Parafermions in moiré minibands

H Liu, R Perea-Causin, EJ Bergholtz - Nature Communications, 2025 - nature.com
Moiré materials provide a remarkably tunable platform for topological and strongly
correlated quantum phases of matter. Very recently, the first Abelian fractional Chern …

Quantum Geometry in Quantum Materials

J Yu, BA Bernevig, R Queiroz, E Rossi, P Törmä… - ar** of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe
B Li, F Wu - ar** between Chern bands and generalized Landau
levels in twisted bilayer MoTe $ _2 $, where fractional Chern insulators have been …

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 …

Corner charge fluctuations and many-body quantum geometry

XC Wu, KL Cai, M Cheng, P Kumar - arxiv preprint arxiv:2408.16057, 2024 - arxiv.org
In many-body systems with U (1) global symmetry, the charge fluctuations in a subregion
reveal important insights into entanglement and other global properties. For subregions with …

Uniqueness of Landau levels and their analogs with higher Chern numbers

B Mera, T Ozawa - Physical Review Research, 2024 - APS
Landau levels are the eigenstates of a charged particle in two dimensions under a magnetic
field and are at the heart of the integer and fractional quantum Hall effects, which are two …

Quantum anomalous Hall crystals in moir\'e bands with higher Chern number

R Perea-Causin, H Liu, EJ Bergholtz - arxiv preprint arxiv:2412.02745, 2024 - arxiv.org
The realization of fractional Chern insulators in moir\'e materials has sparked the search for
further novel phases of matter in this platform. In particular, recent works have demonstrated …

Absence of gapless Majorana edge modes in few-leg bosonic flux ladders

FA Palm, C Repellin, N Goldman, F Grusdt - Physical Review Research, 2025 - APS
The search for Majorana excitations has seen tremendous efforts in recent years, ultimately
aiming for their individual controllability in future topological quantum computers. A …

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 …