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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

We overview nonequilibrium Green function combined with density functional theory (NEGF-DFT) modeling of independent electron and phonon transport in nanojunctions with applications focused on a new class of thermoelectric devices where a…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Branislav K. Nikolic , Kamal K. Saha , Troels Markussen , Kristian S. Thygesen

The inverse design of nonlocal metasurfaces requires the precise optimization of lattice geometry to engineer spatial dispersion and high-Q resonances. However, gradient-based optimization is frequently bottle-necked by the evaluation of…

Optics · Physics 2026-03-05 Mingcan Qin , Yifeng Qin

The objective of this paper is to describe a simple phenomenological approach for including incoherent dephasing processes in quantum transport models. The presented illustrative numerical results show this model provides the flexibility of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Roksana Golizadeh-Mojarad , Supriyo Datta

We present a rigorous and computationally efficient method to do a parameter-free analysis of molecular wires connected to contacts. The self-consistent field approach is coupled with Non-equilibrium Green's Function (NEGF) formalism to…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Prashant Damle , Avik W. Ghosh , Supriyo Datta

The nonequilibrium dynamics of correlated many-particle systems is of interest in connection with pump-probe experiments on molecular systems and solids, as well as theoretical investigations of transport properties and relaxation…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Michael Schüler , Denis Golež , Yuta Murakami , Nikolaj Bittner , Andreas Hermann , Hugo U. R. Strand , Philipp Werner , Martin Eckstein

Electron transport through a diatomic molecular tunnel junction shows wave like interference phenomenon. By using Keldysh non-equilibrium Green's function (NEGF) theory, we have explicitly presented current and differential conductance…

Mesoscale and Nanoscale Physics · Physics 2012-12-18 Muhammad Imran

We have studied theoretically the Kondo effect in the quantum dot(QD) within the whole range of temperature by using the equation-of-motion(EOM) technique based on the non-equilibrium Green function formalism. We have taken the finiteness…

Strongly Correlated Electrons · Physics 2012-09-12 Kuk-Chol Ri , Chol-Won Ri , Gum-Hyok Jong

Deep neural network (DNN) generally takes thousands of iterations to optimize via gradient descent and thus has a slow convergence. In addition, softmax, as a decision layer, may ignore the distribution information of the data during…

Machine Learning · Computer Science 2021-06-16 Rui Zhang , Ziheng Jiao , Hongyuan Zhang , Xuelong Li

We develop an iterative, numerically exact approach for the treatment of nonequilibrium quantum transport and dissipation problems that avoids the real-time sign problem associated with standard Monte Carlo techniques. The method requires a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dvira Segal , Andrew J. Millis , David R. Reichman

Classical simulation of quantum circuits remains indispensable for algorithm development, hardware validation, and error analysis in the noisy intermediate-scale quantum (NISQ) era. However, state-vector simulation faces exponential memory…

The nonequilibrium Green's function formalism provides a versatile and powerful framework for numerical studies of nonequilibrium phenomena in correlated many-body systems. For calculations starting from an equilibrium initial state, a…

Strongly Correlated Electrons · Physics 2024-07-11 Matthias Murray , Hiroshi Shinaoka , Philipp Werner

Ab initio modeling of molecular electronics is nowadays routinely performed by combining the Density Functional Theory (DFT) and Nonequilibrium Green function (NEGF) techniques. This method has its roots in the current formula given by Meir…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. P. Jauho

Nonequilibrium electronic forces play a central role in voltage-driven phase transitions but are notoriously expensive to evaluate in dynamical simulations. Here we develop a machine learning framework for adiabatic lattice dynamics coupled…

Strongly Correlated Electrons · Physics 2026-01-13 Yunhao Fan , Sheng Zhang , Gia-Wei Chern

Adaptive gradient methods have become popular in optimizing deep neural networks; recent examples include AdaGrad and Adam. Although Adam usually converges faster, variations of Adam, for instance, the AdaBelief algorithm, have been…

Machine Learning · Computer Science 2024-10-29 Kushal Chakrabarti , Nikhil Chopra

Neural Radiance Fields (NeRFs) have emerged as promising tools for advancing autonomous driving (AD) research, offering scalable closed-loop simulation and data augmentation capabilities. However, to trust the results achieved in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Carl Lindström , Georg Hess , Adam Lilja , Maryam Fatemi , Lars Hammarstrand , Christoffer Petersson , Lennart Svensson

When conducting the numerical simulation of quantum transport, the main obstacle is a rapid growth of the dimension of entangled Hilbert subspace. The Quantum Monte Carlo simulation techniques, while being capable of treating the problems…

Quantum Gases · Physics 2018-04-04 Evgeny A. Polyakov , Alexey N. Rubtsov

Neural networks increasingly embed non-differentiable components (spiking neurons, quantized layers, discrete routing, blackbox simulators, etc.) where backpropagation is inapplicable and surrogate gradients introduce bias. We present…

Machine Learning · Computer Science 2026-05-05 An T. Le

We review the description and modeling of transport phenomena among the electron systems coupled via scalar or vector photons. It consists of three parts. The first part is about scalar photons, i.e., Coulomb interactions. The second part…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Jian-Sheng Wang , Jiebin Peng , Zu-Quan Zhang , Yong-Mei Zhang , Tao Zhu

Coherent electronic transport through a molecular device is studied using non-equilibrium Green's function (NEGF) formalism. Such device is made of a carbon nanowire which is connected to ferromagnetic electrodes. The molecule itself is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak , Gloria Platero