The hubbard model

DP Arovas, E Berg, SA Kivelson… - Annual review of …, 2022 - annualreviews.org
The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …

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 …

The physics of pair-density waves: cuprate superconductors and beyond

DF Agterberg, JCS Davis, SD Edkins… - Annual Review of …, 2020 - annualreviews.org
We review the physics of pair-density wave (PDW) superconductors. We begin with a
macroscopic description that emphasizes order induced by PDW states, such as charge …

Stripe order in the underdoped region of the two-dimensional Hubbard model

BX Zheng, CM Chung, P Corboz, G Ehlers, MP Qin… - Science, 2017 - science.org
Competing inhomogeneous orders are a central feature of correlated electron materials,
including the high-temperature superconductors. The two-dimensional Hubbard model …

Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t

HC Jiang, TP Devereaux - Science, 2019 - science.org
The Hubbard model is widely believed to contain the essential ingredients of high-
temperature superconductivity. However, proving definitively that the model supports …

Ground-state phase diagram of the tt-J model

S Jiang, DJ Scalapino… - Proceedings of the …, 2021 - National Acad Sciences
We report results of large-scale ground-state density matrix renormalization group (DMRG)
calculations on tt′-J cylinders with circumferences 6 and 8. We determine a rough phase …

Absence of superconductivity in the pure two-dimensional Hubbard model

M Qin, CM Chung, H Shi, E Vitali, C Hubig… - Physical Review X, 2020 - APS
We study the superconducting pairing correlations in the ground state of the doped Hubbard
model—in its original form without hopping beyond nearest neighbor or other perturbing …

Pair-density-wave and chiral superconductivity in twisted bilayer transition metal dichalcogenides

YM Wu, Z Wu, H Yao - Physical Review Letters, 2023 - APS
We theoretically explore possible orders induced by weak repulsive interactions in twisted
bilayer transition metal dichalcogenides (eg, WSe 2) in the presence of an out-of-plane …

Robust -Wave Superconductivity in the Square-Lattice Model

S Gong, W Zhu, DN Sheng - Physical Review Letters, 2021 - APS
Unravelling competing orders emergent in doped Mott insulators and their interplay with
unconventional superconductivity is one of the major challenges in condensed matter …

Stripe order enhanced superconductivity in the Hubbard model

HC Jiang, SA Kivelson - Proceedings of the National …, 2022 - National Acad Sciences
Unidirectional (“stripe”) charge density wave order has now been established as a
ubiquitous feature in the phase diagram of the cuprate high-temperature superconductors …