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We present a construction of non-equilibrium steady states in one-dimensional quantum critical systems carrying energy and charge fluxes. This construction is based on a scattering approach within a real-time hamiltonian reservoir…

Mathematical Physics · Physics 2015-07-28 Denis Bernard , Benjamin Doyon

As the characteristic lengths of advanced electronic devices are approaching the atomic scale, ab initio simulation method, with fully consideration of quantum mechanical effects, becomes essential to study the quantum transport phenomenon…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Meng Ye , Xiangwei Jiang , Shu-Shen Li , Lin-Wang Wang

We investigate memory effects and quantum transport in two-dimensional lattice systems within the framework of non-equilibrium Green's functions and Schwinger-Keldysh non-equilibrium quantum field theory. Starting from a 2D tight-binding…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Pragya Chaudhary

We establish the foundations of a nonequilibrium theory of quantum thermodynamics for noninteracting open quantum systems strongly coupled to their reservoirs within the framework of the nonequilibrium Green functions (NEGF). The energy of…

Statistical Mechanics · Physics 2015-03-18 Massimiliano Esposito , Maicol A. Ochoa , Michael Galperin

The fully self-consistent non-equilibrium Green functions (NEGFs) approach to the quantum transport is developed for the investigation of one-dimensional nano-scale devices. Numerical calculations performed for resonant tunneling diodes…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Van Nam Do , Philippe Dollfus , Van Lien Nguyen

We present a detailed treatment of the nonequilibrium Green's function method for thermal transport due to atomic vibrations in nanostructures. Some of the key equations, such as self-energy and conductance with nonlinear effect, are…

Statistical Mechanics · Physics 2011-11-09 Jian-Sheng Wang , Nan Zeng , Jian Wang , Chee Kwan Gan

We develop a nonequilibrium Green's function theory for dispersion interactions between two nanostructures, each an open quantum system driven into a nonequilibrium steady state by an applied bias voltage. Starting from the two-particle…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Christine M. E. Little , Daniel S. Kosov

Theoretical prediction of phonon transport in modern semiconductor nanodevices requires atomic resolution of device features and quantum transport models covering coherent and incoherent effects. The nonequilibrium Green's function method…

Materials Science · Physics 2016-04-20 K. Miao , S. Sadasivam , J. Charles , G. Klimeck , T. S. Fisher , T. Kubis

The existence and uniqueness of a steady state for nonequilibrium systems (NESS) is a fundamental subject and a main theme of research in statistical mechanics for decades. For Gaussian systems, such as a chain of harmonic oscillators…

Statistical Mechanics · Physics 2015-10-13 J. -T. Hsiang , B. L. Hu

In this paper, we show that a nonequilibrium steady state (NESS) exists at late times in open quantum systems with weak nonlinearity by following its nonequilibrium dynamics with a perturbative analysis. Here we consider an oscillator chain…

Quantum Physics · Physics 2020-09-14 Jing Yang , Jen-Tsung Hsiang , Andrew N. Jordan , B. L. Hu

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

In this paper we present a general formulation for electronic transport that combines strong correlation effects with broadening and quantum coherence, and illustrate it with a simple example ("spin blockade") that clearly demonstrates all…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Supriyo Datta

In this paper, we formally demonstrate that the non-equilibrium density matrix developed by Hershfield for the steady state has the form of a McLennan-Zubarev non-equilibrium ensemble. The correction term in this pseudo equilibrium…

Statistical Mechanics · Physics 2014-02-26 H. Ness

Stationary electric transport in semiconductor nanostructures is studied by the method of nonequilibrium Green functions. In the case of sequential tunneling the results are compared with density matrix theory, providing almost identical…

Mesoscale and Nanoscale Physics · Physics 2008-09-12 Andreas Wacker

We present a method, based on characterizing efficiency fluctuations, to asses the performance of nanoscale thermoelectric junctions. This method accounts for effects typically arising in small junctions, namely, stochasticity in the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Massimiliano Esposito , Maicol A. Ochoa , Michael Galperin

While the Landauer viewpoint constitutes a modern basis to understand nanoscale electronic transport and to realize first-principles implementations of the non-equilibrium Green's function (NEGF) formalism, seeking an alternative picture…

Mesoscale and Nanoscale Physics · Physics 2020-12-18 Juho Lee , Han Seul Kim , Yong-Hoon Kim

A closed set of coupled equations of motion for the description of time-dependent electron transport is derived. It provides the time evolution of energy-resolved quantities constructed from non-equilibrium Green functions. By means of an…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 Alexander Croy , Ulf Saalmann

A formalism for incorporating electron-phonon scattering into the nonequilibrium Green's function (NEGF) framework that is applicable to planar MOSFETs is presented. Restructuring the NEGF equations in terms of approximate summation of…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Himadri S. Pal , Dmitri E. Nikonov , Raseong Kim , Mark S. Lundstrom

The concept of transmission eigenchannels is described in a tight-binding nonequilibrium Green's function (NEGF) framework. A simple procedure for calculating the eigenchannels is derived using only the properties of the device subspace and…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Magnus Paulsson , Mads Brandbyge

We predict two different universal scaling regimes for the quantum transmission of metallic nanodevices following the addition of a small amount of uncorrelated disorder. A nanodevice is connected to two thin semi-infinite uniform leads,…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 M. A. Novotny , Tomáš Novotný