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We establish, through numerical calculations and comparisons with a recursive Green's function based implementation of the Landauer-B\"uttiker formalism, an efficient method for studying Anderson localization in quasi-one-dimensional and…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 Andreas Uppstu , Zheyong Fan , Ari Harju

Electron transport properties in nanostructures can be modeled, for example, by using the semiclassical Wigner formalism or the quantum mechanical Green's functions formalism. We compare the performance and the results of these methods in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Paula Havu , Noora Tuomisto , Riikka Vaananen , Martti J. Puska , Risto M. Nieminen

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

We present a generalized approach for computing electron conductance and I-V characteristics in multiterminal junctions from first-principles. Within the framework of Keldysh theory, electron transmission is evaluated employing an O(N)…

Materials Science · Physics 2015-05-13 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier

Electron transport characteristics are investigated through some molecular chains attached to two non-superconducting electrodes by the use of Green's function method. Here we do parametric calculations based on the tight-binding…

Mesoscale and Nanoscale Physics · Physics 2009-07-31 Santanu K. Maiti

The basic mathematical properties of Green's functions used in statistical mechanics as well as the equations defining these functions and the techniques of solving these equations are reviewed. An approach is presented called the…

Statistical Mechanics · Physics 2007-05-23 V. I. Yukalov

We introduce a spectral density functional theory which can be used to compute energetics and spectra of real strongly--correlated materials using methods, algorithms and computer programs of the electronic structure theory of solids. The…

Strongly Correlated Electrons · Physics 2009-11-10 S. Y. Savrasov , G. Kotliar

We have developed an approach to calculate the single-particle Green function of a one-dimensional many-body system in the strongly localized limit at zero temperature. Our approach, based on the locator expansion, sums the contributions of…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 A. N. Somoza , M. Ortuño , V. Gasparian , M. Pino

We develop a formalism for the evaluation of conduction eigenchannels of atomic-sized contacts from first-principles. The multiple scattering Korringa-Kohn-Rostoker (KKR) Green's function method is combined with the Kubo linear response…

Materials Science · Physics 2011-11-09 Alexei Bagrets , Nikos Papanikolaou , Ingrid Mertig

The one-particle Green function of a many-electron system is traditionally formulated within the self-energy picture. A different formalism was recently proposed, in which the self-energy is replaced by a dynamical exchange-correlation…

Strongly Correlated Electrons · Physics 2025-05-27 F. Aryasetiawan

We report the inclusion of electron-electron correlation in the calculation of transport properties within an ab initio scheme. A key step is the reformulation of Landauer's approach in terms of an effective transmittance for the…

Strongly Correlated Electrons · Physics 2009-11-10 A. Ferretti , A. Calzolari , R. Di Felice , F. Manghi , M. J. Caldas , M. Buongiorno Nardelli , E. Molinari

Transport properties of strongly correlated quantum systems are of central interest in condensed matter, ultracold atoms and in dense plasmas. There, the proper treatment of strong correlations poses a great challenge to theory. Here, we…

Strongly Correlated Electrons · Physics 2015-03-06 M. Bonitz , N. Schluenzen , S. Hermanns

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

An electronic orbital of a dihedral angle of a molecular chain is introduced. A tight-binding Hamiltonian on the basis of the dihedral orbitals is defined. This yields the Green's function between two dihedral angles of the chain. It is…

Chemical Physics · Physics 2009-05-27 Ernesto Estrada , Naomichi Hatano

Quantization of electrodynamics in curved space-time in the Lorenz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral…

High Energy Physics - Theory · Physics 2009-11-10 Giuseppe Bimonte , Enrico Calloni , Luciano Di Fiore , Giampiero Esposito , Leopoldo Milano , Luigi Rosa

We present an overview of electronic device modeling using non-equilibrium Green function techniques. The basic approach developed in the early 1970s has become increasingly popular during the last 10 years. The rise in popularity was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roger K. Lake , Rajeev R. Pandey

We describe how to apply the recursive Green's function method to the computation of electronic transport properties of graphene sheets and nanoribbons in the linear response regime. This method allows for an amenable inclusion of several…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Caio H. Lewenkopf , Eduardo R. Mucciolo

A new method for calculation of band structure has been proposed based on the Green's function theory and local sampling. Potential energy in the Hamiltonian of Schrodinger's equation is approximated with a series of sampled Dirac delta…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Milad Khoshnegar , Sina Khorasani , Amirhossein Hosseinnia

In this commentary, we clarify that the Landauer formula is not limited to the phonon gas model. It is fundamentally more general and applies to both particle- and wave-based descriptions of phonons, provided the transmission function is…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 Jinghang Dai , Zhiting Tian

We investigate the conformation-dependent electron transfer in a biphenyl molecule within a simple tight-binding framework. The overall junction current and circular currents in two benzene rings driven by applied bias voltage are…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 Santanu K. Maiti