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 …

Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene

JM Park, Y Cao, K Watanabe, T Taniguchi… - Nature, 2021 - nature.com
Moiré superlattices, have recently emerged as a platform upon which correlated physics and
superconductivity can be studied with unprecedented tunability,,–. Although correlated …

Orbital magnetic states in moiré graphene systems

J Liu, X Dai - Nature Reviews Physics, 2021 - nature.com
Moiré graphene systems have attracted considerable attention in the past 3 years because
they exhibit exotic phenomena including correlated insulating states, unconventional …

Superconductivity and strong interactions in a tunable moiré quasicrystal

A Uri, SC de la Barrera, MT Randeria… - Nature, 2023 - nature.com
Electronic states in quasicrystals generally preclude a Bloch description, rendering them
fascinating and enigmatic. Owing to their complexity and scarcity, quasicrystals are …

Promotion of superconductivity in magic-angle graphene multilayers

Y Zhang, R Polski, C Lewandowski, A Thomson… - Science, 2022 - science.org
Graphene moiré superlattices show an abundance of correlated insulating, topological, and
superconducting phases. Whereas the origins of strong correlations and nontrivial topology …

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 …

Twisted bilayer graphene. III. Interacting Hamiltonian and exact symmetries

BA Bernevig, ZD Song, N Regnault, B Lian - Physical Review B, 2021 - APS
We derive the explicit Hamiltonian of twisted bilayer graphene (TBG) with Coulomb
interaction projected into the flat bands and study the symmetries of the Hamiltonian. First …

Theory of zero-field superconducting diode effect in twisted trilayer graphene

HD Scammell, JIA Li, MS Scheurer - 2D Materials, 2022 - iopscience.iop.org
In a recent experiment (Lin et al 2021 arxiv: 2112.07841 [cond-mat. str-el]), the
superconducting phase hosted by a heterostructure of mirror-symmetric twisted trilayer …

Magic angle hierarchy in twisted graphene multilayers

E Khalaf, AJ Kruchkov, G Tarnopolsky, A Vishwanath - Physical Review B, 2019 - APS
When two monolayers of graphene are stacked with a small relative twist angle, the resulting
band structure exhibits a remarkably flat pair of bands at a sequence of “magic angles” …

Twisted bilayer graphene. II. Stable symmetry anomaly

ZD Song, B Lian, N Regnault, BA Bernevig - Physical Review B, 2021 - APS
We show that the entire continuous model of twisted bilayer graphene (TBG)(and not just the
two active bands) with particle-hole symmetry is anomalous and hence incompatible with …