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 …

[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 …

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 …

Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas

T Hartke, B Oreg, N Jia, M Zwierlein - Physical Review Letters, 2020 - APS
We report on the single atom and single site-resolved detection of the total density in a cold
atom realization of the 2D Fermi-Hubbard model. Fluorescence imaging of doublons is …

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 …

Extended metal-insulator crossover with strong antiferromagnetic spin correlation in half-filled 3d Hubbard model

YF Song, Y Deng, YY He - Physical Review Letters, 2025 - APS
The Hubbard model at temperatures above the Néel transition, despite being a paramagnet,
can exhibit rich physics due to the interplay of Fermi surface, on-site interaction U and …

Quantitative functional renormalization group description of the two-dimensional Hubbard model

C Hille, FB Kugler, CJ Eckhardt, YY He, A Kauch… - Physical Review …, 2020 - APS
Using a leading algorithmic implementation of the functional renormalization group (fRG) for
interacting fermions on two-dimensional lattices, we provide a detailed analysis of its …

Two-dimensional Hubbard model at finite temperature: Weak, strong, and long correlation regimes

FŠ Iv, R Rossi, M Ferrero - Physical Review Research, 2022 - APS
We investigate the momentum-resolved spin and charge susceptibilities, as well as the
chemical potential and double occupancy in the two-dimensional Hubbard model as …

Magnetic phase diagram of the three-dimensional doped Hubbard model

L Rampon, F Šimkovic IV, M Ferrero - Physical Review Letters, 2025 - APS
We establish the phase diagram of the Hubbard model on a cubic lattice for a wide range of
temperatures, do**s, and interaction strengths, considering both commensurate and …

Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study

YF Song, Y Deng, YY He - Physical Review B, 2025 - APS
The interplay between quantum and thermal fluctuations can induce rich phenomena at
finite temperatures in strongly correlated fermion systems. Here we report a numerically …