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 …

Non-Abelian fractional quantum anomalous Hall states and first Landau level physics of the second moiré band of twisted bilayer

CE Ahn, W Lee, K Yananose, Y Kim, GY Cho - Physical Review B, 2024 - APS
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 …

Adiabatic approximation and Aharonov-Casher bands in twisted homobilayer transition metal dichalcogenides

J Shi, N Morales-Durán, E Khalaf, AH MacDonald - Physical Review B, 2024 - APS
Topological flat moiré bands with nearly ideal quantum geometry have been identified in
homobilayer transition metal dichalcogenide moiré superlattices, and are thought to be …

Spinon Pairing Induced by Chiral In-Plane Exchange and the Stabilization of Odd-Spin Chern Number Spin Liquid in Twisted

V Crépel, A Millis - Physical Review Letters, 2024 - APS
The unusual structure and symmetry of low-energy states in twisted transition metal
dichalcogenides leads to large in-plane spin-exchange interactions between spin-valley …

Non-Abelian Fractional Chern Insulators and Competing States in Flat Moir\'e Bands

H Liu, Z Liu, EJ Bergholtz - arXiv preprint arXiv:2405.08887, 2024 - arxiv.org
Breakthrough experiments have recently realized fractional Chern insulators (FCIs) in
moir\'e materials. However, all states observed are Abelian, the possible existence of more …

Higher Landau-Level Analogues and Signatures of Non-Abelian States in Twisted Bilayer MoTe

C Wang, XW Zhang, X Liu, J Wang, T Cao… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

Composite helical edges from Abelian fractional topological insulators

YZ Chou, S Das Sarma - Physical Review B, 2024 - APS
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 …

Interplay of electronic crystals with integer and fractional Chern insulators in moir\'e pentalayer graphene

D Waters, A Okounkova, R Su, B Zhou, J Yao… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

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 …

Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe

B Li, F Wu - arXiv preprint arXiv:2405.20307, 2024 - arxiv.org
We present a theoretical study of mapping between Chern bands and generalized Landau
levels in twisted bilayer MoTe $ _2 $, where fractional Chern insulators have been …