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 …

Magic-angle helical trilayer graphene

T Devakul, PJ Ledwith, LQ Xia, 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 …

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 …

Pressure-enhanced fractional Chern insulators along a magic line in moiré transition metal dichalcogenides

N Morales-Durán, J Wang, GR Schleder, M Angeli… - Physical Review …, 2023 - APS
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 …

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 …

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 …

Untwisting moiré physics: Almost ideal bands and fractional Chern insulators in periodically strained monolayer graphene

Q Gao, J Dong, P Ledwith, D Parker, E Khalaf - Physical Review Letters, 2023 - APS
Moiré systems have emerged in recent years as a rich platform to study strong correlations.
Here, we will propose a simple, experimentally feasible setup based on periodically strained …

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 …