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The anomalous behavior of electron induced phonon transport is investigated using an Anderson-Holstein based dissipative quantum dot setup under two relevant bias situations: (a) a voltage bias in the absence of an electronic temperature…

Mesoscale and Nanoscale Physics · Physics 2018-11-30 Bitan De , Bhaskaran Muralidharan

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 study the quantum transport and the nonequilibrium vibrational states of a quantum dot embedded between a normal and a superconducting lead with the charge on the quantum dot linearly coupled to a harmonic oscillator of frequency…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Pascal Stadler , Wolfgang Belzig , Gianluca Rastelli

The topic of this review is the effects of electron-phonon interaction (EPI) on the transport properties of molecular nano-conductors. A nano-conductor connects to two electron leads and two phonon leads, possibly at different temperatures…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Jing-Tao Lü , Hangbo Zhou , Jin-Wu Jiang , Jian-Sheng Wang

We present an analysis of the transient electronic and transport properties of a nanojunction in the presence of electron-electron and electron-phonon interactions. We introduce a novel numerical approach which allows for an efficient…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 R. Seoane Souto , R. Avriller , A. Levy Yeyati , A. Martín-Rodero

Electron transport in periodic quantum dot arrays in the presence of interactions with phonons was investigated using the formalism of nonequilibrium Green's functions. The self-consistent Born approximation was used to model the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Nenad Vukmirović , Zoran Ikonić , Dragan Indjin , Paul Harrison

The conductance through a mesoscopic system of interacting electrons coupled to two adjacent leads is conventionally derived via the Keldysh nonequilibrium Green's function technique, in the limit of noninteracting leads [see Y. Meir…

Strongly Correlated Electrons · Physics 2012-08-16 Yuan Li , Mansoor B. A. Jalil , Seng Ghee Tan

We have presented a consistent electronic transport framework for the two-dimensional extended Holstein's organic molecular-crystal based upon complete quantum-mechanical treatment through the non-equilibrium Green's function (NEGF)…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 Bhupesh Bishnoi

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

Phonon-phonon interaction is systematically studied by nonequilibrium Green's function (NEGF) formulism in momentum space at finite temperatures. Within the quasi-particle approximation, phonon frequency shift and lifetime are obtained from…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yong Xu , Jian-Sheng Wang , Wenhui Duan , Bing-Lin Gu , Baowen Li

We analyze theoretically the effects of electron-electron and electron-phonon interactions in the dynamics of a system of a few electrons that can be trapped to a localized state and detrapped to an extended band state of a small quantum…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 R. Carmina Monreal

A time-dependent inelastic electron transport theory for strong electron-phonon interaction is established via the equations of motion method combined with the small polaron transformation. In this work, the dissipation via electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2015-05-21 Yu Zhang , ChiYung Yam , GuanHua Chen

We theoretically study the electrical transport properties of a single level quantum dot connected to two normal conducting leads, which is coupled to the lattice vibrations. We determine the current through the quantum dot in two different…

Mesoscale and Nanoscale Physics · Physics 2020-09-01 Levente Máthé , Ioan Grosu

We calculate the nonequilibrium conductance through a molecule or a quantum dot in which the occupation of the relevant electronic level is coupled with intensity $\lambda$ to a phonon mode, and also to two conducting leads. The system is…

Strongly Correlated Electrons · Physics 2015-06-15 P. Roura-Bas , L. Tosi , A. A. Aligia

The nonequilibrium dynamics of a quantum dot with electron-phonon interactions described by a generalized Holstein model is presented. A combination of methodologies including the reduced density matrix formalism, the multilayer…

Strongly Correlated Electrons · Physics 2015-06-18 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

On the basis of the nonequilibrium Green's function and nonperturbative canonical transformation for the local electron-phonon interaction (EPI), the quantum transport through a single-molecule transistor(SMT) has been investigated with a…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Zuo-Zi Chen , Rong Lü , Bang-fen Zhu

We investigate the spectral and transport properties of parallel double-quantum-dot (DQD) system with interdot tunneling coupling in both the equilibrium and nonequilibrium cases. The special geometry of DQD system is considered, in which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rong Lu , Zhi-Rong Liu , Guang-Ming Zhang

We calculate the single-particle Green's function of electrons that are coupled to acoustic phonons by means of higher dimensional bosonization. This non-perturbative method is {\it{not}} based on the assumption that the electronic system…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

The electron transport properties of a four-terminal molecular device are computed within the framework of density functional theory and non-equilibrium Keldysh theory. The additional two terminals lead to new properties, including a…

Mesoscale and Nanoscale Physics · Physics 2009-09-01 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier

We investigate two equivalent capacitively and tunnel coupled quantum dots, each coupled to its own pair of leads. Local Holstein type electron-phonon coupling at the dots is assumed. To study many-body effects we use the finite-U…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 D. Krychowski , S. Lipiński