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 …

Origin and fate of the pseudogap in the doped Hubbard model

F Šimkovic IV, R Rossi, A Georges, M Ferrero - Science, 2024 - science.org
The relationship between the pseudogap and underlying ground-state phases has not yet
been rigorously established. We investigated the doped two-dimensional Hubbard model at …

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 …

Effects of strong electronic interactions on the thermopower properties of the repulsive Hubbard model

WCF Silva, MV Araujo, S Roy, A Samanta, NC Costa… - Physical Review B, 2023 - APS
We obtain the Seebeck coefficient or thermopower S, which determines the conversion
efficiency from thermal to electrical energy, for the two-dimensional Hubbard model on …

Renormalized perturbation theory at large expansion orders

R Rossi, F Šimkovic, M Ferrero - Europhysics Letters, 2020 - iopscience.iop.org
We present a general formalism that allows for the computation of large-order renormalized
expansions, effectively doubling the numerically attainable perturbation order of …

Evaluating second-order phase transitions with diagrammatic Monte Carlo: Néel transition in the doped three-dimensional Hubbard model

C Lenihan, AJ Kim, F Šimkovic IV, E Kozik - Physical Review Letters, 2022 - APS
Diagrammatic Monte Carlo—the technique for the numerically exact summation of all
Feynman diagrams to high orders—offers a unique unbiased probe of continuous phase …

Combinatorial summation of Feynman diagrams

E Kozik - Nature Communications, 2024 - nature.com
Feynman's diagrammatic series is a common language for a formally exact theoretical
description of systems of infinitely-many interacting quantum particles, as well as a …

Analytical solution for time integrals in diagrammatic expansions: Application to real-frequency diagrammatic Monte Carlo

J Vučičević, P Stipsić, M Ferrero - Physical Review Research, 2021 - APS
Recent years have seen a revived interest in the diagrammatic Monte Carlo (DiagMC)
methods for interacting fermions on a lattice. A promising recent development allows one to …

Combinatorial summation of Feynman diagrams: Equation of state of the 2D SU (N) Hubbard model

E Kozik - arxiv preprint arxiv:2309.13774, 2023 - arxiv.org
We introduce a universal framework for efficient summation of connected or skeleton
Feynman diagrams for generic quantum many-body systems. It is based on explicit …