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We review a recent theoretical development based on non-equilibrium Green's function formalism to study heat transport in nanomechanical devices modeled by phononic systems of coupled quantum oscillators driven by ac forces and connected to…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Liliana Arrachea , Bruno Rizzo

Electron transfer processes at molecule-semiconductor interfaces involve a complex mixture of thermionic, tunneling and hopping events. Traditionally these processes have been modeled in a piece-meal fashion, relying on phenomenological…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 Archana Bahuguna , Fernanda Camacho-Alanis , Riya Shergill , Smitha Vasudevan , Avik Ghosh , Nathan Swami

The method of the quasiclassical Green's function is used to determine the equilibrium properties of one-dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 U. Eckern , P. Schwab

A model of sequential resonant tunneling transport between two-dimensional subbands that takes into account explicitly elastic scattering is investigated. It is compared to transport measurements performed on quantum cascade lasers where…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Romain Terazzi , Tobias Gresch , Andreas Wittmann , Jérôme Faist

We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same…

Mesoscale and Nanoscale Physics · Physics 2022-06-27 M. Ridley , N. W. Talarico , D. Karlsson , N. Lo Gullo , R. Tuovinen

We derive a closed equation of motion for the one particle density matrix of a quantum system coupled to multiple baths using the Redfield master equation combined with a mean-field approximation. The steady-state solution may be found…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Zekun Zhuang , Jaime Merino , J. B. Marston

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

By including elements of the density matrix formalism, the semiclassical ensemble Monte Carlo method for carrier transport is extended to incorporate incoherent tunneling, known to play an important role in quantum cascade lasers (QCLs). In…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Christian Jirauschek

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

At low temperatures when the phonon modes are effectively frozen, photon transport is the dominating mechanism of thermal relaxation in metallic systems. Starting from a microscopic many-body Hamiltonian, we develop a nonequilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Teemu Ojanen , Tero T. Heikkila

We investigate nonlinear transport properties of quantum conductors in response to both electrical and thermal driving forces. Within scattering approach, we determine the nonequilibrium screening potential of a generic mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 David Sanchez , Rosa Lopez

Efficient and controlled charge transport in networks of semiconducting single-walled carbon nanotubes is the basis for their application in electronic devices, especially in field-effect transistors and thermoelectrics. The recent advances…

Applied Physics · Physics 2021-11-19 Nicolas F. Zorn , Jana Zaumseil

We develop a theoretical framework to determine distribution functions in nonequilibrium systems coupled to equilibrium reservoirs, by using the nonequilibrium Green's function technique. As a paradigmatic example, we consider the…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Taira Kawamura , Yusuke Kato

We study electron transport properties of some molecular wires and a unconventional disordered thin film within the tight-binding framework using Green's function technique. We show that electron transport is significantly affected by…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 Santanu K. Maiti

The thermoelectric power factor of hierarchically nanostructured materials is investigated using the nonequilibrium Greens function method for quantum transport, including interactions of electrons with acoustic and optical phonons. We…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Vassilios Vargiamidis , Neophytos Neophytou

We develop a finite-element technique that allows one to evaluate correction of the order of $G_Q$ to various transport characteristics of arbitrary nanostructures. Common examples of such corrections are weak localization effect on…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Campagnano , Yu. V. Nazarov

The non-equilibrium tunnel transport processes are considered in a square lattice of metallic nanogranules embedded into insulating host. Based on a simple model with three possible charging states (+,-, or 0) of a granule and three kinetic…

Materials Science · Physics 2007-05-23 Yu. G. Pogorelov , J. F. Polido

On the basis of the tight-binding formalism and Green function technique we obtain all the Green functions matrix elements for a biased chain with a linear variation of the electron on-site energy. Their dependence on the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 Lyuba Malysheva

In this work, we propose an efficient computational scheme for first-principle quantum transport simulations to evaluate the open-boundary conditions. Its partitioning differentiates from conventional methods in that the contact self-energy…

Materials Science · Physics 2021-01-01 Guido Gandus , Youseung Lee , Daniele Passerone , Mathieu Luisier

We have developed a new theoretical formalism for phonon transport in nanostructures using the nonequilibrium phonon Green's function technique and have applied it to thermal conduction in defective carbon nanotubes. The universal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Takahiro Yamamoto , Kazuyuki Watanabe
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