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 …

Cuprate superconductors as viewed through a striped lens

JM Tranquada - Advances in Physics, 2020 - Taylor & Francis
Understanding the electron pairing in hole-doped cuprate superconductors has been a
challenge, in particular because the “normal” state from which it evolves is unprecedented …

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 …

Fermionic wave functions from neural-network constrained hidden states

J Robledo Moreno, G Carleo, A Georges… - Proceedings of the …, 2022 - pnas.org
We introduce a systematically improvable family of variational wave functions for the
simulation of strongly correlated fermionic systems. This family consists of Slater …

Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice Model

X Lu, F Chen, W Zhu, DN Sheng, SS Gong - Physical review letters, 2024 - APS
The square-lattice Hubbard and closely related tJ models are considered as basic
paradigms for understanding strong correlation effects and unconventional …

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 …

Tangent space approach for thermal tensor network simulations of the 2D Hubbard model

Q Li, Y Gao, YY He, Y Qi, BB Chen, W Li - Physical Review Letters, 2023 - APS
Accurate simulations of the two-dimensional (2D) Hubbard model constitute one of the most
challenging problems in condensed matter and quantum physics. Here we develop a …

Density matrix renormalization group based downfolding of the three-band Hubbard model: Importance of density-assisted hop**

S Jiang, DJ Scalapino, SR White - Physical Review B, 2023 - APS
Typical Wannier-function downfolding starts with a mean-field or density functional set of
bands to construct the Wannier functions. Here, we carry out a controlled approach, using …

Stripes and spin-density waves in the doped two-dimensional Hubbard model: Ground state phase diagram

H Xu, H Shi, E Vitali, M Qin, S Zhang - Physical Review Research, 2022 - APS
We determine the spin and charge orders in the ground state of the doped two-dimensional
(2D) Hubbard model in its simplest form, namely with only nearest-neighbor hop** and on …

Quantum many-body systems in thermal equilibrium

ÁM Alhambra - PRX Quantum, 2023 - APS
The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For
models comprised of many locally interacting quantum particles, it describes a wide range of …