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In this paper we develop a way of obtaining Green's functions for partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat…

Classical Analysis and ODEs · Mathematics 2017-07-05 F. Adrián F. Tojo , Pedro J. Torres

An end-to-end strategy for hybrid quantum-classical computations of Green's functions in many-body systems is presented and applied to the pairing model. The scheme makes explicit use of the spectral representation of the Green's function,…

Nuclear Theory · Physics 2026-05-01 Samuel Aychet-Claisse , Denis Lacroix , Vittorio Somà , Jing Zhang

Including finite-temperature effects from the electronic degrees of freedom in electronic structure calculations of semiconductors and metals is desired; however, in practice it remains exceedingly difficult when using zero-temperature…

Chemical Physics · Physics 2016-11-24 Alicia Rae Welden , Alexander A. Rusakov , Dominika Zgid

We theoretically study the electronic transport in the monolayer of dithiolated phenylene vinylene oligomeres coupled to the (111) surfaces of gold electrodes. We use non-equilibrium Green functions (NEGF) and density functional theory(DFT)…

Materials Science · Physics 2009-11-10 Z. Crljen , A. Grigoriev , G. Wendin , K. Stokbro

The spectral functions of the one-band half-filled 1D Hubbard chain are calculated using the exchange-correlation potential formalism developed recently. The exchange-correlation potential is adopted from the exact potential derived from…

Strongly Correlated Electrons · Physics 2022-08-31 F. Aryasetiawan , T. Sjöstrand

Spin and charge transport through a quantum dot coupled to external nonmagnetic leads is analyzed theoretically in terms of the non-equilibrium Green function formalism based on the equation of motion method. The dot is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. Swirkowicz , J. Barnas , M. Wilczynski

In weakly interacting organic semiconductors, static and dynamic disorder often have an important impact on transport properties. Describing charge transport in these systems requires an approach that correctly takes structural and…

Materials Science · Physics 2017-11-15 Susanne Leitherer , Christof M. Jäger , Andreas Krause , Marcus Halik , Tim Clark , Michael Thoss

Widely applicable, modified Green-Kubo expressions for the local diffusion coefficient ($D_l$) are obtained using linear response theory. In contrast to past definitions in use, these expressions are statistical mechanical results.…

Statistical Mechanics · Physics 2023-05-25 Michelle A. Hunter , Baris Demir , Charlotte F. Petersen , Debra J. Searles

Utilization of electron transfer methods for description of quantum transport is popular due to simplicity of the formulation and its ability to account for basic physics of electron exchange between system and baths. At the same time,…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Nicolas Bergmann , Michael Galperin

The gauge-gravity duality and analog gravity both relate a condensed matter system to a gravitational theory. This makes it possible to use gravity as an intermediary to establish a relation between two different condensed matter systems:…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Sabine Hossenfelder , Tobias Zingg

A formal proof to relate the concept of electromagnetic local density of states (LDOS) to the electric and magnetic dyadic Green's functions is provided. The expression for LDOS is obtained by relating the electromagnetic energy density at…

Other Condensed Matter · Physics 2011-04-13 Arvind Narayanaswamy , Gang Chen

Molecule-electrode interfaces in molecular electronic junctions are prone to chemical reactions, structural changes, and localized heating effects caused by electric current. These can be exploited for device functionality or may be…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Riley J. Preston , Vincent F. Kershaw , Daniel S. Kosov

Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems under the energy domain Green's function ($G$) framework. This approach is…

Quantum Physics · Physics 2016-08-22 Fabiano M. Andrade , A. G. M. Schmidt , E. Vicentini , B. K. Cheng , M. G. E. da Luz

Inelastic effects in electron transport through nano-sized devices are addressed with a method based on nonequilibrium Green's functions (NEGF) and perturbation theory to infinite order in the electron-vibration coupling. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thomas Frederiksen , Mads Brandbyge , Nicolas Lorente , Antti-Pekka Jauho

A first-principles approach based on Density Functional Theory and Non-Equilibrium Green's functions is used to study the molecular transport system consisting of benzenedithiolate connected with monoatomic gold and platinum electrodes.…

Mesoscale and Nanoscale Physics · Physics 2017-10-10 M. Rumetshofer , G. Dorn , L. Boeri , E. Arrigoni , W. von der Linden

Electronic transport is theoretically investigated in laterally confined semiconductor superlattices using the formalism of non-equilibrium Green's functions. The transport properties are calculated for nanowire superlattices of varying…

Mesoscale and Nanoscale Physics · Physics 2014-04-25 Thomas Grange

We develop in detail a new formalism [as a sequel to the work of T. Champel and S. Florens, Phys. Rev. B 75, 245326 (2007)] that is well-suited for treating quantum problems involving slowly-varying potentials at high magnetic fields in…

Mesoscale and Nanoscale Physics · Physics 2008-09-08 Thierry Champel , Serge Florens , Léonie Canet

The Wave Function Matching (WFM) technique has recently been developed for the calculation of electronic transport in quantum two-probe systems. In terms of efficiency it is comparable with the widely used Green's function approach. The WFM…

A Green's function formalism is used to calculate the spectrum of localized modes of an impurity layer implanted within a ferromagnetic thin film. The equations of motion for the Green's functions are determined in the framework of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. V. Leite , B. T. F. Morais , J. Milton Pereira , R. N. Costa Filho

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek