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 …
A microscopic perspective on moiré materials
Contemporary quantum materials research is guided by themes of topology and electronic
correlations. A confluence of these two themes is engineered in moiré materials, an …
correlations. A confluence of these two themes is engineered in moiré materials, an …
Non-Abelian fractional quantum anomalous Hall states and first Landau level physics of the second moiré band of twisted bilayer
Utilizing the realistic continuum description of twisted bilayer MoTe 2 and many-body exact
diagonalization calculation, we establish that the second moiré band of twisted bilayer MoTe …
diagonalization calculation, we establish that the second moiré band of twisted bilayer MoTe …
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 …
Interplay of electronic crystals with integer and fractional Chern insulators in moir\'e pentalayer graphene
The rapid development of moir\'e quantum matter has recently led to the remarkable
discovery of the fractional quantum anomalous Hall effect, and sparked predictions of other …
discovery of the fractional quantum anomalous Hall effect, and sparked predictions of other …
Composite helical edges from Abelian fractional topological insulators
We study low-temperature phases and edge-state conductance of an interacting composite
(1+ 1/n) Abelian helical edge state made of a regular helical liquid carrying charge e and a …
(1+ 1/n) Abelian helical edge state made of a regular helical liquid carrying charge e and a …
Non-Abelian Fractional Chern Insulators and Competing States in Flat Moir\'e Bands
Breakthrough experiments have recently realized fractional Chern insulators (FCIs) in
moir\'e materials. However, all states observed are Abelian, the possible existence of more …
moir\'e materials. However, all states observed are Abelian, the possible existence of more …
Diverse impacts of spin-orbit coupling on superconductivity in rhombohedral graphene
Engineering non-Abelian quasiparticles by combining superconductivity and topological
states have been proposed as a route to realize topological quantum computation …
states have been proposed as a route to realize topological quantum computation …
Higher Landau-Level Analogues and Signatures of Non-Abelian States in Twisted Bilayer MoTe
Recent experimental discovery of fractional Chern insulators at zero magnetic field in moir\'e
superlattices has sparked intense interests in bringing Landau level physics to flat Chern …
superlattices has sparked intense interests in bringing Landau level physics to flat Chern …
Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
K Kolář, K Yang, F von Oppen, C Mora - Physical Review B, 2024 - APS
We study the topological bands in twisted bilayer transition metal dichalcogenides in an
external magnetic field. We first focus on a paradigmatic model of WSe 2, which can be …
external magnetic field. We first focus on a paradigmatic model of WSe 2, which can be …