4.6 Article

The Kadanoff-Baym approach to double excitations in finite systems

Journal

NEW JOURNAL OF PHYSICS
Volume 14, Issue -, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/14/1/013032

Keywords

-

Funding

  1. Academy of Finland

Ask authors/readers for more resources

We benchmark many-body perturbation theory by studying neutral, as well as non-neutral, excitations of finite lattice systems. The neutral excitation spectra are obtained by time-propagating the Kadanoff-Baym equations in the Hartree-Fock and the second Born approximations. Our method is equivalent to solving the Bethe-Salpeter equation with a high-level kernel while respecting self-consistency, which guarantees the fulfillment of a frequency sum rule. As a result, we find that a time-local method, such as Hartree-Fock, can give incomplete spectra, while already the second Born approximation, which is the simplest time-non-local approximation, reproduces well most of the additional excitations, which are characterized as double excitations.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Physics, Condensed Matter

Numerical construction of the density-potential mapping

Soeren E. B. Nielsen, Michael Ruggenthaler, Robert van Leeuwen

EUROPEAN PHYSICAL JOURNAL B (2018)

Article Physics, Condensed Matter

Approximate energy functionals for one-body reduced density matrix functional theory from many-body perturbation theory

Klaas J. H. Giesbertz, Anna-Maija Uimonen, Robert van Leeuwen

EUROPEAN PHYSICAL JOURNAL B (2018)

Article Physics, Multidisciplinary

Contour calculus for many-particle functions

M. J. Hyrkas, D. Karlsson, R. van Leeuwen

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2019)

Article Physics, Condensed Matter

Diagrammatic Expansion for Positive Spectral Functions in the Steady-State Limit

Markku Hyrkas, Daniel Karlsson, Robert van Leeuwen

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS (2019)

Article Physics, Multidisciplinary

Distinguishing Majorana zero modes from impurity states through time-resolved transport

Riku Tuovinen, Enrico Perfetto, Robert van Leeuwen, Gianluca Stefanucci, Michael A. Sentef

NEW JOURNAL OF PHYSICS (2019)

Article Physics, Multidisciplinary

Fast Green's Function Method for Ultrafast Electron-Boson Dynamics

Daniel Karlsson, Robert van Leeuwen, Yaroslav Pavlyukh, Enrico Perfetto, Gianluca Stefanucci

Summary: This paper presents a computationally efficient Green's function scheme, enabling real-time simulations of electron-boson interactions with linear scaling of numerical effort with propagation time. The real-time study highlights the nonthermal behavior of phononic degrees of freedom in phonon-driven relaxation dynamics.

PHYSICAL REVIEW LETTERS (2021)

Article Chemistry, Physical

Density-functional theory on graphs

Markus Penz, Robert van Leeuwen

Summary: The study on the principles of density-functional theory applied to finite lattice systems represented by graphs has revealed surprising characteristics and insights into the topological structure of the density-potential mapping. By providing precise conditions for the uniqueness of v-representability of a ground state and demonstrating that this property holds for almost all densities, the non-convexity of the pure-state constrained-search functional is illustrated through a set of examples.

JOURNAL OF CHEMICAL PHYSICS (2021)

Article Physics, Multidisciplinary

Cutting rules and positivity in finite temperature many-body theory

M. J. Hyrkas, D. Karlsson, R. van Leeuwen

Summary: This paper presents an improved diagrammatic approximation method to preserve the positivity of observables at finite temperature. By using cutting rules, it solves the problem of negative spectral densities and non-vanishing vacuum diagrams, and also derives an analytic continuation relation between retarded N-point functions and their Matsubara counterparts.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Article Materials Science, Multidisciplinary

Time-linear scaling nonequilibrium Green's function methods for real-time simulations of interacting electrons and bosons. I. Formalism

Y. Pavlyukh, E. Perfetto, Daniel Karlsson, Robert van Leeuwen, G. Stefanucci

Summary: This study presents a versatile toolbox for simulating the dynamics of interacting electron-boson systems out of equilibrium. It relies on the formalism of nonequilibrium Green's functions and the time-linear formulation of the Kadanoff-Baym equations. The toolbox includes various methods for treating electron-boson interactions and the Coulomb interaction, with linear scaling in time and satisfaction of fundamental conservation laws in all cases.

PHYSICAL REVIEW B (2022)

Article Materials Science, Multidisciplinary

Time-linear scaling nonequilibrium Green's function method for real-time simulations of interacting electrons and bosons. II. Dynamics of polarons and doublons

Y. Pavlyukh, E. Perfetto, Daniel Karlsson, Robert van Leeuwen, G. Stefanucci

Summary: The nonequilibrium dynamics of the open chain Holstein-Hubbard model is investigated using the linear time-scaling GKBA-PODE scheme. The study focuses on the parameters relevant to photovoltaic materials and accurately treats the electronic-electronic and electron-phonon correlations. The inclusion of the feedback of electrons on phonons is shown to be crucial for the conservation of total energy.

PHYSICAL REVIEW B (2022)

Article Materials Science, Multidisciplinary

Dynamically screened vertex correction to GW

Y. Pavlyukh, G. Stefanucci, R. van Leeuwen

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Many-body Green's function theory of electrons and nuclei beyond the Born-Oppenheimer approximation

Ville J. Haerkoenen, Robert van Leeuwen, E. K. U. Gross

PHYSICAL REVIEW B (2020)

Article Optics

Strictly-correlated-electron approach to excitation energies of dissociating molecules

Luis Cort, Soeren Ersbak Bang Nielsen, Robert van Leeuwen

PHYSICAL REVIEW A (2019)

Article Materials Science, Multidisciplinary

The generalized Kadanoff-Baym ansatz with initial correlations

Daniel Karlsson, Robert van Leeuwen, Enrico Perfetto, Gianluca Stefanucci

PHYSICAL REVIEW B (2018)

Article Optics

Time-dependent density-functional theory for strongly interacting electrons

Luis Cort, Daniel Karlsson, Giovanna Lani, Robert van Leeuwen

PHYSICAL REVIEW A (2017)

No Data Available