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A quantum transport model incorporating spin scattering processes is presented using the non-equilibrium Green's function (NEGF) formalism within the self-consistent Born approximation. This model offers a unified approach by capturing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ahmet Ali Yanik , Gerhard Klimeck , Supriyo Datta

Since the initial development of one-dimensional electron gases (1DEG) two decades ago, there has been intense interest in both the fundamental physics and the potential applications, including quantum computation, of these quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-02 Raphael Rosen

Through the Non-Equilibrium Green's Function (NEGF) formalism, quantum-scale device simulation can be performed with the inclusion of electron-phonon scattering. However, the simulation of realistically sized devices under the NEGF…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Stephen Cauley , Mathieu Luisier , Venkataramanan Balakrishnan , Gerhard Klimeck , Cheng-Kok Koh

This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 Ursula Schröter

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 present a conceptually simple method for treating electron-phonon scattering and phonon limited mobilities. By combining Green's function based transport calculations and molecular dynamics (MD), we obtain a temperature dependent…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Troels Markussen , Mattias Palsgaard , Daniele Stradi , Tue Gunst , Mads Brandbyge , Kurt Stokbro

The last several decades have seen significant advances in the theoretical modeling of materials within the fields of solid-state physics and materials science, but many methods commonly applied to this problem struggle to capture strong…

Strongly Correlated Electrons · Physics 2025-04-07 Anna O. Schouten , Simon Ewing , David A. Mazziotti

Inserting molecular monolayers within metal / semiconductor interfaces provides one of the most powerful expressions of how minute chemical modifications can affect electronic devices. This topic also has direct importance for technology as…

Materials Science · Physics 2017-03-17 Ayelet Vilan , David Cahen

The single-particle Green's function (GF) of mesoscopic structures plays a central role in mesoscopic quantum transport. The recursive GF technique is a standard tool to compute this quantity numerically, but it lacks physical transparency…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Shu-Hui Zhang , Wen Yang , Kai Chang

In the last twenty years there has been significant progress in our understanding of quantum transport far from equilibrium and a conceptual framework has emerged through a combination of the Landauer approach with the non-equilibrium Green…

Mesoscale and Nanoscale Physics · Physics 2008-03-01 Supriyo Datta

We investigate electron transport through azulene molecule with four distinct electrode contact geometries using the non-equilibrium Green's function formalism within the tight-binding Hamiltonian. Employing the Q-matrix approach, we…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Koushik R. Das , Sudipta Dutta

We develop nonequilibribrium Green's function based transport theory, which includes effects of nonadiabatic nuclear motion in the calculation of the electric current in molecular junctions. Our approach is based on the separation of slow…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Vincent F. Kershaw , Daniel S. Kosov

We present an efficient implemention of a non-equilibrium Green function (NEGF) method for self-consistent calculations of electron transport and forces in nanostructured materials. The electronic structure is described at the level of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jingzhe Chen , Kristian S. Thygesen , Karsten W. Jacobsen

Modeling nanoscale devices quantum mechanically is a computationally challenging problem where new methods to solve the underlying equations are in a dire need. In this paper, we present an approach to calculate the charge density in…

Numerical Analysis · Mathematics 2013-05-07 U. Hetmaniuk , Y. Zhao , M. P. Anantram

Electronic conductance through a single molecule is sensitive towards its structural orientation between two electrodes, owing to the distribution of molecular orbitals and their coupling to the electrode levels, that are governed by…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 Koushik R. Das , Sudipta Dutta

We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

Non-equilibrium Green's function (NEGF) and quantum master equation (QME) are two main classes of approaches for electronic transport. We discuss various Floquet variances of these formalisms for transport properties of a quantum dot driven…

Quantum Physics · Physics 2024-04-10 Vahid Mosallanejad , Yu Wang , Wenjie Dou

Creation of electron or exciton by external fields in a system with initially statistically independent unrelaxed vibrational modes leads to an initial condition term. The contribution of this term in the time convolution generalized master…

Biological Physics · Physics 2011-12-07 M. Pudlak , K. N. Pichugin , R. G. Nazmitdinov , R. Pincak

Progress in manufacturing technology has allowed us to probe the behavior of devices on a smaller and faster scale than ever before. With increasing miniaturization, quantum effects come to dominate the transport properties of these…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Manfred Kleber , Tobias Kramer

Molecular systems can exhibit a complex, chemically tailorable inner structure which allows for targeting of specific mechanical, electronic and optical properties. At the single-molecule level, two major complementary ways to explore these…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Rocco Gaudenzi , Maciej Misiorny , Enrique Burzurí , Maarten R. Wegewijs , Herre S. J. van der Zant