Self-consistent theory of fractional quantum anomalous Hall states in rhombohedral graphene

K Huang, X Li, S Das Sarma, F Zhang - Physical Review B, 2024 - APS
The fractional quantum anomalous Hall (FQAH) effect in rhombohedral pentalayer graphene
(PLG) has attracted significant attention due to its potential for observing exotic quantum …

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 …

Altermagnetic Instabilities from Quantum Geometry

N Heinsdorf - arXiv preprint arXiv:2410.12789, 2024 - arxiv.org
Altermagnets are a newly identified type of collinear anti-ferromagnetism with vanishing net
magnetic moment, characterized by lifted Kramers' degeneracy in parts of the Brillouin zone …

Robust non-Abelian even-denominator fractional Chern insulator in twisted bilayer MoTe

F Chen, WW Luo, W Zhu, DN Sheng - arXiv preprint arXiv:2405.08386, 2024 - arxiv.org
A recent experiment observes a series of quantum Hall effects in transition metal
dichalcogenide moir\'e MoTe $ _2 $[K. Kang, et. al, Nature 628, 522-526 (2024)]. Among …

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 …

A Closed Band-Projected Density Algebra Must be Girvin-MacDonald-Platzman

Z Wang, SH Simon - arXiv preprint arXiv:2410.00969, 2024 - arxiv.org
The band-projected density operators in a Landau level obey the Girvin-MacDonald-
Platzman (GMP) algebra, and a large amount of effort in the study of fractional Chern …

Orbital Description of Landau Levels

H Wang, R Shi, Z Liu, J Wang - arXiv preprint arXiv:2411.13071, 2024 - arxiv.org
We construct a minimal lattice model to provide an orbital description of lowest and first
Landau levels. With the maximally localized Wannier functions with $ s $, $ p_-$, $ p_+ …

Consecutive Flat Chern Bands and Correlated States in Monolayer Re(Ag)

K Bao, R Shi, H Wang, J Guo, J Wang - arXiv preprint arXiv:2409.01741, 2024 - arxiv.org
We theoretically propose that van der Waals monolayer Re (Ag $ X_3 $) $ _2 $($ X= $ Cl,
Br, I) have four consecutive flat Chern bands in the 120$^\circ $ spiral antiferromagnetic …