Semiconductor moiré materials

KF Mak, J Shan - Nature Nanotechnology, 2022 - nature.com
Moiré materials have emerged as a platform for exploring the physics of strong electronic
correlations and non-trivial band topology. Here we review the recent progress in …

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 …

Continuous Mott transition in semiconductor moiré superlattices

T Li, S Jiang, L Li, Y Zhang, K Kang, J Zhu, K Watanabe… - Nature, 2021 - nature.com
The evolution of a Landau Fermi liquid into a non-magnetic Mott insulator with increasing
electronic interactions is one of the most puzzling quantum phase transitions in physics …

Frustration-and doping-induced magnetism in a Fermi–Hubbard simulator

M Xu, LH Kendrick, A Kale, Y Gang, G Ji, RT Scalettar… - Nature, 2023 - nature.com
Geometrical frustration in strongly correlated systems can give rise to a plethora of novel
ordered states and intriguing magnetic phases, such as quantum spin liquids,–. Promising …

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 …

SU (4) chiral spin liquid, exciton supersolid, and electric detection in moiré bilayers

YH Zhang, DN Sheng, A Vishwanath - Physical review letters, 2021 - APS
We propose a moiré bilayer as a platform where exotic quantum phases can be stabilized
and electrically detected. Moiré bilayers consist of two separate moiré superlattice layers …

Dynamical mean-field theory of moiré bilayer transition metal dichalcogenides: Phase diagram, resistivity, and quantum criticality

J Zang, J Wang, J Cano, A Georges, AJ Millis - Physical Review X, 2022 - APS
We present a comprehensive dynamical mean field study of the triangular lattice moiré
Hubbard model, which is believed to represent the physics of moiré bilayer transition metal …

High-temperature kinetic magnetism in triangular lattices

I Morera, M Kanász-Nagy, T Smolenski, L Ciorciaro… - Physical Review …, 2023 - APS
We study kinetic magnetism for the Fermi-Hubbard model in triangular lattices. We focus on
the regime of strong interactions, U≫ t, and filling factors around one electron per site. For …

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 …

Quantum spin liquid with emergent chiral order in the triangular-lattice Hubbard model

BB Chen, Z Chen, SS Gong, DN Sheng, W Li… - Physical Review B, 2022 - APS
The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum
state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model …