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A closed set of coupled equations of motion for the description of time-dependent electron transport is derived. It provides the time evolution of energy-resolved quantities constructed from non-equilibrium Green functions. By means of an…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 Alexander Croy , Ulf Saalmann

We present an ongoing development of an existing code for calculating ground-state, steady-state, and transient properties of many-particle systems. The development involves the addition of the full four-index two electron integrals, which…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Richard A. Lynn , Robert van Leeuwen

We propose a description of nonequilibrium systems via a simple protocol that combines exchange-correlation potentials from density functional theory with self-energies of many-body perturbation theory. The approach, aimed to avoid double…

Strongly Correlated Electrons · Physics 2016-06-15 M. Hopjan , D. Karlsson , S. Ydman , C. Verdozzi , C. -O. Almbladh

We establish the existence, uniqueness, and various estimates for Green functions of mixed Dirichlet-conormal derivative problems for the stationary Stokes system with measurable coefficients in a two-dimensional Reifenberg flat domain with…

Analysis of PDEs · Mathematics 2024-02-27 Jongkeun Choi , Minsuk Yang

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

Using the 1/N_C expansion scheme and truncating the hadronic spectrum to the lowest-lying multiplets of resonances we develop a procedure to implement QCD information on the non-perturbative regime populated by resonances through the use of…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Portoles

This paper presents an extended version of the article [Franz, S., Kopteva, N.: J. Differential Equations, 252 (2012)]. The main improvement compared to the latter is in that here we additionally estimate the mixed second-order derivative…

Analysis of PDEs · Mathematics 2022-12-23 Sebastian Franz , Natalia Kopteva

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

We present a generalized dynamical mean-field approach for the nonequilibrium physics of a strongly correlated system in the presence of a time-dependent external field. The Keldysh Green's function formalism is used to study the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Schmidt , H. Monien

We use a lattice Green function approach to study the stationary modes of a linear/nonlinear (Kerr) impurity embedded in a periodic one-dimensional lattice where we replace the standard discrete Laplacian by a fractional one. The energies…

Pattern Formation and Solitons · Physics 2021-10-27 Mario I. Molina

We propose a highly efficient numerical method to describe inhomogeneous superconductivity by using the kernel polynomial method in order to calculate the Green's functions of a superconductor. Broken translational invariance of any type…

Superconductivity · Physics 2010-10-13 L. Covaci , F. M. Peeters , M. Berciu

An integro differential equation which is able to describe the evolution of a large class of dissipative models, is considered. By means of an equivalence, the focus shifts to the perturbed sine- Gordon equation that in superconductivity…

Mathematical Physics · Physics 2025-03-04 Monica De Angelis

The nonequilibrium time evolution of a quantum dot is studied by means of dynamic equations for time-dependent Greens functions derived from a two-particle-irreducible (2PI) effective action for the Anderson impurity model. Coupling the dot…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 Sebastian Bock , Alexander Liluashvili , Thomas Gasenzer

A new approach proposed recently by author for the calculation of Green functions in quantum field theory and quantum mechanics is briefly reviewed. The method is applied to nonperturbative calculations for anharmonic oscillator,…

High Energy Physics - Theory · Physics 2007-05-23 V. E. Rochev

The notion of non-perturbative renormalization is discussed and extended. Within the extended picture, a new non-perturbative representation for the generating functional of Green functions of quantum field theories is suggested. It is…

High Energy Physics - Theory · Physics 2014-01-30 G. B. Pivovarov

High-doping induced Urbach tails and band gap narrowing play a significant role in determining the performance of tunneling devices and optoelectronic devices such as tunnel field-effect transistors (TFETs), Esaki diodes and light-emitting…

Mesoscale and Nanoscale Physics · Physics 2023-08-04 Prasad Sarangapani , Yuanchen Chu , James Charles , Tillmann Kubis

Considering the interband correlation, we present a generalized multiple-scattering approach of Green's function to investigate the effects of electron-impurity scattering on the density of states in silicene. The reduction of energy gaps…

Materials Science · Physics 2017-01-04 S. Y. Liu , Y. C. Zeng , X. L. Lei

We apply the method of two-point quasiclassical Green's function to geometries where the trajectories include interfering paths and loops. For a system of two superconducting layers separated by partially transparent interface, corrections…

Superconductivity · Physics 2009-11-07 M. Ozana , A. Shelankov

Starting from the density-matrix equation of motion, we derive a semiclassical kinetic equation for a general two-band electronic Hamiltonian, systematically including quantum-mechanical corrections up to second order in space-time…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Clement H. Wong , Yaroslav Tserkovnyak

Motivated by the recent experimental progress in studying conventional and unconventional superconductors in a pump-probe setup, we perform a comprehensive theoretical analysis of the nonlinear response of a diffusive BCS conventional…

Superconductivity · Physics 2024-01-18 Pascal Derendorf , Anatoly F. Volkov , Ilya M. Eremin