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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

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

We present a comprehensive theoretical treatment of the effect of electron-phonon interactions in molecular transistors, including both quantal and classical limits and we study both equilibrated and out of equilibrium phonons. We present…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Mitra , I. Aleiner , A. J. Millis

The linear transport properties of a model molecular transistor with electron-electron and electron-phonon interactions were investigated analytically and numerically. The model takes into account phonon modulation of the electronic energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. S. Cornaglia , D. R. Grempel , H. Ness

We study transport through a double quantum dot system in which each quantum dot is coupled to a phonon mode. Such a system can be realized, e.g., using a suspended carbon nanotube. We find that the interplay between strong electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Stefan Walter , Björn Trauzettel , Thomas L. Schmidt

We present a detailed theoretical investigation of the effect of Coulomb interactions on electron transport through quantum dots and double barrier structures connected to a voltage source via an arbitrary linear impedance. Combining real…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dmitri S. Golubev , Andrei D. Zaikin

We study the effects of electron-phonon interactions on the transport properties of a molecular quantum dot coupled to two Luttinger-liquid leads. In particular, we investigate the effects on the steady state current and DC noise…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 So Takei , Yong Baek Kim , Aditi Mitra

To describe the interaction of molecular vibrations with electrons at a quantum dot contacted to metallic leads, we extend an analytical approach that we previously developed for the many-polaron problem. Our scheme is based on an…

Strongly Correlated Electrons · Physics 2015-05-13 J Loos , T Koch , A Alvermann , A R Bishop , H Fehske

In this paper, we investigate the quantum transport of a double quantum dot coupled with a nanomechanical resonator at arbitrary strong electron-phonon coupling regimes. We employ the generalized quantum master equation to study full…

Mesoscale and Nanoscale Physics · Physics 2012-04-22 Chen Wang , Jie Ren , Baowen Li , Qing-Hu Chen

In this work, we have investigated conduction through an artificial molecule comprising two coupled quantum dots. The question addressed is the role of inter-dot coupling on electronic transport. We find that the current through the…

Mesoscale and Nanoscale Physics · Physics 2011-09-22 M. Imran , B. Tariq , M. Tahir , K. Sabeeh

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

Electron transport through a double quantum dot system is studied with taking into account electron-phonon interaction. The Keldysh nonequilibrium Green function formalism is used to compute the current and transmission coefficient of the…

Mesoscale and Nanoscale Physics · Physics 2012-04-11 M. Bagheri Tagani , H. Rahimpour Soleimani

Employing the nonequilibrium Green's function method, we develop a fully quantum mechanical model to study the coupled electron-phonon transport in one-dimensional atomic junctions in the presence of a weak electron-phonon interaction. This…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 J. T. Lü , Jian-Sheng Wang

The relaxation of electrons in quantum dots via phonon emission is hindered by the discrete nature of the dot levels (phonon bottleneck). In order to clarify the issue theoretically we consider a system of $N$ discrete fermionic states (dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Stauber , R. Zimmermann , H. Castella

Spin-dependent transport through a two-level quantum dot in the sequential tunneling regime is analyzed theoretically by means of a real-time diagrammatic technique. It is shown that the current, tunnel magnetoresistance, and shot noise…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. Weymann , J. Barnas

We investigate the transient effects occurring in a molecular quantum dot described by an Anderson-Holstein Hamiltonian which is instantly coupled to two fermionic leads biased by a finite voltage. In the limit of weak electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2010-03-30 R. -P. Riwar , T. L. Schmidt

We present non-perturbative solutions for multi-level quantum dot structures coupled to interacting one-dimensional electrodes out of equilibrium. At a special correlation strength the Hamiltonian can be mapped to the Kondo problem which…

Strongly Correlated Electrons · Physics 2009-11-10 A. Komnik , A. O. Gogolin

We investigate the effect of quantisation of vibrational modes on a system in which the transport path is through a quantum dot mounted on a cantilever or spring such that tunnelling to and from the dot is modulated by the oscillation. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Angus MacKinnon , Andrew D Armour

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

We analyse non-equilibrium transport properties of a single-state molecular quantum dot coupled to a local phonon and contacted by two electrodes. We derive the effective non-equilibrium (Keldysh) action for the phonon mode and study the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander O. Gogolin , Andrei Komnik
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