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This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

In this colloquia review we discuss methods for thermal transport calculations for nanojunctions connected to two semi-infinite leads served as heat-baths. Our emphases are on fundamental quantum theory and atomistic models. We begin with…

Mesoscale and Nanoscale Physics · Physics 2008-05-23 Jian-Sheng Wang , Jian Wang , J. T. Lu

In this thesis we showed that Non-equilibrium Green's Function Perturbation Theory (NEGF) is really the overarching perturbative transport theory. This is shown in great detail by using NEGF as a starting point and developing in 3…

Mesoscale and Nanoscale Physics · Physics 2013-02-05 Meng Lee Leek

Thermal engineering of quantum devices has attracted much attention since the discovery of quantized thermal conductance of phonons. Although easily submerged in numerous excitations in macro-systems, quantum behaviors of phonons manifest…

Materials Science · Physics 2020-10-02 Xiaobin Chen , Yizhou Liu , Wenhui Duan

With the rapidly increasing integration density and power density in nanoscale electronic devices, the thermal management concerning heat generation and energy harvesting becomes quite crucial. Since phonon is the major heat carrier in…

Mesoscale and Nanoscale Physics · Physics 2021-03-01 Zhizhou Yu , Guohuan Xiong , Lifa Zhang

We present a formulation of a nonequilibrium Green's function method for thermal current in nanojunction atomic systems with nonlinear interactions. This first-principle approach is applied to the calculation of the thermal conductance in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Sheng Wang , Jian Wang , Nan Zeng

The understanding and modeling of inelastic scattering of thermal phonons at a solid/solid interface remain an open question. We present a fully quantum theoretical scheme to quantify the effect of anharmonic phonon-phonon scattering at an…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Yangyu Guo , Zhongwei Zhang , Marc Bescond , Shiyun Xiong , Masahiro Nomura , Sebastian Volz

The coherent quantum effect becomes increasingly important in the heat dissipation bottleneck of semiconductor nanoelectronics with the characteristic size shrinking down to few nano-meters scale nowadays. However, the quantum mechanical…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Yangyu Guo , Marc Bescond , Zhongwei Zhang , Mathieu Luisier , Masahiro Nomura , Sebastian Volz

We formulate a semiclassical theory for electron transport in open quantum systems with electron-phonon interactions adequate for situations when the system's phonon dynamics is comparable with the electron transport timescale. Starting…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Maicol A. Ochoa

The nonequilibrium Green's function (NEGF) method is often used to predict transport in atomistically resolved nanodevices and yields an immense numerical load when inelastic scattering on phonons is included. To ease this load, this work…

Computational Physics · Physics 2020-07-22 Daniel A. Lemus , James Charles , Tillmann Kubis

We have developed a new theoretical formalism for phonon transport in nanostructures using the nonequilibrium phonon Green's function technique and have applied it to thermal conduction in defective carbon nanotubes. The universal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Takahiro Yamamoto , Kazuyuki Watanabe

Radiative heat transfer (RHT) at the nanoscale can vastly exceed the far-field blackbody limit due to the tunneling of evanescent waves, a phenomenon traditionally described by fluctuational electrodynamics (FE). While FE has been…

Statistical Mechanics · Physics 2026-03-30 Yahan Liu , Tao Zhu

In this paper we develop the Non-Equilibrium Green's Function (NEGF) formalism for a dissipative molecular junction that consists of a central molecular system with one-dimensional electronic transport coupled to a phonon environment and…

Mesoscale and Nanoscale Physics · Physics 2021-08-12 Matthew A Lane , Lev Kantorovich

We have presented a consistent electronic transport framework for the two-dimensional extended Holstein's organic molecular-crystal based upon complete quantum-mechanical treatment through the non-equilibrium Green's function (NEGF)…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 Bhupesh Bishnoi

The non-equilibrium Green's function (NEGF) method with B\"uttiker probe scattering self-energies is assessed by comparing its predictions for the thermal boundary resistance with molecular dynamics (MD) simulations. For simplicity, the…

We present a detailed treatment of the nonequilibrium Green's function method for thermal transport due to atomic vibrations in nanostructures. Some of the key equations, such as self-energy and conductance with nonlinear effect, are…

Statistical Mechanics · Physics 2011-11-09 Jian-Sheng Wang , Nan Zeng , Jian Wang , Chee Kwan Gan

We study the heat transport due to phonons in nanomechanical structures using a phase space representation of non-equilibrium Green's functions. This representation accounts for the atomic degrees of freedom making it particularly suited…

Mesoscale and Nanoscale Physics · Physics 2017-10-10 Marcone I. Sena-Junior , Leandro R. F. Lima , Caio H. Lewenkopf

Using non-equilibrium Green's functions (NEGF), we calculate the current through an interacting region connected to non-interacting leads. The problem is reformulated in such a way that a Landauer-like term appears in the current as well as…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Ness , L. K. Dash , R. W. Godby

With the increasing miniaturization of electronic components and the need to optimize thermal management, it has become essential to understand heat transport at metal/semiconductor interfaces. While it has been recognized decades ago that…

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…

Mesoscale and Nanoscale Physics · Physics 2009-07-14 Alexis R. Hernández , Caio H. Lewenkopf
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