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Related papers: Kubo-Greenwood Electrical Conductivity Formulation…

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We discuss the foundations and extend the range of applicability of the widely used Kubo-Greenwood formula (KGF) for the electronic conductivity. The conductivity is derived from the current density, and only the probability amplitude…

Statistical Mechanics · Physics 2009-04-02 Ming-Liang Zhang , D. A. Drabold

The Kubo-Greenwood (KG) formula is often used in conjunction with Kohn-Sham (KS) density functional theory (DFT) to compute the optical conductivity, particularly for warm dense mater. For applying the KG formula, all KS eigenstates and…

Materials Science · Physics 2019-11-06 Yael Cytter , Eran Rabani , Daniel Neuhauser , Martin Preising , Ronald Redmer , Roi Baer

From the change in kinetic energy induced by an external field, we discuss the applicable conditions for the Mott-Davis and Moseley-Lukes form of the Kubo-Greenwood formula (KGF) for the electrical conductivity which has been implemented in…

Statistical Mechanics · Physics 2010-11-19 Mingliang Zhang , D. A. Drabold

Understanding DC electrical conductivity is crucial for the study of materials. Macroscopic DC conductivity can be calculated from first principles using the Kubo-Greenwood equation. The procedure involves finding the thermodynamic limit of…

Disordered Systems and Neural Networks · Physics 2020-03-23 Pavlo Bulanchuk

A new formulation of the Kubo-Greenwood conductivity for average atom models is given. The new formulation improves upon previous by explicitly including the ionic-structure factor. Calculations based on this new expression lead to much…

Plasma Physics · Physics 2016-05-25 C. E. Starrett

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

We implement, optimize, and validate the linear-scaling Kubo-Greenwood quantum transport simulation on graphics processing units by examining resonant scattering in graphene. We consider two practical representations of the Kubo-Greenwood…

Mesoscale and Nanoscale Physics · Physics 2014-02-14 Zheyong Fan , Andreas Uppstu , Topi Siro , Ari Harju

The linear conductivity tensor for generic homogeneous, microscopic quantum models was formulated as a noncommutative Kubo formula in Refs. \cite{BELLISSARD:1994xj,Schulz-Baldes:1998vm,Schulz-Baldes:1998oq}. This formula was derived…

Disordered Systems and Neural Networks · Physics 2013-10-15 Emil Prodan

This paper presents a unified approach to the modeling and computation of the Kubo conductivity of incommensurate bilayer heterostructures at finite temperature. Firstly, we derive an expression for the large-body limit of Kubo-Greenwood…

Numerical Analysis · Mathematics 2020-09-24 Simon Etter , Daniel Massatt , Mitchell Luskin , Christoph Ortner

We present a longitudinal electrical conductivity calculation method for disordered alloys applicable from a wide range of density functional theory (DFT) codes based on the first-principles Wannier-based coherent potential approximation…

Materials Science · Physics 2024-08-08 Shota Namerikawa , Takashi Koretsune

We present an ab initio calculation of the DC conductivity of amorphous silicon and hydrogenated amorphous silicon. The Kubo-Greenwood formula is used to obtain the DC conductivity, by thermal averaging over extended dynamical simulation.…

Materials Science · Physics 2009-11-13 T. A. Abtew , M. Zhang , D. A. Drabold

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

Here we introduce a numerical method for computing conductivity via the Kubo Formula for incommensurate 2D bilayer heterostructures using a tight-binding framework. We begin with deriving the momentum space formulation and Kubo Formula from…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Daniel Massatt , Stephen Carr , Mitchell Luskin

In this paper, we develop a highly efficient molecular dynamics code fully implemented on graphics processing units for thermal conductivity calculations using the Green-Kubo formula. We compare two different schemes for force evaluation, a…

Materials Science · Physics 2013-03-14 Zheyong Fan , Topi Siro , Ari Harju

The average of densities of currents and charges, induced by a weak electromagnetic field in spatially inhomogeneous are calculated at final temperatures. The Kubo formula for a conductivity tensor is generalized for spatially inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. T. Pavlov , I. G. Lang , L. I. Korovin

Recently, Rodriguez-Lopez, Wang, and Antezza [Phys. Rev. B v.111, 115428 (2025)] compared the theoretical descriptions of electric conductivity of graphene given by the Kubo model and quantum field theory in terms of the polarization…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 M. Bordag , N. Khusnutdinov , G. L. Klimchitskaya , V. M. Mostepanenko

We have explored the multi-component structure of electrical conductivity of relativistic Fermionic and Bosonic fluid in presence of magnetic field by using Kubo approach. This is done by explicitly evaluating the thermo-magnetic vector…

High Energy Physics - Phenomenology · Physics 2021-10-04 Sarthak Satapathy , Snigdha Ghosh , Sabyasachi Ghosh

We derive from first principles the Kubo formulas for the stress-stress response function at zero wavevector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.…

Statistical Mechanics · Physics 2013-05-30 Barry Bradlyn , Moshe Goldstein , N. Read

The electronic and transport properties of aluminum-graphene composite materials were investigated using ab initio plane wave density functional theory. The interfacial structure is reported for several configurations. In some cases, the…

Materials Science · Physics 2024-02-12 K. Nepal , C. Ugwumadu , K. N. Subedi , K. Kappagantula , D. A. Drabold

Pairing the accuracy of Kohn-Sham density-functional framework with the efficiency of a stochastic algorithmic approach, mixed stochastic-deterministic Density Functional Theory (mDFT) achieves a favorable computational scaling with system…

Chemical Physics · Physics 2025-10-07 Vidushi Sharma , Lee A. Collins , Alexander J. White
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