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Realistic nucleon-nucleon interaction induce correlations to the nuclear many-body system which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this…

Nuclear Theory · Physics 2007-05-23 Arnau Rios , Artur Polls , Angels Ramos , Herbert Müther

We present a quantum kinetic approach for the time-resolved description of many-body effects in photoionization processes in atoms. The method is based on the non-equilibrium Green functions formalism and solves the Keldysh/Kadanoff-Baym…

Atomic Physics · Physics 2015-05-13 D. Hochstuhl , K. Balzer , S. Bauch , M. Bonitz

A fully analytical approach based on the equation of motion technique to investigate the spectral properties and orbital occupations in an interacting double quantum dot in equilibrium is presented. By solving a linear system for the…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 Nahual Sobrino , David Jacob , Stefan Kurth

Quantitative simulation of electronic structure of solids requires treating local and non-local electron correlations on an equal footing. We present a new ab initio formulation of Green's function embedding which, unlike dynamical…

Materials Science · Physics 2024-10-01 Jiachen Li , Tianyu Zhu

Diagrammatic analysis for normal state of Hubbard model proposed in our previous paper [1] is generalized and used to investigate superconducting state of this model. We use the notion of charge quantum number to describe the irreducible…

Strongly Correlated Electrons · Physics 2010-01-20 V. A. Moskalenko , L. A. Dohotaru , D. F. Digor , I. D. Cebotari

Second-order variational type equations for spatial point processes are established. In case of log linear parametric models for pair correlation functions, it is demonstrated that the variational equations can be applied to construct…

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

Progress is reported on several questions that bedevil understanding of granular systems: (i) are the stress equations elliptic, parabolic or hyperbolic? (ii) how can the often-observed force chains be predicted from a first-principles…

Soft Condensed Matter · Physics 2009-11-10 Raphael Blumenfeld

We extend the concept of the functional renormalization for quantum many-body problems to non-equilibrium situations. Using a suitable generating functional based on the Keldysh approach, we derive a system of coupled differential equations…

Strongly Correlated Electrons · Physics 2013-05-29 R. Gezzi , Th. Pruschke , V. Meden

A linear algebraic method named the shifted conjugate-orthogonal-conjugate-gradient method is introduced for large-scale electronic structure calculation. The method gives an iterative solver algorithm of the Green's function and the…

Materials Science · Physics 2007-05-23 R. Takayama , T. Hoshi , T. Sogabe , S. -L. Zhang , T. Fujiwara

We give nonequilibrium Green's function (NEGF) perspective on thermodynamics formulations for open quantum systems strongly coupled to baths. Scattering approach implying thermodynamic consideration of a super-system (system plus baths)…

Mesoscale and Nanoscale Physics · Physics 2021-04-19 Nicolas Bergmann , Michael Galperin

In this work we develop an algebraic theory of linear recurrence equations and systems with constant coefficients and reflection. We obtain explicit solutions and the Green's functions associated to different problems under general linear…

Classical Analysis and ODEs · Mathematics 2019-09-10 F. Adrián F. Tojo

This paper presents a thermodynamically consistent model for multicomponent electrolyte solutions. The first part of this paper derives the general governing equations for nonequilibrium systems within the theory of nonequilibrium…

Analysis of PDEs · Mathematics 2016-05-25 Matthias Herz , Peter Knabner

We investigate analytically the performance of many-body energy functionals, derived respectively by Klein and Luttinger and Ward, at different levels of diagrammatic approximations, ranging from second Born, to GW, to the so-called…

Strongly Correlated Electrons · Physics 2024-04-26 Giovanna Lani , Nicola Marzari

The development of numerical methods capable of simulating realistic materials with strongly correlated electrons, with controllable errors, is a central challenge in quantum many-body physics. Here we describe how a hybrid between…

Strongly Correlated Electrons · Physics 2015-04-23 Alexei A. Kananenka , Emanuel Gull , Dominika Zgid

In this paper we investigate the effect of strong electronic interactions on the thermoelectric properties of a simple generic system, consisting of a single correlated layer sandwiched between two metallic leads. Results will be given for…

Strongly Correlated Electrons · Physics 2017-09-07 Irakli Titvinidze , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

A generalized RPA formalism is presented which treats pp and ph correlations on an equal footing. The effect of these correlations on the single-particle Green function is discussed and it is demonstrated that a self-consistent treatment of…

Nuclear Theory · Physics 2009-10-28 E. Heinz , H. M"uther , H. A. Mavromatis

There is extensive current interest about electronic topology in correlated settings. In strongly correlated systems, contours of Green's function zeros may develop in frequency-momentum space, and their role in correlated topology has…

Strongly Correlated Electrons · Physics 2024-09-05 Chandan Setty , Fang Xie , Shouvik Sur , Lei Chen , Maia G. Vergniory , Qimiao Si

We develop a Green's function approach to quasiparticle excitations of open-shell systems within the GW approximation. It is shown that accurate calculations of the characteristic multiplet structure require a precise knowledge of the self…

Materials Science · Physics 2014-09-11 Johannes Lischner , Jack Deslippe , Manish Jain , Steven G. Louie

Periodically driven nonequilibrium many-body systems are interesting because they have a quasi-energy spectra, which can be tailored by controlling the external driving fields. We derive the general spectral representation of retarded Green…

Strongly Correlated Electrons · Physics 2019-04-10 Götz S. Uhrig , Mona H. Kalthoff , James K. Freericks