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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

Non-equilibrium transport and phonon branch-resolved size effects in single-layer graphene materials are studied under a multi-temperature kinetic model, which is developed for capturing the branch-dependent electron-phonon coupling.…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Chuang Zhang , Houssem Rezgui , Meng Lian , Hong Liang

We numerically investigate thermal transport at solid-solid interfaces with graded intermediate layers whose masses vary exponentially from one side to the other. Using Non-Equilibrium Green's Function and Non-Equilibrium Molecular Dynamics…

A dynamical method for inelastic transport simulations in nanostructures is compared with a steady-state method based on non-equilibrium Green's functions. A simplified form of the dynamical method produces, in the steady state in the…

Mesoscale and Nanoscale Physics · Physics 2008-08-19 Eunan J. McEniry , Thomas Frederiksen , Tchavdar N. Todorov , Daniel Dundas , Andrew P. Horsfield

Inelastic effects in electron transport through nano-sized devices are addressed with a method based on nonequilibrium Green's functions (NEGF) and perturbation theory to infinite order in the electron-vibration coupling. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thomas Frederiksen , Mads Brandbyge , Nicolas Lorente , Antti-Pekka Jauho

We adapt existing phonon heat transport methods to compute the phononic thermal conductance of metallic atomic contacts during a stretching process. Nonequilibrium molecular dynamics (NEMD) simulations are used to generate atomic…

Mesoscale and Nanoscale Physics · Physics 2019-10-08 D. O. Möhrle , F. Müller , M. Matt , P. Nielaba , F. Pauly

The description of nonequilibrium states of solids in a simplified manner is a challenge in the field of ultrafast dynamics. Here, the phonon thermalization in solids through the three-phonon scatterings is investigated by solving the…

Materials Science · Physics 2017-08-02 Shota Ono

Based on generalized quantum Langevin equations for the tight-binding wave function amplitudes and lattice displacements, electron and phonon quantum transport are obtained exactly using molecular dynamics (MD) in the ballistic regime. The…

Mesoscale and Nanoscale Physics · Physics 2009-01-02 J. T. Lu , Jian-Sheng Wang

We present an application of a new formalism to treat the quantum transport properties of fully interacting nanoscale junctions. We consider a model single-molecule nanojunction in the presence of two kinds of electron-vibron interactions.…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 H. Ness , L. K. Dash

We present an overview of electronic device modeling using non-equilibrium Green function techniques. The basic approach developed in the early 1970s has become increasingly popular during the last 10 years. The rise in popularity was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roger K. Lake , Rajeev R. Pandey

In crystals, macroscopic technological properties such as thermal conductivity originate from the microscopic drift and scattering of phonons, commonly described by the Boltzmann Transport Equation (BTE). Despite its widespread use, the…

Materials Science · Physics 2026-03-18 Enrico Di Lucente , Nicola Marzari , Michele Simoncelli

We study ballistic thermal transport in three-terminal atomic nanojunctions by the nonequilibrium Green's function method. We find that there is ballistic thermal rectification in asymmetric three-terminal structures because of the…

Mesoscale and Nanoscale Physics · Physics 2010-03-29 Lifa Zhang , Jian-Sheng Wang , Baowen Li

We present an ab initio approach to electronic transport in nanoscale systems which includes electronic correlations through the GW approximation. With respect to Landauer approaches based on density-functional theory (DFT), we introduce a…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Pierre Darancet , Andrea Ferretti , Didier Mayou , Valerio Olevano

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

Understanding ballistic phonon transport effects in transient thermoreflectance experiments and explaining the observed deviations from classical theory remains a challenge. Diffusion equations are simple and computationally efficient but…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jesse Maassen , Mark Lundstrom

The traditional atomistic Green's function (AGF) was formulated in the harmonic regime, preventing it from capturing the role of anharmonicity in interfacial thermal transport. Incorporating anharmonicity into AGF has long been desired but…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 Jinghang Dai , Zhiting Tian

Interfacial thermal resistance has been often estimated and understood using the Landauer formalism that assumes incident phonons with equilibrium distribution. However, previous studies suggest that phonons are out-of-equilibrium near the…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Jinchen Han , Sangyeop Lee

To explore whether the density-functional theory non-equilibrium Green's function formalism (DFT-NEGF) provides a rigorous framework for quantum transport, we carried out time-dependent density functional theory (TDDFT) calculations of the…

Materials Science · Physics 2011-07-01 ChiYung Yam , Xiao Zheng , GuanHua Chen , Yong Wang , Thomas Frauenheim , Thomas A. Niehaus

We study ballistic interfacial thermal transport across atomic junctions. Exact expressions for phonon transmission coefficients are derived for thermal transport in one-junction and two-junction chains, and verified by numerical…

Materials Science · Physics 2011-03-02 Lifa Zhang , Pawel Keblinski , Jian-Sheng Wang , Baowen Li

Phonon transport across a vacuum gap separating intrinsic silicon crystals is predicted via the atomistic Green's function method combined with first-principles calculations of all interatomic force constants. The overlap of electron wave…

Mesoscale and Nanoscale Physics · Physics 2022-01-14 Takuro Tokunaga , Masao Arai , Kazuaki Kobayashi , Wataru Hayami , Shigeru Suehara , Takuma Shiga , Keunhan Park , Mathieu Francoeur
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