Observation of Integer and Fractional Quantum Anomalous Hall Effects in Twisted Bilayer

F Xu, Z Sun, T Jia, C Liu, C Xu, C Li, Y Gu, K Watanabe… - Physical Review X, 2023 - APS
The interplay between strong correlations and topology can lead to the emergence of
intriguing quantum states of matter. One well-known example is the fractional quantum Hall …

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 …

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 …

Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides

V Crépel, L Fu - Physical Review B, 2023 - APS
We predict robust Ising ferromagnetism driven by Coulomb interaction in the metallic phase
of twisted transition metal dichalcogenide homobilayers for a range of small twist angles …

Exact landau level description of geometry and interaction in a flatband

J Wang, J Cano, AJ Millis, Z Liu, B Yang - Physical review letters, 2021 - APS
Flatbands appear in many condensed matter systems, including the two-dimensional
electron gas in a high magnetic field, correlated materials, and moiré heterostructures. They …

Spontaneous fractional Chern insulators in transition metal dichalcogenide moiré superlattices

H Li, U Kumar, K Sun, SZ Lin - Physical Review Research, 2021 - APS
The Moiré superlattice realized in two-dimensional heterostructures offers an exciting
platform to access strongly correlated electronic states. In this work, we study transition metal …

Vortexability: A unifying criterion for ideal fractional Chern insulators

PJ Ledwith, A Vishwanath, DE Parker - Physical Review B, 2023 - APS
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

Hierarchy of ideal flatbands in chiral twisted multilayer graphene models

J Wang, Z Liu - Physical Review Letters, 2022 - APS
We propose models of twisted multilayer graphene that exhibit exactly flat Bloch bands with
arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting …

Family of ideal chern flatbands with arbitrary chern number in chiral twisted graphene multilayers

PJ Ledwith, A Vishwanath, E Khalaf - Physical Review Letters, 2022 - APS
We consider a family of twisted graphene multilayers consisting of n-untwisted chirally
stacked layers, eg, AB, ABC, etc, with a single twist on top of m-untwisted chirally stacked …