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 …

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 …

Coexistence of superconductivity with partially filled stripes in the Hubbard model

H Xu, CM Chung, M Qin, U Schollwöck, SR White… - Science, 2024 - science.org
The Hubbard model is an iconic model in quantum many-body physics and has been
intensely studied, especially since the discovery of high-temperature cuprate …

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 …

Phonon-mediated long-range attractive interaction in one-dimensional cuprates

Y Wang, Z Chen, T Shi, B Moritz, ZX Shen… - Physical Review Letters, 2021 - APS
Establishing a minimal microscopic model for cuprates is a key step towards the elucidation
of a high-T c mechanism. By a quantitative comparison with a recent in situ angle-resolved …

High temperature superconductivity in a lightly doped quantum spin liquid

HC Jiang, SA Kivelson - Physical Review Letters, 2021 - APS
We have performed density-matrix renormalization group studies of a square lattice tJ model
with small hole doping, δ≪ 1, on long four and six-leg cylinders. We include frustration in 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 …

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 …