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Related papers: Nonequilibrium transport through the Hubbard dimer

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We consider the Gibbs representation over space-time of non-equilibrium dynamics of Hamiltonian systems defined on a lattice with local interactions. We first write the corresponding action functional as a sum of local terms, defining a…

Mathematical Physics · Physics 2009-11-11 Raphael Lefevere

We develop a time dependent second order Green's function theory (GF2) for calculating neutral excited states in molecules. The equation of motion for the lesser Green's function (GF) is derived within the adiabatic approximation to the…

Chemical Physics · Physics 2022-01-19 Wenjie Dou , Joonho Lee , David R. Reichman , Roi Baer , Eran Rabani

We present an efficient numerical approach for treating ballistic quantum transport across devices described by tight binding (TB) Hamiltonians designated to systems with localized potential defects. The method is based on the wave function…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

We derive an exact mapping from the action of nonequilibrium dynamical mean-field theory (DMFT) to a single-impurity Anderson model (SIAM) with time-dependent parameters, which can be solved numerically by exact diagonalization. The…

Strongly Correlated Electrons · Physics 2013-12-06 Christian Gramsch , Karsten Balzer , Martin Eckstein , Marcus Kollar

Quantum transport through single molecules is essentially affected by molecular vibrations. We investigate the behavior of the prototype single-level model with intermediate electron-vibron coupling and arbitrary coupling to the leads. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dmitry A. Ryndyk , Gianaurelio Cuniberti

The main goal of this paper is to put on solid mathematical grounds the so-called Non-Equilibrium Green's Function (NEGF) transport formalism for open systems. In particular, we derive the Jauho-Meir-Wingreen formula for the time-dependent…

Mathematical Physics · Physics 2017-12-12 H. D. Cornean , V. Moldoveanu , C. -A. Pillet

We study three-terminal linear and nonlinear transport through an Aharonov-Bohm interferometer containing a double quantum dot using the nonequilibrium Green's function method. Under the condition that one of the three terminals is a…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Toshihiro Kubo , Yuki Ichigo , Yasuhiro Tokura

We present a method which uses density functional theory (DFT) to treat transport through a single molecule connected to two conducting leads for the weak and intermediate coupling. This case is not accessible to standard non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 Fatemeh Mirjani , Joseph M. Thijssen

The Green's function formalism in Condensed Matter Physics is reviewed within the equation of motion approach. Composite operators and their Green's functions naturally appear as building blocks of generalized perturbative approaches and…

Statistical Mechanics · Physics 2007-05-23 Ferdinando Mancini , Adolfo Avella

We simulate the nonequilibrium dynamics of two generic many-body quantum impurity models by employing the recently developed iterative influence-functional path integral method [Phys. Rev. B {\bf 82}, 205323 (2010)]. This general approach…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Dvira Segal , Andrew J. Millis , David R. Reichman

We study transport through an interacting model system consisting of a central correlated site coupled to finite bandwidth tight-binding leads, which are considered as effectively noninteracting. Its nonequilibrium properties are determined…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 A. -M. Uimonen , E. Khosravi , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

We propose a first-principles method of efficiently evaluating electron-transport properties of very long systems. Implementing the recursive Green's function method and the shifted conjugate gradient method in the transport simulator based…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Yoshiyuki Egami , Shigeru Tsukamoto , Tomoya Ono

We provide a systematic approach to compute different kinds of non-equilibrium Green's functions for open quantum systems which are essentially two-point correlation functions in time. We reveal that the definition of Green's functions…

Statistical Mechanics · Physics 2023-09-08 Katha Ganguly , Bijay Kumar Agarwalla

The theoretical investigation of charge (and spin) transport at nanometer length scales requires the use of advanced and powerful techniques able to deal with the dynamical properties of the relevant physical systems, to explicitly include…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. A. Ryndyk , R. Gutierrez , B. Song , G. Cuniberti

We propose a fast and versatile algorithm to calculate local and transport properties such as conductance, shot noise, local density of state or local currents in mesoscopic quantum systems. Within the non equilibrium Green function…

Mesoscale and Nanoscale Physics · Physics 2008-03-18 Kyryl Kazymyrenko , Xavier Waintal

The dynamics of strongly correlated fermions following an external excitation reveals extremely rich collective quantum effects. Examples are fermionic atoms in optical lattices, electrons in correlated materials, and dense quantum plasmas.…

Strongly Correlated Electrons · Physics 2020-02-26 Niclas Schluenzen , Jan-Philip Joost , Michael Bonitz

We study the non-equilibrium dynamics of small, strongly correlated clusters, described by a Hubbard Hamiltonian, by propagating in time the Kadanoff-Baym equations within the Hartree-Fock, 2nd Born, GW and T-matrix approximations. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Marc Puig von Friesen , Claudio Verdozzi , Carl-Olof Almbladh

Due to random dopant fluctuations, the device-to-device variability is a serious challenge to emerging nanoelectronics. In this work we present theoretical formalisms and numerical simulations of quantum transport variability, based on the…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 Yu Zhu , Lei Liu , Hong Guo

We describe some exact high-energy properties of a single Anderson impurity connected to two noninteracting leads in a nonequilibrium steady state. In the limit of high bias voltages, and also in the high-temperature limit at thermal…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Akira Oguri , Rui Sakano

This research demonstrates analytical time-dependent non-equilibrium green function (TD-NEGF) algorithms to investigate dynamical functionalities of quantum devices, especially for photon-assisted transports. Together with the lumped…

Mesoscale and Nanoscale Physics · Physics 2021-06-08 I-Lin Ho