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 …

Quantum critical points and the sign problem

R Mondaini, S Tarat, RT Scalettar - Science, 2022 - science.org
The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

Scaling of entanglement entropy at deconfined quantum criticality

J Zhao, YC Wang, Z Yan, M Cheng, ZY Meng - Physical Review Letters, 2022 - APS
We develop a nonequilibrium increment method to compute the Rényi entanglement
entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large …

Unconventional superconductivity in nearly flat bands in twisted bilayer graphene

B Roy, V Juričić - Physical Review B, 2019 - APS
Flat electronic bands can accommodate a plethora of interaction-driven quantum phases,
since kinetic energy is quenched therein and electronic interactions therefore prevail …

Localized magnetic field in the O (N) model

G Cuomo, Z Komargodski, M Mezei - Journal of High Energy Physics, 2022 - Springer
A bstract We consider the critical O (N) model in the presence of an external magnetic field
localized in space. This setup can potentially be realized in quantum simulators and in some …

Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene

XY Xu, KT Law, PA Lee - Physical Review B, 2018 - APS
Using large-scale quantum Monte Carlo simulations, we exactly solve a model of fermions
hop** on the honeycomb lattice with cluster charge interactions, which has been …

Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons

Y Otsuka, S Yunoki, S Sorella - Physical Review X, 2016 - APS
The metal-insulator transition has been a subject of intense research since Mott first
proposed that the metallic behavior of interacting electrons could turn to an insulating one as …

Spin impurities, Wilson lines and semiclassics

G Cuomo, Z Komargodski, M Mezei… - Journal of High Energy …, 2022 - Springer
A bstract We consider line defects with large quantum numbers in conformal field theories.
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …

Phases of Wilson lines in conformal field theories

O Aharony, G Cuomo, Z Komargodski, M Mezei… - Physical review …, 2023 - APS
We study the low-energy limit of Wilson lines (charged impurities) in conformal gauge
theories in 2+ 1 and 3+ 1 dimensions. As a function of the representation of the Wilson line …