Superconductivity, superfluidity and quantum geometry in twisted multilayer systems

P Törmä, S Peotta, BA Bernevig - Nature Reviews Physics, 2022 - nature.com
Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …

Fractional Chern Insulator in Twisted Bilayer

C Wang, XW Zhang, X Liu, Y He, X Xu, Y Ran, T Cao… - Physical Review Letters, 2024 - APS
A recent experiment has reported the first observation of a zero-field fractional Chern
insulator (FCI) phase in twisted bilayer MoTe 2 moiré superlattices [J. Cai, Signatures of …

Recent developments in fractional Chern insulators

Z Liu, EJ Bergholtz - arxiv preprint arxiv:2208.08449, 2022 - arxiv.org
Fractional Chern insulators (FCIs) are lattice generalizations of the conventional fractional
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …

Composite Fermi Liquid at Zero Magnetic Field in Twisted

J Dong, J Wang, PJ Ledwith, A Vishwanath… - Physical Review Letters, 2023 - APS
The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing
magnetic field is a long-standing quest of solid state physics. Recent experiments have …

Anomalous Hall crystals in rhombohedral multilayer graphene. I. Interaction-driven Chern bands and fractional quantum Hall states at zero magnetic field

J Dong, T Wang, T Wang, T Soejima, MP Zaletel… - Physical Review Letters, 2024 - APS
Recent experiments on rhombohedral pentalayer graphene with a substrate-induced moiré
potential have identified both Chern insulators and fractional quantum Hall states at zero …

Fractional quantum anomalous Hall states in twisted bilayer and

AP Reddy, F Alsallom, Y Zhang, T Devakul, L Fu - Physical Review B, 2023 - APS
We demonstrate via exact diagonalization that AA-stacked transition metal dichalcogenide
homobilayers host fractional quantum anomalous Hall (FQAH) states with fractionally …

Zero-field composite Fermi liquid in twisted semiconductor bilayers

H Goldman, AP Reddy, N Paul, L Fu - Physical Review Letters, 2023 - APS
Recent experiments have produced evidence for fractional quantum anomalous Hall
(FQAH) states at zero magnetic field in the semiconductor moiré superlattice system t MoTe …

Non-Abelian fractionalization in topological minibands

AP Reddy, N Paul, A Abouelkomsan, L Fu - Physical Review Letters, 2024 - APS
Motivated by the recent discovery of fractional quantum anomalous Hall states in moiré
systems, we consider the possibility of realizing non-Abelian phases in topological …

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 …

Parent Berry curvature and the ideal anomalous Hall crystal

T Tan, T Devakul - Physical Review X, 2024 - APS
We study a model of electrons moving in a parent band of uniform Berry curvature. At
sufficiently high parent Berry curvature, we show that strong repulsive interactions …