Superconductivity, superfluidity and quantum geometry in twisted multilayer systems
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 …
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …
Fractional Chern Insulator in Twisted Bilayer
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 …
insulator (FCI) phase in twisted bilayer MoTe 2 moiré superlattices [J. Cai, Signatures of …
Recent developments in fractional Chern insulators
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 …
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …
Composite Fermi Liquid at Zero Magnetic Field in Twisted
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 …
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
Recent experiments on rhombohedral pentalayer graphene with a substrate-induced moiré
potential have identified both Chern insulators and fractional quantum Hall states at zero …
potential have identified both Chern insulators and fractional quantum Hall states at zero …
Fractional quantum anomalous Hall states in twisted bilayer and
We demonstrate via exact diagonalization that AA-stacked transition metal dichalcogenide
homobilayers host fractional quantum anomalous Hall (FQAH) states with fractionally …
homobilayers host fractional quantum anomalous Hall (FQAH) states with fractionally …
Zero-field composite Fermi liquid in twisted semiconductor bilayers
Recent experiments have produced evidence for fractional quantum anomalous Hall
(FQAH) states at zero magnetic field in the semiconductor moiré superlattice system t MoTe …
(FQAH) states at zero magnetic field in the semiconductor moiré superlattice system t MoTe …
Non-Abelian fractionalization in topological minibands
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 …
systems, we consider the possibility of realizing non-Abelian phases in topological …
Magic-angle helical trilayer graphene
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 …
identical rotation angles between three consecutive layers of graphene, as a unique and …
Parent Berry curvature and the ideal anomalous Hall crystal
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 …
sufficiently high parent Berry curvature, we show that strong repulsive interactions …