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 …

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 …

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 …

Fermi and Luttinger Arcs: Two Concepts, Realized on One Surface

P Worm, M Reitner, K Held, A Toschi - Physical Review Letters, 2024 - APS
We present an analytically solvable model for correlated electrons, which is able to capture
the major Fermi surface modifications occurring in both hole-and electron-doped cuprates …

Eliminating orbital selectivity from the metal-insulator transition by strong magnetic fluctuations

EA Stepanov - Physical Review Letters, 2022 - APS
The orbital-selective electronic behavior is one of the most remarkable manifestations of
strong electronic correlations in multiorbital systems. A prominent example is the orbital …

Boson-exchange parquet solver for dual fermions

F Krien, A Valli, P Chalupa, M Capone, AI Lichtenstein… - Physical Review B, 2020 - APS
We present and implement a parquet approximation within the dual-fermion formalism
based on a partial bosonization of the dual vertex function which substantially reduces the …

Spin and charge correlations across the metal-to-insulator crossover in the half-filled 2D Hubbard model

AJ Kim, F Simkovic IV, E Kozik - Physical Review Letters, 2020 - APS
The 2D Hubbard model with nearest-neighbor hop** on the square lattice and an average
of one electron per site is known to undergo an extended crossover from metallic to …

Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions

A Tagliavini, C Hille, F Kugler, S Andergassen… - SciPost Physics, 2019 - scipost.org
We present a functional renormalization group (fRG) study of the two dimensional Hubbard
model, performed with an algorithmic implementation which lifts some of the common …

Degenerate plaquette physics as key ingredient of high-temperature superconductivity in cuprates

M Danilov, EGCP van Loon, S Brener, S Iskakov… - npj Quantum …, 2022 - nature.com
We study the physics of high-temperature cuprate superconductors starting from the highly
degenerate four-site plaquette of the t− t′− U Hubbard model as a reference system. The …

Parquetlike equations for the Hedin three-leg vertex

F Krien, A Valli - Physical Review B, 2019 - APS
Taking the competition and the mutual screening of various bosonic fluctuations in
correlated electron systems into account requires an unbiased approach to the many-body …