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We propose a first-principles method of efficiently evaluating electron-transport properties of very long systems. Implementing the recursive Green's function method and the shifted conjugate gradient method in the transport simulator based…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Yoshiyuki Egami , Shigeru Tsukamoto , Tomoya Ono

Currently, the most common method to calculate transport properties for materials under extreme conditions is based on the phenomenological Kubo-Greenwood method. The results of an inquiry into the justification and context of that model…

Statistical Mechanics · Physics 2018-05-09 James Dufty , Jeffrey Wrighton , Kai Luo , S. B. Trickey

The non-equilibrium Green's function method combined with density functional theory (NEGF-DFT) provides a rigorous framework for simulating nanoscale electronic transport, but its computational cost scales steeply with system size. Recent…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Zili Tang , Xiaoxin Xie , Guanwen Yao , Ligong Zhang , Xiaoyan Liu , Xing Zhang , Liu Fei

We compare three models of graphene electric conductivity: a non-local Kubo model, a local model derived by Falkovsky, and finally, a non-local quantum field theory (QFT) polarization-based model. These models are supposed to provide…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Pablo Rodriguez-Lopez , Jian-Sheng Wang , Mauro Antezza

Charge carrier transport in single-layer graphene with one-dimensional charged defects is studied theoretically. Extended charged defects, considered an important factor for mobility degradation in chemically-vapor-deposited graphene, are…

Mesoscale and Nanoscale Physics · Physics 2013-08-15 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko , A. Ferreira

Transport properties of single-layer graphene with correlated one-dimensional defects are studied using the time-dependent real-space Kubo-Greenwood formalism. Such defects are present in epitaxial graphene, comprising atomic terraces and…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko

As the foundation for a new computational implementation, we survey the calculation of the complex electrical conductivity tensor based on the Kubo-Greenwood (KG) formalism (J.\ Phys.\ Soc.\ Jpn. \textbf{12}, 570 (1957); Proc.\ Phys.\ Soc.\…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 L. Calderin , V. V. Karasiev , S. B. Trickey

Quantum transport properties of disordered graphene with structural defects (Stone-Wales and divacancies) are investigated using a realistic {\pi}-{\pi}* tight-binding model elaborated from ab initio calculations. Mean free paths and…

We address the question of whether transport coefficients obtained from a unitary closed system setting, i.e., the standard equilibrium Green-Kubo formula, are the same as the ones obtained from a weakly driven nonequilibrium steady-state…

Statistical Mechanics · Physics 2019-01-25 Marko Znidaric

Partitioning transportation networks into balanced and spatially coherent traffic zones is a fundamental yet computationally challenging task in intelligent transportation systems. The resulting optimization problem exhibits dense…

Quantum Physics · Physics 2026-05-19 Ruimin Ke , Talha Azfar , Kaicong Huang , Shuyang Li

Local curvature, or bending, of a graphene sheet is known to increase the chemical reactivity presenting an opportunity for templated chemical functionalization. Using first principles calculations based on density functional theory (DFT)…

Materials Science · Physics 2015-08-12 Jesper Toft Rasmussen , Tue Gunst , Peter Bøggild , Antti-Pekka Jauho , Mads Brandbyge

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

Using Kubo's linear response theory, we derive expressions for the frequency-dependent electrical conductivity (Kubo-Greenwood formula), thermopower, and thermal conductivity in a strongly correlated electron system. These are evaluated…

Plasma Physics · Physics 2012-05-04 Bastian Holst , Martin French , Ronald Redmer

The chapter combines analytical (statistical-thermodynamic and kinetic) with numerical (Kubo-Greenwood-formalism-based) approaches used to ascertain an influence of the configurations of point (impurities, vacancies) and line (grain…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 T. M. Radchenko , V. A. Tatarenko , I. Yu. Sagalianov , Yu. I. Prylutskyy

We investigate the electronic transport properties of copper-graphene composites using a density-functional framework. Conduction in composites by varying the interface distance of a copper/graphene/copper (Cu/G/Cu) interface models was…

Materials Science · Physics 2023-02-01 K. N. Subedi , K. Nepal , C. Ugwumadu , K. Kappagantula , D. A. Drabold

The simulation of charge transport in ultra-scaled electronic devices requires the knowledge of the atomic configuration and the associated potential. Such "atomistic" device simulation is most commonly handled using a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Maarten L. Van de Put , Massimo V. Fischetti , William G. Vandenberghe

Graphene has proven to host outstanding mesoscopic effects involving massless Dirac quasiparticles travelling ballistically resulting in the current flow exhibiting light-like behaviour. A new branch of 2D electronics inspired by the…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Gaetano Calogero , Nick R. Papior , Peter Bøggild , Mads Brandbyge

The Kubo formula is a cornerstone in our understanding of near-equilibrium transport phenomena. While conceptually elegant, the application of Kubo's linear-response theory to interesting problems is hindered by the need for algorithms that…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Santiago Giménez de Castro , João M. Viana Parente Lopes , Aires Ferreira , D. A. Bahamon

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

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