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We present a general nonequilibrium Green's function formalism for modeling heat transfer in systems characterized by linear response that establishes the formal algebraic relationships between phonon and radiative conduction, and reveals…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Prashanth S. Venkataram , Riccardo Messina , Juan Carlos Cuevas , Philippe Ben-Abdallah , Alejandro W. Rodriguez

The nonequilibrium dynamics of a quantum dot with electron-phonon interactions described by a generalized Holstein model is presented. A combination of methodologies including the reduced density matrix formalism, the multilayer…

Strongly Correlated Electrons · Physics 2015-06-18 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

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

Interfaces play an essential role in phonon-mediated heat conduction in solids, impacting applications ranging from thermoelectric waste heat recovery to heat dissipation in electronics. From the microscopic perspective, interfacial phonon…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Chengyun Hua , Xiangwen Chen , Navaneetha K. Ravichandran , Austin J. Minnich

An approach is presented for the atomistic study of phonon transport in real dielectric nanowires via Green functions. The formalism is applied to investigate the phonon flow through nanowires coated by an amorphous material. Examples for a…

Materials Science · Physics 2007-05-23 N. Mingo , Liu Yang

The impact of dispersion relations, anisotropy, and Brillouin zone structure on intrinsic phonon scattering rates has been assessed within the harmonic approximation-perturbation theory approach for lattice dynamics. Anisotropic nonlinear…

Materials Science · Physics 2022-06-15 Ahmed Hamed , Anter El-Azab

By using nonequilibrium Green's functions and the equation of motion method, we formulate a self-consistent field theory for the electron transport through a single molecular junction (SMJ) coupled with a vibrational mode. We show that the…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Guo-Hui Ding , Bing Dong

We review a recent theoretical development based on non-equilibrium Green's function formalism to study heat transport in nanomechanical devices modeled by phononic systems of coupled quantum oscillators driven by ac forces and connected to…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Liliana Arrachea , Bruno Rizzo

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 study the role of anharmonicity at interfaces with an added intermediate layer designed to facilitate interfacial phonon transport. Our results demonstrate that while in the harmonic limit the bridge may lower the conductance due to…

Thermal transport in crystals is influenced by chemistry, boundaries, and nanostructure. The anharmonic phonon band structure extracted from molecular-dynamics simulations provides an illuminating view of both the type and extent of…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Albert Beardo , Prajit Rawte , Chia-Nien Tsai , Mahmoud I. Hussein

We investigate the effects of alternating voltage on nonequilibrium quantum systems with localised phonon modes. Nonequilibrium Green's functions are utilised, with electron-phonon coupling being considered with the $GD$ approximation…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Thomas D. Honeychurch , Daniel S. Kosov

Due to their aspect ratio and wide range of thermal conductivities, nanotubes hold significant promise as heat-management nanocomponents. Their practical use is, however, often limited by thermal resistance introduced by structural defects…

Materials Science · Physics 2025-10-20 Yu-Jie Cen , Sandro Wieser , Georg K. H. Madsen , Jesús Carrete

We develop a theoretical framework to determine distribution functions in nonequilibrium systems coupled to equilibrium reservoirs, by using the nonequilibrium Green's function technique. As a paradigmatic example, we consider the…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Taira Kawamura , Yusuke Kato

A semi-analytical model for studying thermal transport at the nanoscale, able to accurately describe both the effect of out of equilibrium transport and the thermal transfer at interfaces, is presented. Our approach is based on the…

Mesoscale and Nanoscale Physics · Physics 2020-06-26 B. Davier , P. Dollfus , S. Volz , J. Shiomi , J. Saint-Martin

Comprehensive understanding of thermal transport in nanostructured materials needs large scale simulations bridging length scales dictated by different physics related to the wave versus particle nature of phonons. Yet, available…

Mesoscale and Nanoscale Physics · Physics 2020-04-10 Dhritiman Chakraborty , Hossein Karamitaheri , Laura de Sousa Oliveira , Neophytos Neophytou

We investigate the electronic transport behavior of Fano-Anderson (FA) systems, consisting of a one-dimensional finite backbone chain and an attached side-group of varying length. The tight-binding model within the non-equilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Koushik R. Das , Sudipta Dutta

A general approach for the calculation of the incoherent intensity scattered by a random medium with rough boundaries has been developed using a Green function formalism. The random medium consists of spherical particles whose physical…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

We have investigated the effect on phonon energy transport in mesoscopic systems and the reduction in the thermal conductance in the quantum limit due to phonon scattering by surface roughness using full 3-dimensional elasticity theory for…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. H. Santamore , M. C. Cross

We study the intrinsic scattering of phonons by a general quantum degree of freedom, i.e. a fluctuating "field" $Q$, which may have completely general correlations, restricted only by unitarity and translational invariance. From the induced…

Strongly Correlated Electrons · Physics 2023-01-04 Léo Mangeolle , Leon Balents , Lucile Savary
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