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Thermal conductance of a homogeneous 1D nonlinear lattice system with neareast neighbor interactions has recently been computationally studied in detail by Li et al [Eur. Phys. J. B {\bf 88}, 182 (2015)], where its power-law dependence on…

Statistical Mechanics · Physics 2017-06-07 Yunyun Li , Nianbei Li , Ugur Tirnakli , Baowen Li , Constantino Tsallis

We illustrate how to calculate the finite-temperature linear-response conductance of quantum impurity models from the Matsubara Green function. A continued fraction expansion of the Fermi distribution is employed which was recently…

Strongly Correlated Electrons · Physics 2015-05-19 C. Karrasch , V. Meden , K. Schönhammer

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

Statistical Mechanics · Physics 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current…

Statistical Mechanics · Physics 2013-11-13 Lei Wang , Bambi Hu , Baowen Li

A theory of thermal transport in a two-channel Kondo system, such as the one formed by a small quantum dot coupled to two leads and to a larger dot, is formulated. The interplay of the two screening constants allows an exploration of the…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 C. P. Moca , A. Roman , D. C. Marinescu

In a neutral system such as liquid helium-3, transport of mass, heat, and spin provide information analogous to electrical counterparts in metals, superconductors and topological materials. Of particular interest is transport in strongly…

Other Condensed Matter · Physics 2020-10-28 D. Lotnyk , A. Eyal , N. Zhelev , T. S. Abhilash , E. N. Smith , M. Terilli , J. Wilson , E. Mueller , D. Einzel , J. Saunders , J. M. Parpia

We study thermal transport in a chain of coupled atoms, which can vibrate in longitudinal as well as transverse directions. The particles interact through anharmonic potentials upto cubic order. The problem is treated quantum mechanically.…

Statistical Mechanics · Physics 2010-04-19 Santhosh G , Deepak Kumar

The non-linear sigma model is a well-established theoretical tool for studies of transport and thermodynamics in disordered electronic systems. The conventional sigma model approach for interacting systems does not account for particle-hole…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 G. Schwiete

Thermal transport in a quasi-ballistic regime is determined not only by the local temperature $T(r)$, or its gradient $\nabla T(r)$, but also by temperature distribution at neighboring points. For an accurate description of non-local…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 Ali Kefayati , Philip B. Allen , Vasili Perebeinos

A framework for studying the effect of the coupling to the heat bath in models exhibiting anomalous heat conduction is described. The framework is applied to the harmonic chain with momentum exchange model where the non-trivial temperature…

Statistical Mechanics · Physics 2017-02-01 J. Cividini , A. Kundu , A. Miron , D. Mukamel

Strong repulsive interactions within a one dimensional Fermi system in a two-probe configuration normally lead to a reduced off-resonance conductance. We show that if the repulsive interaction extends to the contact regions, a strong…

Strongly Correlated Electrons · Physics 2007-06-18 Dan Bohr , Peter Schmitteckert

In this paper, we address the possibility of generalising the standard analysis of thermal contact between a sample system and a heat bath, by including long range interactions between them. As a concrete example, both system and bath are…

Statistical Mechanics · Physics 2007-05-23 Ramandeep S. Johal , Renuka Rai

The heat conductivity kappa(T) of integrable models, like the one-dimensional spin-1/2 nearest-neighbor Heisenberg model, is infinite even at finite temperatures as a consequence of the conservation laws associated with integrability. Small…

Strongly Correlated Electrons · Physics 2009-11-11 P. Jung , R. W. Helmes , A. Rosch

Thermal transport in highly anharmonic, amorphous, or alloyed materials often deviates from the predictions of conventional phonon-based models. First-principles approaches have introduced a coherent contribution to account for these…

Materials Science · Physics 2025-11-26 Đorđe Dangić

We study the energy transport between two interacting spin chains which are initially separated, held at different temperatures and subsequently put in contact. We consider the spin-1/2 XXZ model in the gapless regime and exploit its…

Statistical Mechanics · Physics 2014-10-15 Andrea De Luca , Jacopo Viti , Leonardo Mazza , Davide Rossini

An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of…

Analysis of PDEs · Mathematics 2021-05-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

We present an open quantum theory for the thermal transport in the Fermi-Pasta-Ulam-$\beta$(FPU-$\beta$) lattice. In the theory, local bosons(LBs) are introduced as carriers for the transport. The LBs are stimulated by individual atoms in…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Li Wan

We provide a stochastic fractional diffusion equation description of energy transport through a finite one-dimensional chain of harmonic oscillators with stochastic momentum exchange and connected to Langevian type heat baths at the…

Statistical Mechanics · Physics 2019-05-22 Aritra Kundu , Cédric Bernardin , Keji Saito , Anupam Kundu , Abhishek Dhar

We study the thermal transport in a two-dimensional system with coexisting superconducting (SC) and nematic orders. We analyze the nature of the coexistence phase in a tight-binding square lattice where the nematic state is modelled as a…

Superconductivity · Physics 2022-05-05 Sourav Sen Choudhury , Sean Peterson , Yves Idzerda

We study conversion of thermal energy to mechanical energy and vice versa in $\alpha$-Fermi-Pasta-Ulam-Tsingou~(FPUT) chain with spatially sinusoidal profile of initial temperature. We show analytically that coupling between macroscopic…

Statistical Mechanics · Physics 2020-04-22 Vitaly A. Kuzkin , Anton M. Krivtsov
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