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Low-rank regularization (LRR) has been widely applied in various machine learning tasks, but the associated optimization is challenging. Directly optimizing the rank function under constraints is NP-hard in general. To overcome this…

Machine Learning · Computer Science 2025-05-22 Naiqi Li , Yuqiu Xie , Peiyuan Liu , Tao Dai , Yong Jiang , Shu-Tao Xia

We consider the task of low-multilinear-rank functional regression, i.e., learning a low-rank parametric representation of functions from scattered real-valued data. Our first contribution is the development and analysis of an efficient…

Computation · Statistics 2018-09-26 Alex A. Gorodetsky , John D. Jakeman

The concept of transmission eigenchannels is described in a tight-binding nonequilibrium Green's function (NEGF) framework. A simple procedure for calculating the eigenchannels is derived using only the properties of the device subspace and…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Magnus Paulsson , Mads Brandbyge

The main aim of this paper is to develop a new algorithm for computing nonnegative low rank tensor approximation for nonnegative tensors that arise in many multi-dimensional imaging applications. Nonnegativity is one of the important…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Tai-Xiang Jiang , Michael K. Ng , Junjun Pan , Guangjing Song

We describe a method and its implementation for calculating electronic structure and electron transport without approximating the structure using periodic super-cells. This effectively removes spurious periodic images and interference…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Nick Papior , Gaetano Calogero , Susanne Leitherer , Mads Brandbyge

We propose a first-principles method of efficiently evaluating electron-transport properties of very long systems. Implementing the recursive Green's function method and the shifted conjugate gradient method in the transport simulator based…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Yoshiyuki Egami , Shigeru Tsukamoto , Tomoya Ono

A self-consistent method for calculating electron transport through a molecular device is proposed. It is based on density functional theory electronic structure calculations under periodic boundary conditions and implemented in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

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

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

We describe an ab initio method for calculating the electronic structure, electronic transport, and forces acting on the atoms, for atomic scale systems connected to semi-infinite electrodes and with an applied voltage bias. Our method is…

Materials Science · Physics 2009-11-07 Mads Brandbyge , Jose-Luis Mozos , Pablo Ordejon , Jeremy Taylor , Kurt Stokbro

Within a relativistic real-time Green's function formalism, a quantum transport equation for the phase-space distribution function is derived without a quasi-particle approximation. Dissipation is due to a nonzero spectral width, and can be…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. A. Henning

{\it Ab initio} computational methods for electronic transport in nanoscaled systems are an invaluable tool for the design of quantum devices. We have developed a flexible and efficient algorithm for evaluating $I$-$V$ characteristics of…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 A. R. Rocha , V. M. García-Suárez , S. Bailey , C. Lambert , J. Ferrer , S. Sanvito

We have recently proposed a Nonequilibrium Green's Function (NEGF) approach to include Auger decay processes in the ultrafast charge dynamics of photoionized molecules. Within the so called Generalized Kadanoff-Baym Ansatz the fundamental…

Other Condensed Matter · Physics 2018-10-17 F. Covito , E. Perfetto , A. Rubio , G. Stefanucci

We study inelastic electron tunneling through a molecular junction using the non-equilibrium Green function (NEGF) formalism. The effect of the mutual influence between the phonon and the electron subsystems on the electron tunneling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Michael Galperin , Mark A. Ratner , Abraham Nitzan

In this work, we investigate the transport phenomena in compound semiconductor material based buried channel Quantum Well MOSFET with a view to developing a simple and effective model for the device current. Device simulation has been…

Mesoscale and Nanoscale Physics · Physics 2020-06-14 Ehsanur Rahman , Abir Shadman , Sudipta Romen Biswas , Kanak Datta , Quazi D. M. Khosru

We consider a projection operator approach to the non-equilbrium Green function equation-of-motion (PO-NEGF EOM) method. The technique resolves problems of arbitrariness in truncation of an infinite chain of EOMs, and prevents violation of…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Maicol A. Ochoa , Michael Galperin , Mark A. Ratner

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

We investigate the electronic transport behavior of Fano-Anderson (FA) systems, consisting of a one-dimensional finite backbone chain and an attached side-group of varying length. The tight-binding model within the non-equilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Koushik R. Das , Sudipta Dutta

Recently a deterministic method, frequent directions (FD) is proposed to solve the high dimensional low rank approximation problem. It works well in practice, but experiences high computational cost. In this paper, we establish a fast…

Numerical Analysis · Mathematics 2018-10-09 Dan Teng , Delin Chu

We present a method which uses density functional theory (DFT) to treat transport through a single molecule connected to two conducting leads for the weak and intermediate coupling. This case is not accessible to standard non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 Fatemeh Mirjani , Joseph M. Thijssen
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