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We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions are obtained for both second order nonlinear dispersive…

Statistical Mechanics · Physics 2018-08-31 Zhijie Xu

Effects of resonant acoustic phonon scattering on magnetoresistivity are examined in two-dimensional electron systems at low temperatures by using a balance-equation magnetotransport scheme direct controlled by the current. The…

Mesoscale and Nanoscale Physics · Physics 2008-05-13 X. L. Lei

We present a simple and efficient approximation to the electron-phonon scattering rate suitable for high-throughput screening of candidate materials for thermoelectric devices, based on electronic transport. The method is applied to…

Materials Science · Physics 2015-11-30 Georgy Samsonidze , Boris Kozinsky

Interfaces impede heat flow in micro/nanostructured systems. Conventional theories for interfacial thermal transport were derived based on bulk phonon properties of the materials making up the interface without explicitly considering the…

Using the phonon Boltzmann transport formalism and density functional theory based calculations, we show that stanene has a low thermal conductivity. For a sample size of 1$\times$1 $\mu$m$^{2}$ ($L\times W$), the lattice thermal…

Mesoscale and Nanoscale Physics · Physics 2016-05-02 Arun S. Nissimagoudar , Aaditya Manjanath , Abhishek K. Singh

One-dimensional particle chains are fundamental models to explain anomalous thermal conduction in low-dimensional solids like nanotubes and nanowires. In these systems the thermal energy is carried by phonons, i.e. propagating lattice…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Francesco De Vita , Giovanni Dematteis , Raffaele Mazzilli , Davide Proment , Yuri V. Lvov , Miguel Onorato

Heat conduction by phonons is a ubiquitous process that incorporates a wide range of physics and plays an essential role in applications ranging from space power generation to LED lighting. Heat conduction has been studied for over two…

Mesoscale and Nanoscale Physics · Physics 2014-05-06 Austin J. Minnich

One-dimensional electrons with a linearized dispersion relation are equivalent to a collection of harmonic plasmon modes, which represent long wavelength density oscillations. An immediate consequence of this Luttinger model of…

Strongly Correlated Electrons · Physics 2015-06-18 Stanislav Apostolov , Dong E. Liu , Zakhar Maizelis , Alex Levchenko

We develop a Born-Oppenheimer type formalism for the description of quantum thermal transport along hybrid nanoscale objects. Our formalism is suitable for treating heat transfer in the off-resonant regime, where e.g., the relevant…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Lian-Ao Wu , Dvira Segal

Steady-state thermal transport in nanostructures with dimensions comparable to the phonon mean-free-path is examined. Both the case of contacts at different temperatures with no internal heat generation and contacts at the same temperature…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Jan Kaiser , Tianli Feng , Jesse Maassen , Xufeng Wang , Xiulin Ruan , Mark Lundstrom

We study the effect of the electron-phonon interaction on the finite frequency dependent electronic thermal conductivity of two dimensional graphene. We calculate it for various acoustic phonons present in graphene and characterized by…

Strongly Correlated Electrons · Physics 2017-04-07 Pankaj Bhalla

We discuss the low-frequency response of charge and heat transport to oscillatory voltage and temperature shifts in mesoscopic capacitors. We obtain within scattering theory generic expressions for the quantum admittances up to second order…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 Jong Soo Lim , Rosa Lopez , David Sanchez

While phonon topology in crystalline solids has been extensively studied, its influence on thermal transport-especially in nanostructures-remains elusive. Here, by combining first-principles-based machine learning potentials with the phonon…

Materials Science · Physics 2025-12-23 Zhe Su , Shuoran Song , Qi Wang , Jian-Hua Jiang

Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Jesse Maassen , Mark Lundstrom

Coherent thermal transport in nanopatterned structures is a topic of considerable interest, but whether it occurs in certain structures remains unclear due to poor understanding of which phonons conduct heat. Here, we perform the first…

Materials Science · Physics 2020-06-26 Navaneetha K. Ravichandran , Austin J. Minnich

We study the large scale evolution of a scalar lattice excitation which satisfies a discrete wave-equation in three dimensions. We assume that the dispersion relation associated to the elastic coupling constants of the wave-equation is…

Mathematical Physics · Physics 2008-11-06 Lisa Harris , Jani Lukkarinen , Stefan Teufel , Florian Theil

We have determined the thermal conductance of a system consisting of a two-level atom coupled to two quantum harmonic oscillators in contact with heat reservoirs at distinct temperatures. The calculation of the heat flux as well as the…

Statistical Mechanics · Physics 2017-04-07 Pedro H. Guimarães , Gabriel T. Landi , Mário J. de Oliveira

We show that the local temperature dependence of thermalized electron and phonon populations along metallic carbon nanotubes is the main reason behind this non-linear transport characteristics in the high bias regime. Our model that…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. A. Kuroda , J. -P. Leburton

The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 M. C. Cross , Ron Lifshitz

In low-dimensional systems, the combination of reduced dimensionality, strong interactions, and topology has led to a growing number of many-body quantum phenomena. Thermal transport, which is sensitive to all energy-carrying degrees of…