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In this paper, we present a powerful method (Atomistic Green's Function, AGF) for calculating the effective Hamiltonian of acoustic and elastic wave-scatterers. The ability to calculate the effective Hamiltonian allows for the study of…

Applied Physics · Physics 2024-04-30 Hossein Khodavirdi , Zhun-Yong Ong , Ankit Srivastava

The control of phonon scattering by interfaces is critical to the manipulation of heat conduction in composite materials and semiconducting nanostructures. However, one of the factors limiting our understanding of elastic phonon scattering…

Mesoscale and Nanoscale Physics · Physics 2018-11-08 Zhun-Yong Ong

We present a numerical approach to the solution of elastic phonon scattering problems based on a frequency domain decomposition of the atomistic equations of motion and the use of perfectly matched layer or PML boundaries. Unlike MD…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Rohit R. Kakodkar , Joseph P. Feser

We present the detailed treatment of dissipative quantum transport in carbon nanotube field-effect transistors (CNTFETs) using the non-equilibrium Green's function formalism. The effect of phonon scattering on the device characteristics of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Siyuranga O. Koswatta , Sayed Hasan , Mark S. Lundstrom , M. P. Anantram , Dmitri E. Nikonov

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

An analytical Green's function is developed to study the acoustic scattering by a flat plate with a serrated edge. The scattered pressure is solved using the Wiener-Hopf technique in conjunction with the adjoint technique. It is shown that…

Fluid Dynamics · Physics 2023-05-10 Benshuai Lyu

Mode space approach has been used so far in NEGF to treat phonon scattering for computational efficiency. Here we perform a more rigorous quantum transport simulation in real space to consider interband scatterings as well. We show a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Youngki Yoon , Dmitri E. Nikonov , Sayeef Salahuddin

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge

Understanding phonon scattering by topological defects in graphene is of particular interest for thermal management in graphene-based devices. We present a study that quantifies the roles of the different mechanisms governing defect phonon…

Materials Science · Physics 2016-11-04 Ziming Zhu , Xiaolong Yang , Mingyuan Huang , Qingfeng He , Guang Yang , Zhao Wang

The effect of phonon scattering on the intrinsic delay and cut-off frequency of Schottky barrier carbon nanotube (CNT) FETs is examined by self-consistently solving the Poisson equation and the Schrodinger equation using the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Youngki Yoon , Yijian Ouyang , Jing Guo

At the nanoscale, thermal transport across the interface between two lattice insulators can be described by the transmission of bulk phonons and depends on the crystallographic structure of the interface and the bulk crystal lattice. In…

Mesoscale and Nanoscale Physics · Physics 2018-10-18 Zhun-Yong Ong

Point defects exist widely in engineering materials and are known to scatter vibrational modes to reduce thermal conductivity. The Klemens description of point defect scattering is the most prolific analytical model for this effect. This…

Materials Science · Physics 2020-03-11 Ramya Gurunathan , Riley Hanus , Maxwell Dylla , Ankita Katre , G. Jeffrey Snyder

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

While the atomistic Green's function (AGF) method has the potential to compute spectrally resolved phonon transport across interfaces, most prior formulations of the AGF method provide only the total phonon transmission function that…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Sridhar Sadasivam , Umesh V. Waghmare , Timothy S. Fisher

This paper develops a finite-difference analogue of the boundary integral/element method for the numerical solution of two-dimensional exterior scattering from scatterers of arbitrary shapes. The discrete fundamental solution, known as the…

Numerical Analysis · Mathematics 2025-11-19 Siyuan Wang , Qing Xia

Scattering of waves due to a vertical array of equally-spaced cracks on a square lattice is studied. The convenience of Floquet periodicity reduces the study to that of scattering of specific wave-mode from single crack in a waveguide. The…

Classical Physics · Physics 2023-12-21 Gaurav Maurya , Basant Lal Sharma

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

In this paper, we present a mode space method for atomistic non-equilibrium Green's function simulations of armchair graphene nanoribbon FETs that includes electron-phonon scattering. With reference to both conventional and tunnel FET…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 Roberto Grassi , Antonio Gnudi , Ilaria Imperiale , Elena Gnani , Susanna Reggiani , Giorgio Baccarani

A formalism for incorporating electron-phonon scattering into the nonequilibrium Green's function (NEGF) framework that is applicable to planar MOSFETs is presented. Restructuring the NEGF equations in terms of approximate summation of…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Himadri S. Pal , Dmitri E. Nikonov , Raseong Kim , Mark S. Lundstrom

Point defects in solids such as vacancy and dopants often cause large thermal resistance. Because the lattice site occupied by a point defect has a much smaller size than phonon wavelengths, the scattering of thermal acoustic phonons by…

Computational Physics · Physics 2020-02-17 Ruiqiang Guo , Sangyeop Lee
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