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 …

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 …

Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory

BX Zheng, GKL Chan - Physical Review B, 2016 - APS
We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard
models on the square lattice with density matrix embedding theory using clusters of up to 16 …

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 …

Magnetic correlations in infinite-layer nickelates: An experimental and theoretical multimethod study

RA Ortiz, P Puphal, M Klett, F Hotz, RK Kremer… - Physical Review …, 2022 - APS
We report a comprehensive study of magnetic correlations in LaNiO 2, a parent compound
of the recently discovered family of infinite-layer (IL) nickelate superconductors, using …

[HTML][HTML] Superconductivity in high-Tc and related strongly correlated systems from variational perspective: Beyond mean field theory

J Spałek, M Fidrysiak, M Zegrodnik, A Biborski - Physics Reports, 2022 - Elsevier
The principal purpose of this topical review is to single out some of the universal features of
high-temperature (high-T c) and related strongly-correlated systems, which can be …

High-frequency asymptotics of the vertex function: Diagrammatic parametrization and algorithmic implementation

N Wentzell, G Li, A Tagliavini, C Taranto, G Rohringer… - Physical Review B, 2020 - APS
Vertex functions are a crucial ingredient of several forefront many-body algorithms in
condensed matter physics. However, the full treatment of their frequency and momentum …

Optimizing superconductivity: from cuprates via nickelates to palladates

M Kitatani, L Si, P Worm, JM Tomczak, R Arita… - Physical Review Letters, 2023 - APS
Motivated by cuprate and nickelate superconductors, we perform a comprehensive study of
the superconducting instability in the single-band Hubbard model. We calculate the …