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We consider the interaction between electrons and molecular vibrations in the context of electronic transport in nanoscale devices. We present a method based on non-equilibrium Green's functions to calculate both equilibrium and…

Mesoscale and Nanoscale Physics · Physics 2010-03-16 L. K. Dash , H. Ness , R. W. Godby

A model is developed describing the energy distribution of quasi-particles in a quasi-one dimensional, normal metal wire, where the transport is diffusive, connected between equilibrium reservoirs. When an ac bias is applied to the wire by…

Mesoscale and Nanoscale Physics · Physics 2017-02-20 Robbert-Jan Dikken

The equilibrium distribution function determines macroscopic observables in statistical physics. While conventional methods correct equilibrium distributions in weakly nonlinear or near-integrable systems, they fail in strongly nonlinear…

Statistical Mechanics · Physics 2025-07-11 Jialin Zhang , Yong Zhang , Hong Zhao

A solid state electronic nanodevice is an intrinsically open quantum system, exchanging both energy with the host material and carriers with connected reservoirs. Its out-of-equilibrium behavior is determined by a non-trivial interplay…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Fabrizio Dolcini , Rita Claudia Iotti , Fausto Rossi

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 develop a mapping of quantum steady-state nonequilibrium to an effective equilibrium and solve the problem using a quantum simulation technique. A systematic implementation of the nonequilibrium boundary condition in steady-state is made…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. E. Han

Quantum transport simulations are essential for understanding and designing nanoelectronic devices, yet the long-standing trade-off between accuracy and computational efficiency has limited their practical applications. We present…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Jijie Zou , Zhanghao Zhouyin , Dongying Lin , Yike Huang , Linfeng Zhang , Shimin Hou , Qiangqiang Gu

We discuss the calculation of the carrier mobility in silicon films within the quantum Non-Equilibrium Green's Functions (NEGF) framework. We introduce a new method for the extraction of the carrier mobility that is free from contact…

Mesoscale and Nanoscale Physics · Physics 2014-02-14 Yann-Michel Niquet , Viet-Hung Nguyen , François Triozon , Ivan Duchemin , Olivier Nier , Denis Rideau

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

Transport properties of strongly correlated quantum systems are of central interest in condensed matter, ultracold atoms and in dense plasmas. There, the proper treatment of strong correlations poses a great challenge to theory. Here, we…

Strongly Correlated Electrons · Physics 2015-03-06 M. Bonitz , N. Schluenzen , S. Hermanns

We present a new empirical pseudopotential (EPM) calculation approach to simulate the million atom nanostructured semiconductor devices under potential bias using the periodic boundary conditions. To treat the non-equilibrium condition,…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Xiang-Wei Jiang , Shu-Shen Li , Jian-Bai Xia , Lin-Wang Wang

Coherent electronic transport through a molecular device is studied using non-equilibrium Green's function (NEGF) formalism. Such device is made of a short linear wire which is connected to para- and ferromagnetic electrodes. Molecule…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kamil Walczak

We have recently proposed a Nonequilibrium Green's Function (NEGF) approach to include Auger decay processes in the ultrafast charge dynamics of photoionized molecules. Within the so called Generalized Kadanoff-Baym Ansatz the fundamental…

Other Condensed Matter · Physics 2018-10-17 F. Covito , E. Perfetto , A. Rubio , G. Stefanucci

Quantum dots are versatile systems for exploring quantum transport, electron correlations, and many-body phenomena such as the Kondo effect. While equilibrium properties are well understood through methods like the numerical renormalization…

Strongly Correlated Electrons · Physics 2026-01-06 Gustavo Diniz , Silvio Quintino , Vivian V. França

The Non-Equilibrium Green's Function (NEGF) method combined with ab initio calculations has been widely used to study charge transport in molecular junctions. However, the significant computational demands of high-resolution calculations…

Computational Physics · Physics 2026-05-19 Xuan Ji , Qiang Qi , Yueqi Chen , Chen Zhou , Xi Yu

We address the question of whether transport coefficients obtained from a unitary closed system setting, i.e., the standard equilibrium Green-Kubo formula, are the same as the ones obtained from a weakly driven nonequilibrium steady-state…

Statistical Mechanics · Physics 2019-01-25 Marko Znidaric

This article presents an overview on recent progress in the theory of nonequilibrium Green functions (NEGF). NEGF, presently, are the only \textit{ab-initio} quantum approach that is able to study the dynamics of correlations for long times…

Strongly Correlated Electrons · Physics 2019-12-20 N. Schluenzen , S. Hermanns , M. Scharnke , M. Bonitz

With the continued scaling of microelectronic devices along with the growing demand of high-speed wireless telecommunications technologies, there is increasing need for high-frequency device modeling techniques that accurately capture the…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Timothy M. Philip , Matthew J. Gilbert

We develop a method of calculating the nonequilibrium steady state (NESS) of an open quantum system that is weakly coupled to reservoirs in different equilibrium states. We describe the system using a Redfield-type quantum master equation…

Statistical Mechanics · Physics 2014-12-09 Tatsuro Yuge , Ayumu Sugita

Within a relativistic real-time Green's function formalism, a quantum transport equation for the phase-space distribution function is derived without a quasi-particle approximation. Dissipation is due to a nonzero spectral width, and can be…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. A. Henning