158 citations · 777 across the 35 of their papers we have counts for
10 papers · 1 filter
Benchmark of Multi-Channel Dyson Equation and Algebraic Diagrammatic Construction Methods for molecules
Mike Keizer, Stefano Paggi, J. Arjan Berger +2
The Dyson-algebraic diagrammatic construction (ADC) and the multi-channel Dyson equation (MCDE) formalisms explicitly leverage multi-particle channels to formulate correlated theor…
Anomalous propagators and the particle-particle channel: Bethe-Salpeter equation
Antoine Marie, Pina Romaniello, Xavier Blase +1
The Bethe-Salpeter equation has been extensively employed to compute the two-body electron-hole propagator and its poles which correspond to the neutral excitation energies of the…
Anomalous propagators and the particle-particle channel: Hedin's equations
Antoine Marie, Pina Romaniello, Pierre-François Loos
Hedin's equations provide an elegant route to compute the exact one-body Green's function (or propagator) via the self-consistent iteration of a set of non-linear equations. Its fi…
The three channels of many-body perturbation theory: , particle-particle, and electron-hole -matrix self-energies
Roberto Orlando, Pina Romaniello, Pierre-François Loos
We derive the explicit expression of the three self-energies that one encounters in many-body perturbation theory: the well-known self-energy, as well as the particle-particle…
Exploring new exchange-correlation kernels in the Bethe-Salpeter equation: a study of the asymmetric Hubbard dimer
Roberto Orlando, Pina Romaniello, Pierre-François Loos
The Bethe-Salpeter equation (BSE) is the key equation in many-body perturbation theory based on Green's functions to access response properties. Within the approximation to th…
Static and Dynamic Bethe-Salpeter Equations in the -Matrix Approximation
Pierre-François Loos, Pina Romaniello
While the well-established approximation corresponds to a resummation of the direct ring diagrams and is particularly well suited for weakly-correlated systems, the -matrix…
Scrutinizing -based methods using the Hubbard dimer
Stefano Di Sabatino, Pierre-François Loos, Pina Romaniello
Using the simple (symmetric) Hubbard dimer, we analyze some important features of the approximation. We show that the problem of the existence of multiple quasiparticle soluti…
Unphysical Discontinuities in GW Methods
Mickaël Véril, Pina Romaniello, J. A. Berger +1
We report unphysical irregularities and discontinuities in some key experimentally-measurable quantities computed within the GW approximation of many-body perturbation theory appli…
Green functions and self-consistency: insights from the spherium model
Pierre-François Loos, Pina Romaniello, J. A. Berger
We report an exhaustive study of the performance of different variants of Green function methods for the spherium model in which two electrons are confined to the surface of a sphe…
On transition rates in surface hopping
J. M. Escartín, P. Romaniello, L. Stella +2
Trajectory surface hopping (TSH) is one of the most widely used quantum-classical algorithms for nonadiabatic molecular dynamics. Despite its empirical effectiveness and popularity…