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 …

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 …

Ideal topological flat bands in chiral symmetric moir\'e systems from non-holomorphic functions

S Sarkar, X Wan, Y Zhang, K Sun - arXiv preprint arXiv:2408.12555, 2024 - arxiv.org
Recent studies on topological flat bands and their fractional states have revealed increasing
similarities between moir\'e flat bands and Landau levels (LLs). For instance, like the lowest …