Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G Rohringer, H Hafermann, A Toschi, AA Katanin… - Reviews of Modern …, 2018 - APS
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

Solutions of the two-dimensional Hubbard model: benchmarks and results from a wide range of numerical algorithms

JPF LeBlanc, AE Antipov, F Becca, IW Bulik, GKL Chan… - Physical Review X, 2015 - APS
Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …

Dynamical screening in correlated electron systems—from lattice models to realistic materials

P Werner, M Casula - Journal of Physics: Condensed Matter, 2016 - iopscience.iop.org
Recent progress in treating the dynamical nature of the screened Coulomb interaction in
strongly correlated lattice models and materials is reviewed with a focus on computational …

Connections and performances of Green's function methods for charged and neutral excitations

E Monino, PF Loos - The Journal of Chemical Physics, 2023 - pubs.aip.org
In recent years, Green's function methods have garnered considerable interest due to their
ability to target both charged and neutral excitations. Among them, the well-established GW …

Finite temperature quantum embedding theories for correlated systems

D Zgid, E Gull - New Journal of Physics, 2017 - iopscience.iop.org
The cost of the exact solution of the many-electron problem is believed to be exponential in
the number of degrees of freedom, necessitating approximations that are controlled and …

Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method

N Martin, C Gauvin-Ndiaye, AMS Tremblay - Physical Review B, 2023 - APS
Theoretical methods that are accurate for both short-distance observables and long-
wavelength collective modes are still being developed for the Hubbard model. Here, we …

Mott physics and spin fluctuations: A functional viewpoint

T Ayral, O Parcollet - Physical Review B, 2016 - APS
We present a formalism for strongly correlated systems with fermions coupled to bosonic
modes. We construct the three-particle irreducible functional K by successive Legendre …

Consistent partial bosonization of the extended Hubbard model

EA Stepanov, V Harkov, AI Lichtenstein - Physical Review B, 2019 - APS
We design an efficient and balanced approach that captures major effects of collective
electronic fluctuations in strongly correlated fermionic systems using a simple diagrammatic …

Renormalized singles green's function in the T-matrix approximation for accurate quasiparticle energy calculation

J Li, Z Chen, W Yang - The journal of physical chemistry letters, 2021 - ACS Publications
We combine the renormalized singles (RS) Green's function with the T-matrix approximation
for the single-particle Green's function to compute quasiparticle energies for valence and …

Quantum Monte Carlo for correlated out-of-equilibrium nanoelectronic devices

REV Profumo, C Groth, L Messio, O Parcollet… - Physical Review B, 2015 - APS
We present a simple, general purpose, quantum Monte Carlo algorithm for out-of-
equilibrium interacting nanoelectronic systems. It allows one to systematically compute the …