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 …

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 …

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 …

Non-Abelian spin Hall insulator

A Abouelkomsan, L Fu - arXiv preprint arXiv:2406.14617, 2024 - arxiv.org
Motivated by a recent experiment reporting the fractional quantum spin Hall effect in twisted
${\rm MoTe} _2 $, we investigate microscopically the prospects of realizing exotic …

Topological quantum phase transitions driven by displacement fields in the twisted MoTe2 bilayers

P Sharma, Y Peng, DN Sheng - arXiv preprint arXiv:2405.08181, 2024 - arxiv.org
We study twisted bilayer MoTe $ _2 $ systems at fractional fillings of the lowest hole band
under applied out-of-plane displacement fields. By employing exact diagonalization in finite …

Floquet formalism for tunable optically induced orbital magnetization in twisted bilayers

J Dong, Z Lin, BL Gu, W Duan - Physical Review B, 2024 - APS
Substantial interest has been sparked by experimental observations of spontaneous orbital
magnetism in moiré materials and multilayer graphene, with a particular focus on …

Fractional Chern insulator candidate on a twisted bilayer checkerboard lattice

JZ Ma, RZ Huang, GY Zhu, JY Chen, DX Yao - Physical Review B, 2024 - APS
We investigate a fractional Chern insulator (FCI) candidate arising from moiré bands with
higher Chern number C= 2 on a magic-angle twisted bilayer checkerboard lattice …