Ideal topological flat bands in chiral symmetric moire systems from non-holomorphic functions.

ABSTRACT: Recent studies on topological flat bands and their fractional states have revealed increasing similarities between moiré flat bands and Landau levels (LLs). For instance, like the lowest LL, topological exact flat bands with ideal quantum geometry can be constructed using the same holomorphic function structure, ψk=fk-k0(z)ψk0 , where f_k(z) is a holomorphic function. This holomorphic structure has been the foundation of existing knowledge on constructing ideal topological flat bands. In this article, we report a new family of ideal topological flat bands where the f function does not need to be holomorphic. We provide both model examples and universal principles, as well as an analytic method to construct the wavefunctions of these flat bands, revealing their universal propertie

SUBMITTER: Sarkar S 

PROVIDER: S-EPMC12317057 | biostudies-literature | 2025 Aug

REPOSITORIES: biostudies-literature