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 …

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 …

Orbital-selective superconductivity in a two-band model of infinite-layer nickelates

P Adhikary, S Bandyopadhyay, T Das, I Dasgupta… - Physical Review B, 2020 - APS
In the present Rapid Communication, we explore superconductivity in Nd Ni O 2 and La Ni O
2 employing a first-principles derived low-energy model Hamiltonian, consisting of two …

Magnon interactions in a moderately correlated Mott insulator

Q Wang, S Mustafi, E Fogh, N Astrakhantsev… - Nature …, 2024 - nature.com
Quantum fluctuations in low-dimensional systems and near quantum phase transitions have
significant influences on material properties. Yet, it is difficult to experimentally gauge the …

Interconnected renormalization of Hubbard bands and Green's function zeros in Mott insulators induced by strong magnetic fluctuations

EA Stepanov, M Chatzieleftheriou, N Wagner… - Physical Review B, 2024 - APS
We analyze the role of spatial electronic correlations and, in particular, of the magnetic
fluctuations in Mott insulators. A half-filled Hubbard model is solved at large strength of the …

Dual boson diagrammatic Monte Carlo approach applied to the extended Hubbard model

M Vandelli, V Harkov, EA Stepanov, J Gukelberger… - Physical Review B, 2020 - APS
In this work we introduce the dual boson diagrammatic Monte Carlo technique for strongly
interacting electronic systems. This method combines the strength of dynamical mean-filed …

Extended regime of metastable metallic and insulating phases in a two-orbital electronic system

M Vandelli, J Kaufmann, V Harkov, AI Lichtenstein… - Physical Review …, 2023 - APS
We investigate the metal-to-insulator phase transition driven by the density-density
electronic interaction in the quarter-filled model on a cubic lattice with two orbitals split by a …

Dual parquet scheme for the two-dimensional Hubbard model: Modeling low-energy physics of high- cuprates with high momentum resolution

GV Astretsov, G Rohringer, AN Rubtsov - Physical Review B, 2020 - APS
We present a method to treat the two-dimensional (2D) Hubbard model for parameter
regimes which are relevant for the physics of the high-T c superconducting cuprates. Unlike …

Antiferromagnetic and spin spiral correlations in the doped two-dimensional Hubbard model: gauge symmetry, Ward identities, and dynamical mean-field theory …

IA Goremykin, AA Katanin - Physical Review B, 2024 - APS
We reconsider derivation of Ward identities for spin stiffnesses, which determine the
nonlinear sigma model of magnetic degrees of freedom of interacting electrons in the …

Charge order and antiferromagnetism in the extended Hubbard model

J Paki, H Terletska, S Iskakov, E Gull - Physical Review B, 2019 - APS
We study the extended Hubbard model on a two-dimensional half-filled square lattice using
the dynamical cluster approximation. We present results on the phase boundaries between …