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 …

Isospin magnetism and spin-polarized superconductivity in Bernal bilayer graphene

H Zhou, L Holleis, Y Saito, L Cohen, W Huynh… - Science, 2022 - science.org
In conventional superconductors, Cooper pairing occurs between electrons of opposite spin.
We observe spin-polarized superconductivity in Bernal bilayer graphene when doped to a …

Tunable spin-polarized correlated states in twisted double bilayer graphene

X Liu, Z Hao, E Khalaf, JY Lee, Y Ronen, H Yoo… - Nature, 2020 - nature.com
Reducing the energy bandwidth of electrons in a lattice below the long-range Coulomb
interaction energy promotes correlation effects. Moiré superlattices—which are created by …

Half-and quarter-metals in rhombohedral trilayer graphene

H Zhou, T **e, A Ghazaryan, T Holder, JR Ehrets… - Nature, 2021 - nature.com
Ferromagnetism is most common in transition metal compounds where electrons occupy
highly localized d orbitals. However, ferromagnetic order may also arise in low-density two …

Low-frequency and Moiré–Floquet engineering: A review

M Rodriguez-Vega, M Vogl, GA Fiete - Annals of Physics, 2021 - Elsevier
We review recent work on low-frequency Floquet engineering and its application to quantum
materials driven by light, focusing on van der Waals systems hosting Moiré superlattices …

Ground state and hidden symmetry of magic-angle graphene at even integer filling

N Bultinck, E Khalaf, S Liu, S Chatterjee, A Vishwanath… - Physical Review X, 2020 - APS
In magic angle twisted bilayer graphene (TBG), electron-electron interactions play a central
role, resulting in correlated insulating states at certain integer fillings. Identifying the nature …

Electrical switching of magnetic order in an orbital Chern insulator

H Polshyn, J Zhu, MA Kumar, Y Zhang, F Yang… - Nature, 2020 - nature.com
Magnetism typically arises from the joint effect of Fermi statistics and repulsive Coulomb
interactions, which favours ground states with non-zero electron spin. As a result, controlling …

Cascade of isospin phase transitions in Bernal-stacked bilayer graphene at zero magnetic field

SC de la Barrera, S Aronson, Z Zheng, K Watanabe… - Nature Physics, 2022 - nature.com
Emergent phenomena arising from the collective behaviour of electrons is expected when
Coulomb interactions dominate over the kinetic energy, and one way to create this situation …

Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene

JY Lee, E Khalaf, S Liu, X Liu, Z Hao, P Kim… - Nature …, 2019 - nature.com
Two graphene monolayers twisted by a small magic angle exhibit nearly flat bands, leading
to correlated electronic states. Here we study a related but different system with reduced …

Vortexability: A unifying criterion for ideal fractional Chern insulators

PJ Ledwith, A Vishwanath, DE Parker - Physical Review B, 2023 - APS
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …