Moiré patterns in 2D materials: a review

F He, Y Zhou, Z Ye, SH Cho, J Jeong, X Meng… - ACS nano, 2021 - ACS Publications
Quantum materials have attracted much attention in recent years due to their exotic and
incredible properties. Among them, van der Waals materials stand out due to their weak …

Electronic-structure methods for twisted moiré layers

S Carr, S Fang, E Kaxiras - Nature Reviews Materials, 2020 - nature.com
When single layers of 2D materials are stacked on top of one another with a small twist in
orientation, the resulting structure often involves incommensurate moiré patterns. In these …

Intelligent infrared sensing enabled by tunable moiré quantum geometry

C Ma, S Yuan, P Cheung, K Watanabe, T Taniguchi… - Nature, 2022 - nature.com
Quantum geometric properties of Bloch wave functions in solids, that is, Berry curvature and
the quantum metric, are known to significantly influence the ground-and excited-state …

Magic-angle helical trilayer graphene

T Devakul, PJ Ledwith, LQ **a, A Uri… - Science …, 2023 - science.org
We propose magic-angle helical trilayer graphene (HTG), a helical structure featuring
identical rotation angles between three consecutive layers of graphene, as a unique and …

Strongly correlated Chern insulators in magic-angle twisted bilayer graphene

KP Nuckolls, M Oh, D Wong, B Lian, K Watanabe… - Nature, 2020 - nature.com
Interactions between electrons and the topology of their energy bands can create unusual
quantum phases of matter. Most topological electronic phases appear in systems with weak …

Orderly disorder in magic-angle twisted trilayer graphene

S Turkel, J Swann, Z Zhu, M Christos, K Watanabe… - Science, 2022 - science.org
Magic-angle twisted trilayer graphene (TTG) has recently emerged as a platform to engineer
strongly correlated flat bands. We reveal the normal-state structural and electronic properties …

Programming twist angle and strain profiles in 2D materials

M Kapfer, BS Jessen, ME Eisele, M Fu, DR Danielsen… - Science, 2023 - science.org
Moiré superlattices in twisted two-dimensional materials have generated tremendous
excitement as a platform for achieving quantum properties on demand. However, the moiré …

Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene

Y Jiang, X Lai, K Watanabe, T Taniguchi, K Haule… - Nature, 2019 - nature.com
Bilayer graphene can be modified by rotating (twisting) one layer with respect to the other.
The interlayer twist gives rise to a moiré superlattice that affects the electronic motion and …

Fractional Chern insulators versus nonmagnetic states in twisted bilayer

J Yu, J Herzog-Arbeitman, M Wang, O Vafek… - Physical Review B, 2024 - APS
Fractionally filled Chern bands with strong interactions may give rise to fractional Chern
insulator (FCI) states, the zero-field analog of the fractional quantum Hall effect. Recent …

Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene

Y **e, B Lian, B Jäck, X Liu, CL Chiu, K Watanabe… - Nature, 2019 - nature.com
The discovery of superconducting and insulating states in magic-angle twisted bilayer
graphene (MATBG), has ignited considerable interest in understanding the nature of …