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We present quantum electron transport theory that incorporates dynamical effects of motion of atoms on electrode-molecule interfaces in the calculations of the electric current. The theory is based on non-equilibrium Green's functions. We…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Vincent F. Kershaw , Daniel S. Kosov

Theoretical foundations of electron transport in mesoscopic systems, based on Landauer theory, Master equations or Onsager linear thermodynamics, are revisited to show that the noniteracting electrons model is insufficient to describe…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Robert Alicki

A many-body Green's function approach to the microscopic theory of plasmon-enhanced spectroscopy is presented within the context of localized surface-plasmon resonance spectroscopy and applied to investigate the coupling between…

Chemical Physics · Physics 2015-05-14 David J. Masiello , George C. Schatz

The rising interest in Dirac materials, condensed matter systems where low-energy electronic excitations are described by the relativistic Dirac Hamiltonian, entails a need for microscopic effective models to analytically describe their…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Jeyson Támara-Isaza , Pablo Burset , William J. Herrera

The electrical transport properties of atomic-scale conductors are reviewed, with an emphasis on the relations of this problem with studies on quantum size effects in metallic clusters. A brief introduction is given of the natural formalism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. M. van Ruitenbeek

A quantum mechanical model based on a Green's function approach has been used to calculate the transmission probability of electrons traversing a two-dimensional electron gas injected and detected via mode-selective quantum point contacts.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. G. Novik , H. Buhmann , L. W. Molenkamp

A nonperturbative method to obtain on- and off-site one-particle Green's function is introduced and applied to noninteracting Hubbard model with next nearest neighbor hopping and interacting Hubbard model in large dimensions, for example.…

Strongly Correlated Electrons · Physics 2008-02-03 Jongbae Hong

We discuss the general form of the transmission spectrum through a molec- ular junction in terms of the Green function of the isolated molecule. By introducing a tight binding method, we are able to translate the Green func- tion properties…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Daniel A. Lovey , Rodolfo H. Romero

Electron transport properties of a non-interacting mesoscopic ring sandwiched between two metallic electrodes are investigated by the use of Green's function formalism. We introduce a parametric approach based on the tight-binding model to…

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

By introducing multipe-site correlation functions, we propose a hierarchical Green function approach, and apply it to study the characteristic properties of a 2D square lattice Hubbard model by solving the equation of motions of a…

Strongly Correlated Electrons · Physics 2018-09-26 Yu-Liang Liu

We derive equations of motion for higher order density response functions using the theory of thermodynamic Green's functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions.…

Strongly Correlated Electrons · Physics 2024-10-04 Jan Vorberger , Tobias Dornheim , Maximilian P. Böhme , Zhandos Moldabekov , Panagiotis Tolias

We explore electron transport properties in molecular wires made of heterocyclic molecules (pyrrole, furan and thiophene) by using the Green's function technique. Parametric calculations are given based on the tight-binding model to…

Mesoscale and Nanoscale Physics · Physics 2009-09-13 Santanu K. Maiti , S. N. Karmakar

The Green's function method is recognized to be a very powerful tool for modelling quantum transport in nanoscale electronic devices. As atomistic calculations are generally expensive, numerical methods and related algorithms have been…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Viet-Hung Nguyen , Jean-Christophe Charlier

A numerical method for calculation electronic structure of a nanosystem composed of a pseudoisocyanine (PIC) molecule assembled on a silver nanoparticle is developed. The electronic structure of the silver nanoparticle containing 125 atoms…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 O. V. Farberovich , B. D. Fainberg , V. G. Maslov , V. Fleurov

We present the Composite Operator Method (COM) as a modern approach to the study of strongly correlated electronic systems, based on the equation of motion and Green's function method. COM uses propagators of composite operators as building…

Strongly Correlated Electrons · Physics 2007-07-27 Ferdinando Mancini , Adolfo Avella

I review the quantum theory of the electron moving in a random environment. First, the quantum mechanics of individual particles scattered on a random potential is discussed. The quantum-mechanical description is extended to many-body…

Disordered Systems and Neural Networks · Physics 2021-09-13 Václav Janiš

We find that correlation functions at one dimension are crucially affected by the curvature of the bare single particle spectrum. Parabolic curvature leads to two closely related phenomena: the Green's function exhibits oscillation (as a…

Mesoscale and Nanoscale Physics · Physics 2009-03-23 D. B. Gutman

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

With a super-high-efficient numerical algorithm, we are able to self-consistently calculate the Green's function in the renormalized-ring-diagram approximation for a two-dimensional electron system with long-range Coulomb interactions. The…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

The effect on molecular transport due to chemical modification of the metal-molecule interface is investigated, using as an example the prototypical molecular device formed by attaching a p-disubstituted benzene molecule onto two gold…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yongqiang Xue , Mark A. Ratner