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We present a procedure to determine transmission eigenchannels for coherent phonon transport in nanoscale devices using the framework of nonequilibrium Green's functions. We illustrate our procedure by analyzing a one-dimensional chain,…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 J. C. Klöckner , J. C. Cuevas , F. Pauly

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge

The exponential decay of lattice Green functions is one of the main technical ingredients of the Ba{\l}aban's approach to renormalization. We give here a self-contained proof, whose various ingredients were scattered in the literature. The…

Mathematical Physics · Physics 2023-03-21 Wojciech Dybalski , Alexander Stottmeister , Yoh Tanimoto

We consider resonant transport through a molecular quantum dot coupled to a local vibration mode. Applying the non-equilibrium Green function technique in the polaron representation, we develop a non-perturbative scheme to calculate the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Alex Zazunov , Thierry Martin

We propose an analytical method for understanding the problem of long range electron transfer reaction in solution, modeled by a particle undergoing diffusive motion under the influence of many potentials which are involved (donor - bridge…

Quantum Physics · Physics 2015-06-30 Aniruddha Chakraborty

We analyze random resistor networks through a study of lattice Green's functions in arbitrary dimensions. We develop a systematic disorder perturbation expansion to describe the weak disorder regime of such a system. We use this formulation…

Disordered Systems and Neural Networks · Physics 2023-05-02 Sayak Bhattacharjee , Kabir Ramola

An electron transport is studied in the system which consists of scanning tunneling microscopy-single molecule magnet-metal. Due to quantum tunneling of magnetization in single-molecule magnet, linear response conductance exhibits stepwise…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gwang-Hee Kim , Tae-Suk Kim

We investigate the spin transport properties of molecules belonging to the acenes series by using density functional theory combined with the non-equilibrium Green's function approach to electronic transport. While short acenes are found to…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 R. Pilevarshahri , I. Rungger , T. Archer , S. Sanvito , N. Shahtahmasebi

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

The analytical electrical transport model of the Silicene, a single layer of sp3 bonded silicon atoms in the honeycomb lattice structure as a channel in the field effect transistor configuration is presented in this paper. Although the…

Mesoscale and Nanoscale Physics · Physics 2014-06-02 Hatef Sadeghi

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

Electron transport properties through single conjugated molecules sandwiched between two non-superconducting electrodes are studied by the use of Green's function technique. Based on the tight-binding model, we do parametric calculations to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

Recent experimental advances probing coherent phonon and electron transport in nanoscale devices at contact have motivated theoretical channel-based analyses of conduction based on the nonequilibrium Green's function formalism. The…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Prashanth S. Venkataram , Sean Molesky , Juan Carlos Cuevas , Alejandro W. Rodriguez

We use the effective-mass approximation and the density-functional theory with the local-density approximation for modeling two-dimensional nano-structures connected phase-coherently to two infinite leads. Using the non-equilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Paula Havu , Ville Havu , Martti Puska , Risto Nieminen

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 show how to use the lattice Green function to calculate capacitances in two dimensions with boundary conditions at infinity. It is shown how to calculate coefficients of capacitance and induction from the lattice Green function. A…

Other Condensed Matter · Physics 2007-05-23 Stefan Hollos , Richard Hollos

The theoretical investigation of charge (and spin) transport at nanometer length scales requires the use of advanced and powerful techniques able to deal with the dynamical properties of the relevant physical systems, to explicitly include…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. A. Ryndyk , R. Gutierrez , B. Song , G. Cuniberti

The two-time Green function method in quantum electrodynamics of high-Z few-electron atoms is described in detail. This method provides a simple procedure for deriving formulas for the energy shift of a single level and for the energies and…

Atomic Physics · Physics 2009-11-06 V. M. Shabaev

This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

Laser-atom interaction can be an efficient mechanism for the production of coherent electrons. We analyze the dynamics of monoenergetic electrons in the presence of uniform, perpendicular magnetic and electric fields. The Green function…

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