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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

We consider resonant transport through a molecular quantum dot coupled to a local vibration mode. Applying the non-equilibrium Green function technique in the polaron representation, we develop a non-perturbative scheme to calculate the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Alex Zazunov , Thierry Martin

The transition probability for a one dimensional tunneling electron coupled to acoustical phonons is calculated, with the Feynman path-integral method for zero temperature. We considered a realistic electron phonon interaction (deformation…

Condensed Matter · Physics 2009-10-31 E. Pazy , B. Laikhtman

Thermoelectric properties of a two-level molecule attached to the metallic electrodes are analyzed using the equation of motion technique within the Green function formalism. Results show that the electrical conductance is strongly…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 M. Bagheri Tagani , H. Rahimpour Soleimani

Heating and heat conduction in molecular junctions are considered within a general NEGF formalism. We obtain a unified description of heating in current carrying molecular junctions as well as the electron and phonon contributions to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Mark A. Ratner , Abraham Nitzan

We consider transport through a vibrating molecular quantum dot contacted to macroscopic leads acting as charge reservoirs. In the equilibrium and nonequilibrium regime, we study the formation of a polaron-like transient state at the…

Strongly Correlated Electrons · Physics 2015-06-04 T. Koch , H. Fehske , J. Loos

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

We study coherent transport through a double quantum dot. Its two electronic leads induce electronic matter and energy transport and a phonon reservoir contributes further energy exchanges. By treating the system-lead couplings…

Statistical Mechanics · Physics 2015-04-07 Thilo Krause , Tobias Brandes , Massimiliano Esposito , Gernot Schaller

We review the description and modeling of transport phenomena among the electron systems coupled via scalar or vector photons. It consists of three parts. The first part is about scalar photons, i.e., Coulomb interactions. The second part…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Jian-Sheng Wang , Jiebin Peng , Zu-Quan Zhang , Yong-Mei Zhang , Tao Zhu

We present a general nonequilibrium Green's function formalism for modeling heat transfer in systems characterized by linear response that establishes the formal algebraic relationships between phonon and radiative conduction, and reveals…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Prashanth S. Venkataram , Riccardo Messina , Juan Carlos Cuevas , Philippe Ben-Abdallah , Alejandro W. Rodriguez

We present a theoretical study of time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator within the non-equilibrium Green's function technique. An arbitrary voltage is applied to the tunnel…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Tahir , A. MacKinnon

We employ the functional renormalization group to study the effects of phonon-assisted tunneling on the nonequilibrium steady-state transport through a single level molecular quantum dot coupled to electronic leads. Within the framework of…

Strongly Correlated Electrons · Physics 2018-12-18 A. Khedri , T. A. Costi , V. Meden

Quantum thermal transport and two-photon statistics serve as two representative nonequilibrium features in circuit quantum electrodynamics systems. Here, we investigate quantum heat flow and two-photon correlation function at steady-state…

Quantum Physics · Physics 2021-09-07 Zhe-Huan Chen , Han-Xin Che , Zhe-Kai Chen , Chen Wang , Jie Ren

We have developed a new theoretical formalism for phonon transport in nanostructures using the nonequilibrium phonon Green's function technique and have applied it to thermal conduction in defective carbon nanotubes. The universal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Takahiro Yamamoto , Kazuyuki Watanabe

Based on generalized quantum Langevin equations for the tight-binding wave function amplitudes and lattice displacements, electron and phonon quantum transport are obtained exactly using molecular dynamics (MD) in the ballistic regime. The…

Mesoscale and Nanoscale Physics · Physics 2009-01-02 J. T. Lu , Jian-Sheng Wang

We analyze the effect of electron-phonon coupling on the full counting statistics of a molecular junction beyond the lowest order perturbation theory. Our approach allows to take into account analytically the feedback between the…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 D. F. Urban , R. Avriller , A. Levy Yeyati

Based on the algebraic equation of motion (AEOM) method, we investigate the transport properties of a quantum dot. We obtain an analytical expression for the dot electron single-particle Green's function, and based on this expression, we…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Jiangqi Mao , Houmin Du , Yuliang Liu

Nonequilibrium charge transport through a trimer molecular transistor composed of three quantum dots arranged in a triangular geometry, which is placed on a substrate, has been studied in the presence of electron electron and electron…

Mesoscale and Nanoscale Physics · Physics 2025-11-19 Hemant Kumar Sharma

In the present work, we study heat transport through a one dimensional time-dependent nanomechanical system. The microscopic model consists of coupled chains of atoms, considering local and non-local interactions between particles. We show…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Natalia Beraha , M. Florencia Carusela , Alejandro Soba