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We present the multi-channel Dyson equation that combines two or more many-body Green's functions to describe the electronic structure of materials. In this work we use it to model photoemission spectra by coupling the one-body Green's…

Strongly Correlated Electrons · Physics 2023-10-03 Gabriele Riva , Pina Romaniello , J. Arjan Berger

The experimental valence band photoemission spectrum of semiconductors exhibits multiple satellites that cannot be described by the GW approximation for the self-energy in the framework of many-body perturbation theory. Taking silicon as a…

We present the screened multichannel Dyson equation for the simulation of both direct and inverse photoemission spectra from first principles. The screened multichannel Dyson equation improves upon the standard multichannel Dyson equation…

Other Condensed Matter · Physics 2026-03-31 Pina Romaniello , J. Arjan Berger

Several photoemission spectroscopies and, in particular, Auger spectroscopy, involve double-ionization processes. For the numerical simulation of these spectroscopies it is convenient to use the particle-particle channel of the two-body…

Strongly Correlated Electrons · Physics 2026-04-02 Pierre Sellié , J. Arjan Berger , Pina Romaniello

We calculate the photoemission spectra of suspended and epitaxial doped graphene using an ab initio cumulant expansion of the Green's function based on the GW self-energy. Our results are compared to experiment and to standard GW…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Johannes Lischner , Derek Vigil-Fowler , Steven G. Louie

The total energy and electron addition and removal spectra can in principle be obtained exactly from the one-body Green's function. In practice, the Green's function is obtained from an approximate self-energy. In the framework of many-body…

Strongly Correlated Electrons · Physics 2023-12-08 Abdallah El-Sahili , Francesco Sottile , Lucia Reining

Measurable spectra are theoretically very often derived from complicated many-body Green's functions. In this way, one calculates much more information than actually needed. Here we present an in principle exact approach to construct…

Materials Science · Physics 2010-09-08 Matteo Gatti , Valerio Olevano , Lucia Reining , Ilya V. Tokatly

We present a method for the calculation of photoemission spectra in terms of reduced density matrices. We start from the spectral representation of the one-body Green's function G, whose imaginary part is related to photoemission spectra,…

Strongly Correlated Electrons · Physics 2016-11-23 Stefano Di Sabatino , J. A. Berger , Lucia Reining , Pina Romaniello

With the aim of identifying universal trends, we compare fully self-consistent electronic spectra and total energies obtained from the GW approximation with those from an extended GWGamma scheme that includes a nontrivial vertex function…

Materials Science · Physics 2007-05-23 Arno Schindlmayr , Thomas J. Pollehn , R. W. Godby

A new cumulant-based $GW$ approximation for the retarded one-particle Green's function is proposed, motivated by an exact relation between the improper Dyson self-energy and the cumulant generating function. Qualitative aspects of this…

Strongly Correlated Electrons · Physics 2016-09-21 Matthew Z. Mayers , Mark S. Hybertsen , David R. Reichman

The one-step model of valence-band photoemission and inverse photoemission from single-crystal surfaces is reformulated for generalized (non-local, complex and energy-dependent) potentials. Thereby, it becomes possible to account for…

Strongly Correlated Electrons · Physics 2009-10-30 M. Potthoff , J. Lachnitt , W. Nolting , J. Braun

We extend the concept of the multichannel Dyson equation that we have recently derived to model photoemission spectra by coupling the one- and the three-body Green's functions, to higher-order Green's functions and to other spectroscopies.…

Strongly Correlated Electrons · Physics 2025-01-09 Gabriele Riva , Théodore Fischer , Stefano Paggi , J. Arjan Berger , Pina Romaniello

Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory. They can be obtained by iterating a set of functional differential equations…

Strongly Correlated Electrons · Physics 2012-01-31 Giovanna Lani , Pina Romaniello , Lucia Reining

In a recent letter [Phys. Rev. Lett. 131, 216401] we presented the multichannel Dyson equation (MCDE) in which two or more many-body Green's functions are coupled. In this work we will give further details of the MCDE approach. In…

Nuclear Theory · Physics 2024-09-06 Gabriele Riva , Pina Romaniello , J. Arjan Berger

We present an approach to calculate the optical absorption spectra that combines the quasiparticle self-consistent GW method [Phys. Rev. B, 76 165106 (2007)] for the electronic structure with the solution of the ladder approximation to the…

Materials Science · Physics 2018-03-21 Brian Cunningham , Pooya Azarhoosh , Dimitar Pashov , Myrta Gruening , Mark van Schilfgaarde

The method is an extension to negative energies of a spectral integral equation method to solve the Schroedinger equation, developed previously for scattering applications. One important innovation is a re-scaling procedure in order to…

Computational Physics · Physics 2009-11-11 G. H. Rawitscher , I. Koltracht

We present a conceptually simple and technically straightforward method for calculating photoelectron wavefunctions that is easily integrable with standard wavefunction-based density-functional-theory packages. Our method is based on the…

Materials Science · Physics 2025-08-04 Ji Hoon Ryoo , Cheol-Hwan Park

Many-body functionals of the Green's function can provide fundamental advances in electronic-structure calculations, due to their ability to accurately predict both spectral and thermodynamic properties, such as angle-resolved photoemission…

Strongly Correlated Electrons · Physics 2025-08-26 Tommaso Chiarotti , Matteo Quinzi , Andrea Pintus , Mario Caserta , Andrea Ferretti , Nicola Marzari

We perform three-photon photoassociation to obtain high resolution spectra of $^{87}$Rb trilobite dimers for the principal quantum numbers $n = 22,24,25,26$, and $27$. The large binding energy of the molecules in combination with a relative…

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
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