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We use the recently proposed scattering states numerical renormalization group (SNRG) approach to calculate $I(V)$ and the differential conductance through a single molecular level coupled to a local molecular phonon. We also discuss the…

Strongly Correlated Electrons · Physics 2015-06-12 Andre Jovchev , Frithjof Anders

Strong radial confinement in semiconductor nanowires leads to modified electronic and phononic energy spectra. We analyze the current response to the interplay between quantum confinement effects of the electron and phonon systems in a…

Mesoscale and Nanoscale Physics · Physics 2010-02-15 C. Weber , A. Fuhrer , C. Fasth , G. Lindwall , L. Samuelson , A. Wacker

We investigate the influences of the electron-phonon interaction on the transport properties of one quantum-dot system with a side-coupled Majorana zero mode (MZM). Our calculation results show that at the zero-temperature limit, the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Xiao-Qi Wang , B. H. Wu , Shu-Feng Zhang , Qi Wang , Wei-Jiang Gong

We investigate theorerically the non-equilibrium transport through a molecular quantum dot as a function of gate and bias voltage, taking into account the typical situation in molecular electronics. In this respect, our study includes…

Mesoscale and Nanoscale Physics · Physics 2015-08-03 A. A. Aligia , P. Roura Bas , S. Florens

The transport properties of a conduction junction model characterized by two mutually coupled channels that strongly differ in their couplings to the leads are investigated. Models of this type describe molecular redox junctions (where a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Alexander J. White , Agostino Migliore , Michael Galperin , Abraham Nitzan

We show that an Anderson Hamiltonian describing a quantum dot connected to multiple leads is integrable. A general expression for the non-linear conductance is obtained by combining the Bethe ansatz exact solution with Landauer-B\"uttiker…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sam Young Cho , Huan-Qiang Zhou , Ross H. McKenzie

We develop a theory of electron transport in a double quantum dot device recently proposed for the observation of the two-channel Kondo effect. Our theory provides a strategy for tuning the device to the non-Fermi-liquid fixed point, which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. Borda , L. I. Glazman , J. von Delft

In cavity optomechanics, nanomechanical motion couples to a localized optical mode. The regime of single-photon strong coupling is reached when the optical shift induced by a single phonon becomes comparable to the cavity linewidth. We…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Max Ludwig , Amir H. Safavi-Naeini , Oskar Painter , Florian Marquardt

We analyze the nonequilibrium transport properties of a parallel double quantum dot in terms of its full counting statistics (FCS). The parameters of the setup are assumed to be such that both subsystems are driven into the Kondo regime.…

Mesoscale and Nanoscale Physics · Physics 2011-11-04 D. Breyel , A. Komnik

We present a theoretical study of time-dependent transport via a quantum shuttle within the non-equilibrium Green's function technique. An arbitrary voltage is applied to the tunnel junction and electrons in the leads are considered to be…

Mesoscale and Nanoscale Physics · Physics 2011-05-30 Muhammad Tahir , Angus MacKinnon

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

We consider an open molecular junction in which electrons are coupled to multi-mode phonons. Using a master equation approach for equilibrated phonons, we show that nearly-degenerate phonon modes can be mapped into an effective single mode,…

Mesoscale and Nanoscale Physics · Physics 2021-09-07 Amir Eskandari-asl

We calculate the electron-phonon interaction coefficients for surface acoustic waves and for phonons in free standing quantum wells. These are used to derive the inelastic current through a double quantum dot caused by spontaneous emission…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Debald , T. Vorrath , T. Brandes , B. Kramer

We consider a quantum dot coupled to a topological superconductor and two normal leads and study transport properties of the system. Using Keldysh path-integral approach, we study current fluctuations (shot noise) within the low-energy…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Dong E. Liu , Meng Cheng , Roman M. Lutchyn

We investigate the properties of the molecular quantum dot (Holstein-Anderson) model using numerical and analytical techniques. Path integral Monte Carlo simulations for the cumulants of the distribution function of the phonon coordinate…

Strongly Correlated Electrons · Physics 2015-04-23 Juliane Klatt , Lothar Mühlbacher , Andreas Komnik

Recent developments on studies of transport through quantum dots obtained by applying the time-dependent density matrix renormalization group method are summarized. Some new aspects of Kondo physics which appear in nonequilibrium steady…

Strongly Correlated Electrons · Physics 2015-05-28 Shunsuke Kirino , Kazuo Ueda

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

We consider the dynamics of a quantum particle in a one-dimensional periodic potential (lattice) under the action of a static and time-periodic field. The analysis is based on a nearest-neighbor tight-binding model which allows a convenient…

Quantum Physics · Physics 2008-08-12 A. Klumpp , D. Witthaut , H. J. Korsch

The transport properties of quantum dots with up to N=7 electrons ranging from the weak to the strong interacting regime are investigated via the projected Hartree-Fock technique. As interactions increase radial order develops in the dot,…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 F. Cavaliere , U. De Giovannini , M. Sassetti , B. Kramer

We study thermoelectric transport through a coherent molecular conductor connected to two electron and two phonon baths using the nonequilibrium Green's function method. We focus on the mutual drag between electron and phonon transport as a…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Jing-Tao Lü , Jian-Sheng Wang , Per Hedegård , Mads Brandbyge