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We propose a feasible and effective approach to study quantum thermal transport through anharmonic systems. The main idea is to obtain an {\it effective} harmonic Hamiltonian for the anharmonic system by applying the self-consistent phonon…

Statistical Mechanics · Physics 2016-10-19 Dahai He , Juzar Thingna , Jian-Sheng Wang , Baowen Li

The dynamical interplay between electron-electron interactions and electron-phonon coupling is investigated within the Anderson-Holstein model, a minimal model for open quantum systems that embody these effects. The influence of phonons on…

Strongly Correlated Electrons · Physics 2016-05-25 Hsing-Ta Chen , Guy Cohen , Andrew J. Millis , David R. Reichman

In this work we consider a current carrying molecular junction with both electron-phonon and electron-electron interactions taken into account. After performing Lang-Firsov transformation and considering Markov approximations in accordance…

Mesoscale and Nanoscale Physics · Physics 2019-05-06 Amir Eskandari-asl

We develop a theory of far from the equilibrium transport in arrays of tunnel junctions. We find that if the rate of the electron-electron interactions exceeds the rate of the electron-phonon energy exchange, the energy relaxation ensuring…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 N. M. Chtchelkatchev , V. M. Vinokur , T. I. Baturina

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

Statistical Mechanics · Physics 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

Here we present a theoretical analysis of inelastic effects on thermoelectric properties of molecular-scale junction in both linear and nonlinear response regimes. Considered device is composed of molecular quantum dot (with discrete energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Kamil Walczak

We study non-equilibrium electron transport through a quantum dot coupled to metallic leads. We use an alternative equation of motion approach in which we calculate the retarded Green function of the impurity by differentiating Green…

Mesoscale and Nanoscale Physics · Physics 2014-12-23 Grzegorz Górski , Jerzy Mizia , Krzysztof Kucab

We study the principal aspects of the interaction between acoustic phonons and two-dimensional electrons in quantizing magnetic fields corresponding to even denominator fractions. Using the composite fermion approach we derive the vertex of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 D. V. Khveshchenko , M. Reizer

We analyze the transport properties of a quantum dot with a harmonic degree of freedom (Holstein phonon) coupled to interacting one-dimensional metallic leads. Using Tomonaga-Luttinger model to describe the interacting leads we construct…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 S. Maier , A. Komnik

We present a combined treatment of the non-equilibrium dynamics and transport of electrons and phonons by carrying out \textit{ab initio} calculations of the fully coupled electron and phonon Boltzmann transport equations. We find that the…

Materials Science · Physics 2020-12-30 Nakib H. Protik , Boris Kozinsky

The coupling of the charge carriers passing through a molecule bridging two bulky conductors with local vibrational modes of the molecule, gives rise to distinct features in the electronic transport properties on one hand, and to…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 A. Ueda , Y. Utsumi , Y. Tokura , O. Entin-Wohlman , A. Aharony

We present a conceptually simple method for treating electron-phonon scattering and phonon limited mobilities. By combining Green's function based transport calculations and molecular dynamics (MD), we obtain a temperature dependent…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Troels Markussen , Mattias Palsgaard , Daniele Stradi , Tue Gunst , Mads Brandbyge , Kurt Stokbro

We present a detailed treatment of the nonequilibrium Green's function method for thermal transport due to atomic vibrations in nanostructures. Some of the key equations, such as self-energy and conductance with nonlinear effect, are…

Statistical Mechanics · Physics 2011-11-09 Jian-Sheng Wang , Nan Zeng , Jian Wang , Chee Kwan Gan

Non-equilibrium Green's function theory for non-adiabatic effects in quantum transport [Kershaw and Kosov, J.Chem. Phys. 2017, 147, 224109 and J. Chem. Phys. 2018, 149, 044121] is extended to the case of interacting electrons. We consider a…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Vincent F. Kershaw , Daniel S. Kosov

We present an approach to calculate ballistic phonon transport that combines the atomistic Green's function (AGF) method with ab initio results. For the inter atomic potential we use the harmonic approach. The equilibrium positions of the…

Materials Science · Physics 2011-11-11 M. Bachmann , M. Czerner , S. Edaldati-Boostan , C. Heiliger

We study the effect of electron-phonon interaction on current and zero-frequency shot noise in resonant tunneling through a series triple-quantum-dot coupling to a local phonon mode by means of a nonperturbative mapping technique along with…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 X. Y. Shen , Bing Dong , X. L. Lei

In this work we consider the hydrodynamic behavior of a coupled electron-phonon fluid, focusing on electronic transport under the conditions of strong phonon drag. This regime occurs when the rate of phonon equilibration due to e.g. umklapp…

Mesoscale and Nanoscale Physics · Physics 2020-06-15 Alex Levchenko , Jörg Schmalian

In this work, we use a combination of first-principles calculations under the density functional theory framework and heat transport simulations using the atomistic Green's function (AGF) method to quantitatively predict the contribution of…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Sridhar Sadasivam , Ning Ye , James Charles , Kai Miao , Joseph P. Feser , Tillmann Kubis , Timothy S. Fisher

We study electron transport in nanojunctions in which an electron on a quantum dot or a molecule is interacting with an N-state local impurity, a harmonic ("Holstein") mode, or a two-state system ("spin"). These two models, the…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 Lena Simine , Dvira Segal

Molecule-electrode interfaces in molecular electronic junctions are prone to chemical reactions, structural changes, and localized heating effects caused by electric current. These can be exploited for device functionality or may be…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Riley J. Preston , Vincent F. Kershaw , Daniel S. Kosov
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