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Electronic transport properties through some model quantum systems are re-visited. A simple tight-binding framework is given to describe the systems where all numerical calculations are made using the Green's function formalism. First, we…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Santanu K. Maiti

We study time-dependent quantum transport in a correlated model system by means of time-propagation of the Kadanoff-Baym equations for the nonequilibrium many-body Green function. We consider an initially contacted equilibrium system of a…

Mesoscale and Nanoscale Physics · Physics 2011-11-28 Petri Myöhänen , Adrian Stan , Gianluca Stefanucci , Robert van Leeuwen

A dynamic 3D Green's function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results obtained here can be used as either stand-alone solutions for simple problems or in…

Analysis of PDEs · Mathematics 2024-01-17 Tsviatko V. Rangelov , Petia S. Dineva , George D. Manolis

Semiclassical methods are extremely valuable in the study of transport and thermodynamical properties of ballistic microstructures. By expressing the conductance in terms of classical trajectories, we demonstrate that quantum interference…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rodolfo A. Jalabert

Recent experiments on mesoscopic normal-metal--superconductor heterostructures resolve properties on length scales and at low temperatures such that the temperature is below the Thouless energy $k_B T \le E_{Th}$. We describe the properties…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wolfgang Belzig , Frank K. Wilhelm , Christoph Bruder , Gerd Schön , Andrei D. Zaikin

The environmental influence is inevitable but often ignored in the study of electronic transport properties of small-scale systems. Such an environment-mediated interaction can generally be described by a parity-time symmetric non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Sudin Ganguly , Souvik Roy , Santanu K. Maiti

Electrons in the active region of a nanostructure constitute an open many-body quantum system, interacting with contacts, phonons, and photons. We review the basic premises of the open system theory, focusing on the common approximations…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 I. Knezevic , B. Novakovic

We investigate the inhomogeneous chiral dynamics of the O(4) linear sigma model in 1+1 dimensions using the time dependent variational approach in the space spanned by the squeezed states. We compare two cases, with and without the Gaussian…

Nuclear Theory · Physics 2009-11-10 Naoko Ikezi , Masayuki Asakawa , Yasuhiko Tsue

We address the problem of measuring time-properties of Response Functions (Green functions) in Gaussian models (Orszag-McLaughin) and strongly non-Gaussian models (shell models for turbulence). We introduce the concept of {\it halving time…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , I. Daumont , G. Lacorata , A. Vulpiani

We present a Non-Equilibrium Green's Function based model for spin torque transfer (STT) devices which provides quantitative agreement with experimentally measured (1) differential resistances, (2) Magnetoresistance (MR), (3) In-plane…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 Deepanjan Datta , Behtash Behin-Aein , Sayeef Salahuddin , Supriyo Datta

Quantization of electrodynamics in curved space-time in the Lorenz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral…

Mathematical Physics · Physics 2007-05-23 Giuseppe Bimonte , Enrico Calloni , Luciano Di Fiore , Giampiero Esposito , Leopoldo Milano , Luigi Rosa

The real-time dynamics of interacting electrons out of equilibrium contains detailed microscopic information about electronically correlated materials, which can be read out with time-resolved optical spectroscopy. The reflectivity that is…

Strongly Correlated Electrons · Physics 2008-12-08 Martin Eckstein , Marcus Kollar

In a recent paper [1] the scattering and transport of excess electrons in liquid argon in the hydrodynamic regime was investigated, generalizing the seminal works of Lekner and Cohen [2,3] with modern scattering theory techniques and…

Computational Physics · Physics 2017-10-02 G. J. Boyle , D. G. Cocks , W. J. Tattersall , R. P. McEachran , R. D. White

The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving…

Statistical Mechanics · Physics 2025-06-02 Yu-Jen Chiu , Eric M. Weiner , Ahmad K. Omar

Using non-equilibrium Green's functions combined with many-body perturbation theory, we have calculated steady-state densities and currents through short interacting chains subject to a finite electric bias. By using a steady-state…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 Daniel Karlsson , Claudio Verdozzi

We study the ac charge and -spin transport through an orbital of a magnetic molecule with spin precessing in a constant magnetic field. We assume that the source and drain contacts have time-dependent chemical potentials. We employ the…

Mesoscale and Nanoscale Physics · Physics 2018-02-26 Milena Filipović , Wolfgang Belzig

Green function techniques for studying nonequilibrium processes in dirty two-band superconductors are discussed. Perturbation expansions and Green function equations are developed. A time dependent modification of the Usadel equation is…

Superconductivity · Physics 2014-01-07 V. L. Ostrovski

Gain in current-driven semiconductor heterostructure devices is calculated within the theory of nonequilibrium Green functions. In order to treat the nonequilibrium distribution self-consistently the full two-time structure of the theory is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Andreas Wacker

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

We review some known facts in the transport theory of mesoscopic systems, including counting statistics, and discuss its relation with the mathematical treatment of open systems.

Mathematical Physics · Physics 2017-08-23 S. Bachmann , G. M. Graf
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