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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 obtain the phase diagram of the half-filled two-dimensional Hubbard model on a square lattice in the presence of Einstein phonons. We find that the interplay between the instantaneous electron-electron repulsion and electron-phonon…

Strongly Correlated Electrons · Physics 2007-05-23 F. D. Klironomos , S. -W. Tsai

We use a simple iterative perturbation theory to study the singlet-triplet (ST) transition in lateral and vertical quantum dots, modeled by the non-equilibrium two-level Anderson model. To a great surprise, the region of stable perturbation…

Strongly Correlated Electrons · Physics 2011-11-24 Bertalan Horváth , Bence Lazarovits , Gergely Zaránd

The finite-temperature transport properties of the spinless interacting fermion model coupled to non-interacting leads are investigated. Employing the unrestricted time-dependent Hartree-Fock (HF) approximation, the transmission probability…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Christian Schiegg , Michael Dzierzawa , Ulrich Eckern

We model a small quantum dot with a magnetic impurity by the Anderson Hamiltonian with a supplementary exchange interaction term. The transport calculations are performed by means of the Green functions within the equation of motion scheme,…

Materials Science · Physics 2015-06-25 Mugurel Tolea , Bogdan R. Bulka

We calculate the non-equilibrium electronic transport properties of a one-dimensional interacting chain at half filling, coupled to non-interacting leads. The interacting chain is initially in a Mott insulator state that is driven out of…

Strongly Correlated Electrons · Physics 2010-11-11 F. Heidrich-Meisner , I. Gonzalez , K. A. Al-Hassanieh , A. E. Feiguin , M. J. Rozenberg , E. Dagotto

We simulate the dynamics of a single-electron source, modeled as a quantum dot with on-site Coulomb interaction and tunnel coupling to an adjacent lead, in time-dependent density functional theory. Based on this system, we develop a…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Niklas Dittmann , Janine Splettstoesser , Nicole Helbig

Anderson transition of the phonon modes is studied numerically. The critical exponent for the divergence of the localization length is estimated using the transfer matrix method, and the statistics of the modes is analyzed. The latter is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yasuyuki Akita , Tomi Ohtsuki

We analyze Cooper pairing instabilities in strongly driven electron-phonon systems. The light-induced non-equilibrium state of phonons results in a simultaneous increase of the superconducting coupling constant and the electron scattering.…

Superconductivity · Physics 2016-12-16 Michael Knap , Mehrtash Babadi , Gil Refael , Ivar Martin , Eugene Demler

The paper deals with the nonequilibrium two-lead Anderson model, considered as an adequate description for transport through a d-c biased quantum dot. Using a self-consistent equation-of-motion method generalized out of equilibrium, we…

Strongly Correlated Electrons · Physics 2011-03-11 Raphaël Van Roermund , Shiue-yuan Shiau , Mireille Lavagna

We present results on the dynamical correlation functions of the particle-hole symmetric Holstein-Hubbard model at zero temperature, calculated using the dynamical mean field theory which is solved by the numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-10 W. Koller , D. Meyer , A. C. Hewson

We study the effects of anharmonicity on the physics of the Holstein model, which describes the coupling of itinerant fermions and localized quantum phonons, by introducing a quartic term in the phonon potential energy. We find that the…

Strongly Correlated Electrons · Physics 2021-06-01 G. Paleari , F. Hébert , B. Cohen-Stead , K. Barros , R. T. Scalettar , G. G. Batrouni

In this paper we analyze transport through a double dot system connected to two external leads. Imagining each dot possessing a single active level, we model the system through a generalization of the Anderson model. We argue that this…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Robert M. Konik

Eliashberg theory provides a theoretical framework for understanding the phenomenon of superconductivity when pairing between two electrons is mediated by phonons, and retardation effects are fully accounted for. However, when a direct…

Superconductivity · Physics 2022-05-24 F. Marsiglio

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

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

The Holstein model has been widely accepted as a model comprising electrons interacting with phonons; analysis of this model's ground states was accomplished two decades ago. However, the results were obtained without completely taking…

Mathematical Physics · Physics 2016-05-10 Tadahiro Miyao

We investigate the dynamics of a phonon-mediated superconductor driven out of equilibrium. The electronic hopping amplitude is ramped down in time, resulting in an increased electronic density of states. The dynamics of the coupled…

Superconductivity · Physics 2016-04-12 M. A. Sentef , A. F. Kemper , A. Georges , C. Kollath

We study the effects of time-independent nonequilibrium drive on an open 2D electron gas system coupled to 2D longitudinal acoustic phonons using the Keldysh path integral method. The layer electron-phonon system is defined at the…

Strongly Correlated Electrons · Physics 2009-11-13 So Takei , Yong Baek Kim

We developed a theory of charge transport in a system of non-interacting polarons. The theory was conducted to a compact relation through a nonperturbative method based on electron-phonon Hamiltonian. The derived final result represents…

Other Condensed Matter · Physics 2012-03-15 F. Marsusi , J. Sabbaghzadeh