The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021 - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

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 …

Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

w2dynamics: Local one-and two-particle quantities from dynamical mean field theory

M Wallerberger, A Hausoel, P Gunacker… - Computer Physics …, 2019 - Elsevier
We describe the hybridization-expansion continuous-time quantum Monte Carlo code
package “w2dynamics”, developed in Wien and Würzburg. We discuss the main features of …

Functional renormalization group for multi-orbital Fermi surface instabilities

C Platt, W Hanke, R Thomale - Advances in Physics, 2013 - Taylor & Francis
Technological progress in material synthesis, as well as artificial realization of condensed
matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin …

Fate of the false Mott-Hubbard transition in two dimensions

T Schäfer, F Geles, D Rost, G Rohringer, E Arrigoni… - Physical Review B, 2015 - APS
We have studied the impact of nonlocal electronic correlations at all length scales on the
Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model …

Mott physics and spin fluctuations: A unified framework

T Ayral, O Parcollet - Physical Review B, 2015 - APS
We present a formalism for strongly correlated electron systems which consists in a local
approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently …

Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics

O Gunnarsson, T Schäfer, JPF LeBlanc, E Gull… - Physical review …, 2015 - APS
We demonstrate how to identify which physical processes dominate the low-energy spectral
functions of correlated electron systems. We obtain an unambiguous classification through …