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 …
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 …
Pressure-enhanced fractional Chern insulators along a magic line in moiré transition metal dichalcogenides
We show that pressure applied to twisted WSe 2 can enhance the many-body gap and
region of stability of a fractional Chern insulator at filling ν= 1/3. Our results are based on …
region of stability of a fractional Chern insulator at filling ν= 1/3. Our results are based on …
Origin of model fractional Chern insulators in all topological ideal flatbands: Explicit color-entangled wave function and exact density algebra
It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Adiabatic approximation and Aharonov-Casher bands in twisted homobilayer transition metal dichalcogenides
Topological flat moiré bands with nearly ideal quantum geometry have been identified in
homobilayer transition metal dichalcogenide moiré superlattices, and are thought to be …
homobilayer transition metal dichalcogenide moiré superlattices, and are thought to be …
Ideal Chern bands as Landau levels in curved space
We prove that all the criteria proposed in the literature to identify a Chern band hosting exact
fractional Chern insulating ground states, in fact, describe an equivalence with a lowest …
fractional Chern insulating ground states, in fact, describe an equivalence with a lowest …
Self-consistent theory of fractional quantum anomalous Hall states in rhombohedral graphene
The fractional quantum anomalous Hall (FQAH) effect in rhombohedral pentalayer graphene
(PLG) has attracted significant attention due to its potential for observing exotic quantum …
(PLG) has attracted significant attention due to its potential for observing exotic quantum …
“quantum geometric nesting” and solvable model flat-band systems
We introduce the concept of “quantum geometric nesting”(QGN) to characterize the
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
Intertwined fractional quantum anomalous Hall states and charge density waves
Motivated by the recent experimental breakthrough on the observation of the fractional
quantum anomalous Hall (FQAH) effects in semiconductor and graphene moiré materials …
quantum anomalous Hall (FQAH) effects in semiconductor and graphene moiré materials …