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We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

We study a system of two non-interacting quantum wires with fermions of opposite chirality with a point contact junction at the origin across which tunneling can take place when an arbitrary time-dependent bias between the wires is applied.…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Nikhil Danny Babu , Girish S. Setlur

An extended Keldysh formalism, well suited to properly take into account the initial correlations, is used in order to deal with the time-dependent current response of a resonant tunneling system. We use a \textit{partition-free} approach…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gianluca Stefanucci , Carl-Olof Almbladh

The electrical and heat currents flowing through a quantum dot are calculated in the presence of a time-modulated gate voltage with the help of the out-of-equilibrium Green function technique. From the first harmonics of the currents, we…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 Adeline Crépieux

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

The distinctive quasiparticle distribution existing under nonequilibrium in a superconductor-insulator-normal metal-insulator-superconductor (SINIS) mesoscopic line is proposed as a novel tool to control the supercurrent intensity in a long…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Giazotto , T. T. Heikkila , F. Taddei , Rosario Fazio , J. P. Pekola , F. Beltram

A short introduction to the theory of matrix quasiclassical Green's functions is given and possible applications of this theory to transport properties of mesoscopic superconducting-normal metal (S/N) structures are considered. We discuss a…

Superconductivity · Physics 2009-10-30 A. F. Volkov , V. V. Pavlovskii

Quantum transport in mesoscopic conductors is essentially governed by the laws of quantum mechanics. One of the major open questions of quantum mechanics is what happens if non-commuting observables are measured simultaneously. Since…

Mesoscale and Nanoscale Physics · Physics 2010-03-15 Adam Bednorz , Wolfgang Belzig

We present a novel ab initio non-equilibrium approach to calculate the current across a molecular junction. The method rests on a wave function based full ab initio description of the central region of the junction combined with a tight…

Materials Science · Physics 2007-05-23 Alexander Schnurpfeil , Bo Song , Martin Albrecht

We develop a Green's function formalism for spin transport through heterostructures that contain metallic leads and insulating ferromagnets. While this formalism in principle allows for the inclusion of various magnonic interactions, we…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Jiansen Zheng , Scott Bender , Jogundas Armaitis , Roberto E. Troncoso , R. A. Duine

We derive a class of mesoscopic virial equations governing energy partition between conjugate position and momentum variables of individual degrees of freedom. They are shown to apply to a wide range of nonequilibrium steady states with…

Statistical Mechanics · Physics 2017-06-13 Gianmaria Falasco , Fulvio Baldovin , Klaus Kroy , Marco Baiesi

We consider a class of deterministic local collisional dynamics, showing how to approximate them by means of stochastic models and then studying the fluctuations of the current of energy. We show first that the variance of the…

Mathematical Physics · Physics 2015-05-19 Raphael Lefevere , Mauro Mariani , Lorenzo Zambotti

We study steady state transport through a double quantum dot array using the equation-of-motion approach to the nonequilibrium Green functions formalism. This popular technique relies on uncontrolled approximations to obtain a closure for a…

Strongly Correlated Electrons · Physics 2013-06-26 Tal J. Levy , Eran Rabani

This is an introductory chapter on how to calculate nonequilibrium Green's functions via dynamical mean-field theory for the Autumn School on Correlated Electrons: Many-Body Methods for Real Materials, 16-20 September 2019,…

Strongly Correlated Electrons · Physics 2019-07-29 J. K. Freericks

We consider an interacting quantum dot working as a coherent source of single electrons. The dot is tunnel coupled to a reservoir and capacitively coupled to a gate terminal with an applied ac potential. At low frequencies, this is the…

Mesoscale and Nanoscale Physics · Physics 2016-10-24 M. I. Alomar , Jong Soo Lim , David Sánchez

Transport in molecular electronic devices is different from that in semiconductor mesoscopic devices in two important aspects: (1) the effect of the electronic structure and (2) the effect of the interface to the external contact. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yongqiang Xue , Supriyo Datta , Mark A. Ratner

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

Statistical Mechanics · Physics 2018-12-19 Trevor GrandPre , David T. Limmer

We apply the Nonequilibrium Green's Function (NEGF) formalism to the problem of a multi-terminal nanojunction subject to an arbitrary time-dependent bias. In particular, we show that taking a generic one-particle system Hamiltonian within…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 Michael Ridley , Angus MacKinnon , Lev Kantorovich

We explore the possibilities of current modulation at nano-scale level using mesoscopic rings. A single mesoscopic ring or an array of such rings is used for current modulation where each ring is threaded by a time varying magnetic flux…

Mesoscale and Nanoscale Physics · Physics 2011-11-02 Santanu K. Maiti

We introduce a mesoscopic partition function for classical many-body systems based on a combined spatial and phase-space coarse-graining, replacing the canonical phase-space integral with a discrete sum over occupation numbers. The…

Statistical Mechanics · Physics 2026-05-05 Bob Osano