nier , Denis Rideau

We employ a novel multi-configurational self-consistent Green's function approach (MCSCG) for the simulation of nanoscale Schottky-barrier field-effect transistors. This approach allows to calculate the electronic transport with a seamless…

Other Condensed Matter · Physics 2007-06-11 Klaus Michael Indlekofer , Joachim Knoch , Joerg Appenzeller