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The density of ions trapped in a harmonic potential in one dimension is not uniform. Consequently the eigenmodes are not phonons. We calculate the long wavelength modes in the continuum limit, and evaluate the density of states in the short…

Statistical Mechanics · Physics 2009-11-10 Giovanna Morigi , Shmuel Fishman

The Anderson localization of thermal phonons has been shown only in few nano-structures with strong random disorder by the exponential decay of transmission to zero and a thermal conductivity maximum when increasing system length. In this…

Mesoscale and Nanoscale Physics · Physics 2021-09-20 Yangyu Guo , Marc Bescond , Zhongwei Zhang , Shiyun Xiong , Kazuhiko Hirakawa , Masahiro Nomura , Sebastian Volz

This work studies heat transport of bond-disordered spin-1/2 chains. As an example, the XX case is analyzed, which corresponds to a model of noninteracting spinless fermions. Within the fermion representation, the single-particle…

Strongly Correlated Electrons · Physics 2007-05-23 Fabian Heidrich-Meisner

We use temperature tuning to control signal propagation in simple one-dimensional arrays of masses connected by hard anharmonic springs and with no local potentials. In our numerical model a sustained signal is applied at one site of a…

Statistical Mechanics · Physics 2009-11-07 R. Reigada , A. Sarmiento , K. Lindenberg

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

Graphene exhibits extraordinary electronic and mechanical properties, and extremely high thermal conductivity. Being a very stable atomically thick membrane that can be suspended between two leads, graphene provides a perfect test platform…

We provide molecular dynamics simulation of heat transport and thermal energy diffusion in one-dimensional molecular chains with different interparticle pair potentials at zero and non-zero temperature. We model the thermal conductivity…

Mesoscale and Nanoscale Physics · Physics 2015-09-11 Yuriy A. Kosevich , Alexander V. Savin

In this work we investigate heat conduction along a ladder-model conformed by two coupled one dimensional lattices with different anharmonicity. We study how the interchain coupling modifies the thermal properties of the isolated systems.…

Statistical Mechanics · Physics 2011-03-18 E. Diaz , R. Gutierrez , G. Cuniberti

We study numerically the form of the conductance distribution in the non-metallic regime for (1) weakly disordered systems which become insulating due to increase of the system length and (2) cubic d-dimensional systems, in which…

Condensed Matter · Physics 2007-05-23 Peter Markos

Phonon coherence elucidates the propagation and interaction of phonon quantum states within superlattice, unveiling the wave-like nature and collective behaviors of phonons. Taking MoSe$_2$/WSe$_2$ lateral heterostructures as a model…

Materials Science · Physics 2025-03-11 Xin Wu , Zhang Wu , Ting Liang , Zheyong Fan , Jianbin Xu , Masahiro Nomura , Penghua Ying

Heat conduction in three types of 1D channels are studied. The channels consist of two parallel walls, right triangles as scattering obstacles, and noninteracting particles. The triangles are placed along the walls in three different ways:…

Statistical Mechanics · Physics 2009-11-07 Baowen Li , Lei Wang , Bambi Hu

The effect of an electric field on conduction in a disordered system is an old but largely unsolved problem. Experiments cover an wide variety of systems - amorphous/doped semiconductors, conducting polymers, organic crystals, manganites,…

Disordered Systems and Neural Networks · Physics 2015-06-15 K. K. Bardhan , D. Talukdar , U. N. Nandi , C. D. Mukherjee

In the study of the anomalous Hall effect, the scaling relations between the anomalous Hall and longitudinal resistivities play the central role. The scaling parameters by definition are fixed as the scaling variable (longitudinal…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Cong Xiao , Hailong Zhou , Qian Niu

Carbon atomic chain, linear benzene polymers, and carbon nanothreads are all one-dimensional (1D) ultrathin carbon structures. They possess excellent electronic and mechanical properties; however, their thermal transport properties have…

Materials Science · Physics 2020-01-08 Jing Xue , Yuee Xie1 , Qing Peng , Yuanping Chen

We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Abhishek Dhar , J. L. Lebowitz

We numerically study the distribution function of the conductance (transmission) in the one-dimensional tight-binding Anderson and periodic-on-average superlattice models in the region of fluctuation states where single parameter scaling is…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. I. Deych , M. V. Erementchouk , A. A. Lisyansky , Alexey Yamilov , Hui Cao

Recent simulation results on heat conduction in a one-dimensional chain with an asymmetric inter-particle interaction potential and no onsite potential found non-anomalous heat transport in accordance to Fourier's law. This is a surprising…

Statistical Mechanics · Physics 2015-06-17 Suman G. Das , Abhishek Dhar , Onuttom Narayan

From a systematic study of thermal and charge transport in various single crystals of compensated topological insulators we identify the evolution of a large low-temperature thermal Hall effect as a characteristic common feature. In order…

Strongly Correlated Electrons · Physics 2024-03-14 Rohit Sharma , Mahasweta Bagchi , Yongjian Wang , Yoichi Ando , Thomas Lorenz

Strongly disordered and strongly interacting quantum critical points are difficult to access with conventional field theoretic methods. They are, however, both experimentally important and theoretically interesting. In particular, they are…

High Energy Physics - Theory · Physics 2016-05-04 Sean A. Hartnoll , David M. Ramirez , Jorge E. Santos

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa