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The quantum transport formalism based on tight-binding models is known to be powerful in dealing with a wide range of open physical systems subject to external driving forces but is, at the same time, limited by the memory requirement's…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Ming-Hao Liu , Klaus Richter

We formulate a semiclassical theory for electron transport in open quantum systems with electron-phonon interactions adequate for situations when the system's phonon dynamics is comparable with the electron transport timescale. Starting…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Maicol A. Ochoa

A quantum kinetic formalism is developed to study the dynamical interplay of quantum and statistical-kinetic properties of non-equilibrium multi-parton systems produced in high-energy QCD processes. The approach provides the means to follow…

High Energy Physics - Phenomenology · Physics 2008-11-26 Klaus Geiger

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

A recently proposed analytical solution for the equations of motion of the one-body Green function of the double quantum dot is extended to the out-of-equilibrium situation. By solving a linear system for the density correlators, not only…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Nahual Sobrino , David Jacob , Stefan Kurth

Time-dependent quantum mechanics provides an intuitive picture of particle propagation in external fields. Semiclassical methods link the classical trajectories of particles with their quantum mechanical propagation. Many analytical results…

Mesoscale and Nanoscale Physics · Physics 2008-03-07 Tobias Kramer , Eric J. Heller , Robert E. Parrott

Explicit expressions for the transport coefficients of a recently introduced stochastic model for simulating fluctuating fluid dynamics are derived in three dimensions by means of Green-Kubo relations and simple kinetic arguments. The…

Statistical Mechanics · Physics 2009-11-10 Erkan Tuzel , Martin Strauss , Thomas Ihle , Daniel M. Kroll

On the basis of the Kadanoff-Baym (KB) varient of the time dependent Green's function method a new ansatz for the approximation of a spectral function is offered. The ansatz possesses all the advantages of quasiparticle (QP) and extended…

Statistical Mechanics · Physics 2009-11-13 M. Arshad , A. S. Kondratyev , Imran Siddique

Spin and charge transport through a quantum dot coupled to external nonmagnetic leads is analyzed theoretically in terms of the non-equilibrium Green function formalism based on the equation of motion method. The dot is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. Swirkowicz , J. Barnas , M. Wilczynski

This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

Quantum transport for different models of isomer molecules attached to two semi-infinite leads is studied on the basis of Green's function technique. Electronic transport properties are significantly affected by (a) the relative position of…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 Santanu K. Maiti

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

Using renormalization group methods, we develop a rigorous coarse-grained representation of the dissipative dynamics of quantum excitations propagating inside open macromolecular systems. We show that, at very low spatial resolution, this…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 E. Schneider , P. Faccioli

Brane model of universe is considered for a particle. Conservation laws inside the brane are obtained. Equation of motion is derived for a particle using variation principle from these conservation laws. This equation includes terms…

General Relativity and Quantum Cosmology · Physics 2009-11-13 S. N. Andrianov , V. V. Bochkarev , S. M. Kozyrev

We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of both time, $t$, and Planck's constant, $\hbar$, and allows a…

Chaotic Dynamics · Physics 2007-05-23 Daniel K. Wojcik , J. Robert Dorfman

We propose a mean-field model of intermittent particle transport, where a particle may be in one of two phases: the first is an active (ballistic) phase, when a particle runs with constant velocity in some direction, and the second is a…

Statistical Mechanics · Physics 2017-10-24 Sergey A. Rukolaine

We approach the problem of constructing a quantum analogue of the immensely fruitful classical transport cost theory of Monge from a new angle. Going back to the original motivations, by which the transport is a bilinear function of a mass…

Quantum Physics · Physics 2025-04-08 Matt Hoogsteder-Riera , John Calsamiglia , Andreas Winter

We describe microscopic theory for the quantum transport through finite interacting systems connected to noninteracting leads. It can be applied to small systems such as quantum dots, quantum wires, atomic chain, molecule, and so forth. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Oguri

We demonstrate an efficient nonequilibrium Green's function transport calculation procedure based on the real-space finite-difference method. The direct inversion of matrices for obtaining the self-energy terms of electrodes is…

Materials Science · Physics 2024-01-09 Tomoya Ono , Yoshiyuki Egami , Kikuji Hirose