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 …

Antiferromagnetic phase transition in a 3D fermionic Hubbard model

HJ Shao, YX Wang, DZ Zhu, YS Zhu, HN Sun, SY Chen… - Nature, 2024 - nature.com
The fermionic Hubbard model (FHM) describes a wide range of physical phenomena
resulting from strong electron–electron correlations, including conjectured mechanisms for …

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 …

Geometry dependence of the sign problem in quantum Monte Carlo simulations

VI Iglovikov, E Khatami, RT Scalettar - Physical Review B, 2015 - APS
The sign problem is the fundamental limitation to quantum Monte Carlo simulations of the
statistical mechanics of interacting fermions. Determinant quantum Monte Carlo (DQMC) is …

Superconducting phases of the square-lattice extended Hubbard model

WC Chen, Y Wang, CC Chen - Physical Review B, 2023 - APS
We study the square-lattice extended Hubbard model with on-site U and nearest-neighbor V
interactions by exact diagonalization. We show that nonequilibrium quench dynamics can …

Stripe order manipulated dominant pairing symmetry in the Hubbard model

C Chen, Z Fan, R Ma, Y Pan, Y Liang, B Huang, T Ma - Physical Review B, 2024 - APS
Understanding the relationship between stripe order and other phenomena, including
antiferromagnetism and superconductivity, is one of the central issues in cuprate …

Dynamical mean-field theory study of stripe order and -wave superconductivity in the two-dimensional Hubbard model

TI Vanhala, P Törmä - Physical Review B, 2018 - APS
We use cellular dynamical mean-field theory with extended unit cells to study the ground
state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the …

Drastic enhancement of -wave superconductivity in an extended checkerboard Hubbard model

K Cheng, SC Fang, ZB Huang - Physical Review B, 2024 - APS
Motivated by the recent discovery of anomalously strong nearest-neighbor attraction in the
one-dimensional hole-doped cuprate Ba 2+ x Sr x CuO 3+ δ, we investigate the d-wave …

Magnetization, -wave superconductivity, and non-Fermi-liquid behavior in a crossover from dispersive to flat bands

P Kumar, TI Vanhala, P Törmä - Physical Review B, 2019 - APS
We explore the effect of inhomogeneity on electronic properties of the two-dimensional
Hubbard model on a square lattice using dynamical mean-field theory (DMFT). The …

Enhancement of -wave pairing in the striped phase with nearest neighbor attraction

L Zhang, T Guo, Y Mou, Q Chen, T Ma - Physical Review B, 2022 - APS
Recent experimental results of angle-resolved photoemission spectroscopy suggested that
an additional strong nearest neighbor attraction in the Hubbard model might be significant …